Sierpinski conjectures and proofs

Sierpinski conjectures and proofs
Bases that are powers of 2 are shown on a separate page.

Started: Dec. 14, 2007
Last update: June 28, 2023

Compiled by Gary Barnes

Riesel conjectures
Riesel conjectures powers of 2
Sierpinski conjectures powers of 2
Sierpinski conjecture reservations

All n must be >= 1.

k-values with at least one of the following conditions are excluded from the conjectures:
     1. All n-values have a single trivial factor.
     2. Make a full covering set with all or partial algebraic factors.
     3. Make generalized Fermat numbers (GFn's), i.e. q^m*b^n+1 where b is the base, m>=0, and q is a root of the base.

k-values that are a multiple of base (b) and where k+1 is composite are included in the conjectures but excluded from testing.
Such k-values will have the same prime as k / b.

Green = testing through other projects
Gray = conjecture proven

Testing not done through other projects is coordinated at Mersenneforum Conjectures 'R Us.

Base	Conjectured Sierpinski k	Covering set	k's that make a full covering set with all or partial algebraic factors	Trivial k's (factor)	Remaining k to find prime (n testing limit)	Top 10 k's with largest first primes: k (n)	Comments / GFn's without a prime / accounting of all k's
3	125050976086	5, 7, 13, 17, 19, 37, 41, 193, 757		k = = 1 mod 2 (2)	411412 k's remaining at n>=50K. See k's and test limits at Sierpinski Base 3 remain.	125030472038 (945719) 125035448126 (933576) 125000536756 (774704) 125026898182 (751689) 125033255936 (690611) 125023497122 (550124) 125046722746 (542844) 125011623424 (536110) 608558012 (498094) 961852454 (495371)	See all primes for n>25K at prime-sierp-base3-gt-25K.zip.
5	159986	3, 7, 13, 31, 601		k = = 1 mod 2 (2)	30 k's remaining at n=4.3M. See k's at Sierpinski Base 5 remain.	118568 (3112069) 138514 (2771922) 81556 (2539960) 92158 (2145024) 77072 (2139921) 154222 (2091432) 144052 (2018290) 109208 (1816285) 133778 (1785689) 24032 (1768249)	All k's are being worked on by PrimeGrid's Sierpinski/Riesel Base 5 project. See k's and test limits at Sierpinski/Riesel Base 5 project stats. all-ks-sierp-base5.txt
6	174308	7, 13, 31, 37, 97		k = = 4 mod 5 (5)	13215 (4M) 14505 (4M) 50252 (4M) 76441 (4M) 87800 (4M) 97131 (4M) 112783 (4M) 127688 (4M) 166753 (4M) 168610 (4M)	124125 (2018254) 139413 (1279992) 33706 (910462) 125098 (896696) 31340 (833096) 59506 (780877) 10107 (559967) 113966 (511831) 172257 (349166) 121736 (298935)	k = 1296, 7776, and 46656 are GFn's with no known prime. all-ks-sierp-base6.zip
7	1112646039348	5, 13, 19, 43, 73, 181, 193, 1201		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	19917 k's remaining for k<=1G at n>=25K. See k's and test limits at Sierpinski Base 7 remain.	1952376 (293352) 5452324 (277094) 5071026 (261921) 4325044 (260713) 4377694 (242365) 1711614 (240590) 2084536 (231987) 2506872 (226342) 7467202 (214914) 4205358 (214504)	See all primes for n>25K at Sierpinski Base 7 primes.
9	2344	5, 7, 13, 73		k = = 1 mod 2 (2)	2036 (5M)	1846 (65376) 1804 (44103) 1884 (16093) 1306 (3374) 914 (1813) 1746 (1320) 1934 (935) 1076 (828) 1272 (480) 1468 (382)	all-ks-sierp-base9.txt
10	9175	7, 11, 13, 37		k = = 2 mod 3 (3)	7666 (3M)	5028 (83982) 7404 (44826) 8194 (21129) 4069 (12095) 7809 (11793) 6172 (10740) 9021 (8090) 8889 (7588) 804 (5470) 1024 (4554)	k = 100 and 1000 are GFn's with no known prime. all-ks-sierp-base10.txt
11	1490	3, 7, 19, 37		k = = 1 mod 2 (2) k = = 4 mod 5 (5)	none - proven	958 (300544) 1468 (26258) 416 (12741) 1046 (3201) 1420 (2564) 626 (991) 1292 (575) 908 (573) 502 (432) 1370 (383)	all-ks-sierp-base11.txt
12	521	5, 13, 29		k = = 10 mod 11 (11)	none - proven	404 (714558) 378 (2388) 261 (644) 407 (367) 354 (291) 37 (199) 30 (144) 88 (113) 17 (78) 239 (71)	k = 12 and 144 are GFn's with no known prime. all-ks-sierp-base12.txt
13	132	5, 7, 17		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	none - proven	48 (6267) 120 (1552) 106 (56) 64 (26) 112 (12) 118 (11) 18 (11) 36 (8) 30 (4) 130 (3)	all-ks-sierp-base13.txt
14	4	3, 5		k = = 12 mod 13 (13)	none - proven	3 (1) 2 (1)	all-ks-sierp-base14.txt
15	91218919470156	13, 17, 113, 211, 241, 1489, 3877		k = = 1 mod 2 (2) k = = 6 mod 7 (7)	10362 k's remaining for k<=1G at n>=25K. See k's and test limits at Sierpinski Base 15 remain.	3859132 (195563) 1868998 (186814) 734268 (180565) 4713672 (83962) 3429436 (78867) 4149714 (72183) 4989408 (67951) 913244 (67709) 3049998 (67110) 1295982 (66064)	See all primes for n>25K at Sierpinski Base 15 primes.
17	278	3, 5, 29		k = = 1 mod 2 (2)	244 (5M)	262 (186768) 160 (166048) 92 (51311) 88 (4868) 10 (1356) 166 (1068) 208 (984) 104 (871) 128 (225) 106 (144)	all-ks-sierp-base17.txt
18	398	5, 13, 19		k = = 16 mod 17 (17)	none - proven	122 (292318) 381 (24108) 291 (2415) 37 (457) 362 (258) 123 (236) 183 (171) 363 (163) 209 (79) 318 (78)	k = 18 and 324 are GFn's with no known prime. all-ks-sierp-base18.txt
19	765174	5, 7, 13, 127, 769		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	525 k's remaining at n=200K. See k's at Sierpinski Base 19 remain.	256134 (199223) 624466 (198780) 353334 (198135) 477744 (197605) 721306 (197530) 142656 (197148) 314326 (196612) 375546 (195324) 60874 (195067) 669456 (194952)	all-ks-sierp-base19.zip
20	8	3, 7		k = = 18 mod 19 (19)	none - proven	6 (15) 7 (2) 4 (2) 5 (1) 3 (1) 2 (1)	all-ks-sierp-base20.txt
21	1002	11, 13, 17		k = = 1 mod 2 (2) k = = 4 mod 5 (5)	none - proven	118 (19849) 922 (230) 736 (215) 976 (84) 978 (43) 582 (39) 818 (35) 456 (31) 632 (28) 472 (25)	all-ks-sierp-base21.txt
22	6694	5, 23, 97		k = = 2 mod 3 (3) k = = 6 mod 7 (7)	5128 (2M)	1611 (738988) 1908 (355313) 4233 (304046) 5659 (97758) 6462 (45507) 5061 (24048) 942 (18359) 6234 (16010) 2991 (10484) 5751 (4272)	k = 22 and 484 are GFn's with no known prime. all-ks-sierp-base22.txt
23	182	3, 5, 53		k = = 1 mod 2 (2) k = = 10 mod 11 (11)	none - proven	68 (365239) 8 (119215) 122 (14049) 124 (3118) 154 (2898) 80 (575) 82 (474) 108 (350) 4 (342) 136 (140)	all-ks-sierp-base23.txt
24	30651	5, 7, 13, 73, 79		k = = 22 mod 23 (23)	61 k's remaining at n=400K. See k's at Sierpinski base 24 remain.	13984 (397259) 3846 (383526) 23981 (360062) 8369 (359371) 3706 (353908) 12799 (353083) 29009 (338099) 28099 (332519) 21526 (329368) 26804 (266195)	all-ks-sierp-base24.txt
25	262638	7, 13, 31, 601		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	81 k's remaining at n>=350K. See k's and test limits at Sierpinski base 25 remain.	138514 (1385961) 81556 (1269980) 92158 (1072512) 154222 (1045716) 144052 (1009145) 120160 (884124) 186460 (743994) 92182 (567631) 110488 (458550) 35970 (325889)	k's < 159986 where k = = 1 mod 3 are being worked on by PrimeGrid's Sierpinski/Riesel Base 5 project. k's and primes are converted from base 5. all-ks-sierp-base25.zip
26	221	3, 7, 19, 37		k = = 4 mod 5 (5)	65 (1M) 155 (1M)	32 (318071) 217 (11454) 95 (1683) 178 (1154) 138 (827) 157 (308) 175 (276) 211 (98) 197 (71) 13 (68)	all-ks-sierp-base26.txt
27	538	5, 7, 73	All k = m^3 for all n; factors to: (m3^n + 1) (m^29^n - m3^n + 1)	k = = 1 mod 2 (2) k = = 12 mod 13 (13)	398 (2M)	342 (36291) 526 (7668) 316 (384) 244 (335) 160 (155) 414 (138) 208 (77) 396 (64) 212 (47) 274 (34)	k = 8, 216, and 512 proven composite by full algebraic factors. all-ks-sierp-base27.txt
28	4554	5, 29, 157		k = = 2 mod 3 (3)	871 (1M) 4552 (1M)	3394 (427262) 4233 (331135) 2377 (104621) 1291 (22811) 2203 (13911) 1797 (5681) 2467 (4956) 4177 (3566) 1623 (3295) 2452 (2552)	all-ks-sierp-base28.txt
29	4	3, 5		k = = 1 mod 2 (2) k = = 6 mod 7 (7)	none - proven	2 (1)	all-ks-sierp-base29.txt
30	867	7, 13, 19, 31		k = = 28 mod 29 (29)	278 (1M) 588 (1M)	699 (11837) 242 (5064) 659 (4936) 311 (1760) 559 (1654) 557 (1463) 740 (1135) 12 (1023) 83 (644) 293 (361)	all-ks-sierp-base30.txt
31	6360528	7, 13, 19, 37, 331		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	503 k's remaining at n=100K. See k's at Sierpinski Base 31 remain.	3419662 (97826) 1751346 (97378) 2983422 (97021) 3298528 (96957) 4238758 (96859) 2858922 (96460) 10366 (95452) 3679330 (94827) 2645352 (94350) 3866062 (93130)
33	1854	5, 17, 109		k = = 1 mod 2 (2)	none - proven	766 (610412) 1818 (79815) 1678 (46632) 36 (23615) 1718 (16176) 1580 (9213) 1240 (6953) 154 (6846) 596 (6244) 288 (4583)
34	6	5, 7		k = = 2 mod 3 (3) k = = 10 mod 11 (11)	none - proven	4 (1) 3 (1)
35	214018	3, 13, 97, 397		k = = 1 mod 2 (2) k = = 16 mod 17 (17)	325 k's remaining at n=100K. See k's at Sierpinski Base 35 remain.	102644 (98619) 166252 (97338) 60878 (97091) 78608 (96777) 16036 (96730) 134618 (96177) 109808 (95759) 105700 (95078) 111398 (94149) 2006 (91431)
36	1886	13, 31, 37, 43		k = = 4 mod 5 (5) k = = 6 mod 7 (7)	none - proven	960 (1571) 716 (1554) 526 (698) 1096 (407) 1570 (352) 667 (302) 1115 (280) 1517 (192) 128 (172) 1751 (147)	k = 1296 is a GFn with no known prime.
37	2604	5, 19, 137		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	94 (1M) 1272 (1M) 2224 (1M)	1866 (48305) 2512 (9932) 936 (8608) 334 (6841) 1296 (6196) 1522 (3431) 1774 (3362) 664 (2149) 52 (1628) 1728 (1577)
38	14	3, 13		k = = 36 mod 37 (37)	none - proven	2 (2729) 9 (21) 4 (10) 8 (7) 10 (4) 7 (4) 3 (3) 13 (2) 12 (1) 11 (1)	k = 1 is a GFn with no known prime.
39	166134	5, 7, 223, 1483		k = = 1 mod 2 (2) k = = 18 mod 19 (19)	259 k's remaining at n=100K. See k's at Sierpinski Base 39 remain.	103164 (99999) 44446 (98862) 52026 (98648) 97926 (98302) 53884 (97647) 46846 (97412) 143834 (96785) 104044 (96577) 64076 (96342) 29984 (96207)
40	826477	7, 41, 223, 547		k = = 2 mod 3 (3) k = = 12 mod 13 (13)	238 k's remaining at n=100K. See k's at Sierpinski Base 40 remain.	106681 (98153) 201885 (97900) 326236 (97481) 804421 (96594) 284908 (95843) 213609 (95297) 808029 (95230) 234888 (94799) 529965 (93483) 457108 (93385)	k = 1600 and 64000 are GFn's with no known prime.
41	8	3, 7		k = = 1 mod 2 (2) k = = 4 mod 5 (5)	none - proven	6 (3) 2 (1)
42	13372	5, 43, 353		k = = 40 mod 41 (41)	988 (1M) 1117 (1M) 1421 (1M) 3226 (1M) 4127 (1M) 5503 (1M) 6707 (1M) 8298 (1M) 8601 (1M) 9074 (1M) 11093 (1M) 11717 (1M) 11738 (1M) 11912 (1M) 12256 (1M)	8343 (560662) 12001 (312245) 12042 (277646) 4643 (143933) 4297 (142044) 4731 (141968) 3897 (136780) 10009 (132629) 2794 (126595) 8300 (116404)	k = 42 and 1764 are GFn's with no known prime.
43	2256	5, 11, 37		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7)	166 (1M)	648 (194123) 1468 (10855) 2146 (3388) 1792 (2569) 450 (1299) 1638 (1043) 2122 (777) 1486 (660) 1954 (546) 618 (542)
44	4	3, 5		k = = 42 mod 43 (43)	none - proven	3 (9) 2 (1)
45	53474	7, 19, 23, 109		k = = 1 mod 2 (2) k = = 10 mod 11 (11)	26 k's remaining at n=250K. See k's at Sierpinski Base 45 remain.	12260 (238642) 36716 (238457) 9774 (234077) 19022 (213592) 35120 (209441) 47356 (170867) 47910 (160144) 23760 (150560) 20860 (141393) 37556 (106036)
46	14992	7, 19, 47, 103		k = = 2 mod 3 (3) k = = 4 mod 5 (5)	892 (700K) 976 (700K) 1132 (700K) 1798 (700K) 3477 (700K) 3961 (700K) 4842 (700K) 6015 (700K) 9918 (700K) 11686 (700K) 12585 (700K) 13725 (700K)	11796 (599707) 7675 (424840) 7566 (420563) 3261 (381439) 10950 (301087) 6816 (291720) 14166 (242276) 11751 (163218) 5395 (131937) 13443 (99244)
47	8	3, 5, 13		k = = 1 mod 2 (2) k = = 22 mod 23 (23)	none - proven	2 (175) 4 (2) 6 (1)
48	1219	7, 13, 61, 181		k = = 46 mod 47 (47)	36 (700K) 62 (700K) 153 (700K) 561 (700K) 1114 (700K) 1168 (700K)	622 (584089) 937 (309725) 701 (284564) 1077 (216501) 1086 (136352) 1121 (133656) 29 (133042) 841 (84732) 1099 (81106) 359 (35671)
49	2944	5, 19, 73, 181, 193		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	1414 (1M) 1456 (1M)	1134 (66183) 2694 (60523) 2746 (49438) 186 (33764) 2488 (29737) 774 (18341) 2134 (11099) 1494 (7823) 2922 (7498) 1156 (3206)
50	16	3, 17		k = = 6 mod 7 (7)	none - proven	7 (516) 4 (10) 11 (9) 10 (4) 9 (2) 15 (1) 14 (1) 12 (1) 8 (1) 5 (1)	k = 1 is a GFn with no known prime.
51	5183582	7, 13, 379, 2551		k = = 1 mod 2 (2) k = = 4 mod 5 (5)	4319 k's remaining at n=80K. See k's at Sierpinski Base 51 remain.	1353756 (79990) 1486278 (79956) 678898 (79935) 2751152 (79848) 440506 (79836) 3878486 (79826) 4176346 (79772) 3420612 (79669) 4380648 (79663) 4701280 (79649)
52	28674	5, 53, 541		k = = 2 mod 3 (3) k = = 16 mod 17 (17)	3232 (500K) 3418 (500K) 8638 (500K) 9943 (500K) 15157 (500K) 15424 (500K) 15901 (500K) 17277 (500K) 18328 (500K) 19081 (500K) 23586 (500K) 24697 (500K) 25492 (500K) 25494 (500K) 26923 (500K) 27877 (500K)	23902 (382687) 24328 (310932) 2386 (308276) 5619 (231302) 10188 (208273) 28198 (189440) 15636 (186996) 6147 (157091) 16273 (134573) 27082 (131415)	k = 52 and 2704 are GFn's with no known prime.
53	1966	3, 5, 281		k = = 1 mod 2 (2) k = = 12 mod 13 (13)	4 (2.24M) 62 (700K) 152 (700K) 184 (700K) 346 (700K) 866 (700K) 1066 (700K) 1084 (700K) 1154 (700K) 1174 (700K) 1238 (700K) 1298 (700K) 1328 (700K) 1414 (700K) 1426 (700K) 1838 (700K) 1862 (700K) 1892 (700K)	280 (333574) 8 (227183) 1534 (171870) 544 (157878) 872 (131625) 196 (85016) 338 (82923) 1480 (58038) 1276 (46496) 1816 (42232)
54	21	5, 11		k = = 52 mod 53 (53)	none - proven	19 (103) 16 (30) 13 (7) 12 (4) 4 (3) 20 (2) 18 (2) 11 (2) 6 (2) 17 (1)
55	4416	7, 17, 89	k=2500: odd n: factor of 7 n = = 2 mod 4: factor of 17 n = = 0 mod 4: let n=4q and let m=555^q; factors to: (2m^2 + 2m + 1) * (2*m^2 - 2m + 1)	k = = 1 mod 2 (2) k = = 2 mod 3 (3)	36 (1M) 778 (1M) 2274 (1M) 3940 (1M)	4360 (29655) 3886 (27868) 2010 (26234) 1462 (24481) 834 (18504) 610 (12616) 810 (11241) 1114 (7862) 3058 (5259) 3480 (4718)
56	20	3, 19		k = = 4 mod 5 (5) k = = 10 mod 11 (11)	none - proven	13 (6) 7 (6) 3 (5) 16 (2) 15 (2) 18 (1) 17 (1) 12 (1) 11 (1) 8 (1)
57	1188	5, 13, 29		k = = 1 mod 2 (2) k = = 6 mod 7 (7)	none - proven	378 (67340) 150 (15759) 14 (14955) 1132 (2636) 1074 (2270) 460 (738) 784 (494) 892 (446) 1178 (372) 564 (311)
58	43071	5, 59, 673		k = = 2 mod 3 (3) k = = 18 mod 19 (19)	96 k's remaining at n=125K. See k's at Sierpinski Base 58 remain.	12108 (122896) 29124 (122559) 15417 (116850) 7612 (116790) 23424 (116434) 35976 (112155) 34632 (109065) 28321 (95320) 25639 (92935) 29454 (92155)	k = 58 and 3364 are GFn's with no known prime.
59	4	3, 5		k = = 1 mod 2 (2) k = = 28 mod 29 (29)	none - proven	2 (3)
60	16957	13, 61, 277		k = = 58 mod 59 (59)	853 (500K) 1646 (500K) 2075 (500K) 4025 (500K) 4406 (500K) 4441 (500K) 5064 (500K) 6772 (500K) 7262 (500K) 7931 (500K) 10226 (500K) 11406 (500K) 12323 (500K) 13785 (500K) 14958 (500K) 15007 (500K) 15452 (500K) 15676 (500K) 16050 (500K)	14066 (324990) 16014 (227010) 5767 (201439) 12927 (191870) 11441 (180105) 8923 (109088) 13846 (90979) 2497 (88149) 10405 (77541) 6465 (37209)	k = 60 and 3600 are GFn's with no known prime.
61	15168	7, 13, 97, 523		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	1642 (500K) 3442 (500K) 3936 (500K) 6852 (500K) 8772 (500K) 9208 (500K) 9268 (500K) 11626 (500K) 12778 (500K)	8710 (165595) 9952 (111514) 1570 (55386) 8902 (49779) 12678 (47731) 11736 (45311) 3390 (42464) 7348 (40894) 14052 (32735) 12336 (20138)
62	8	3, 7		k = = 60 mod 61 (61)	none - proven	7 (308) 2 (43) 3 (12) 4 (2) 6 (1) 5 (1)	k = 1 is a GFn with no known prime.
63	37565868	5, 13, 37, 109, 3907	k=3511808 & 27000000: n = = 1 mod 3: factor of 37 n = = 2 mod 3: factor of 109 n = = 0 mod 3: let n=3q and k=m^3; factors to: (m63^q + 1) [m^263^(2q) - m63^q + 1]	k = = 1 mod 2 (2) k = = 30 mod 31 (31)	33772 k's remaining at n=25K. See k's at Sierpinski base 63 remain.	28843694 (24999) 1927378 (24999) 101058 (24999) 26532412 (24998) 30295674 (24997) 22636574 (24997) 15492974 (24995) 4150428 (24995) 33206820 (24994) 401440 (24993)
65	10	3, 11		k = = 1 mod 2 (2)	none - proven	6 (5) 4 (2) 8 (1) 2 (1)
66	21314443	7, 17, 37, 67, 73, 4357		k = = 4 mod 5 (5) k = = 12 mod 13 (13)	10856 k's remaining at n>=25K. See k's and test limits at Sierpinski base 66 remain.	2268485 (99969) 1885047 (99777) 2014756 (99023) 2760682 (98888) 2935271 (98566) 2199818 (98471) 1896235 (98372) 3182540 (98311) 352890 (98272) 730435 (98236)	k = 4356, 287496, and 18974736 are GFn's with no known prime.
67	18342	5, 17, 449		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 10 mod 11 (11)	33 k's remaining at n=250K. See k's at Sierpinski Base 67 remain.	13294 (215689) 17800 (197288) 8142 (187107) 6516 (181499) 2872 (174623) 12802 (170944) 5668 (170478) 15930 (152250) 15112 (142915) 10758 (115057)
68	22	3, 23		k = = 66 mod 67 (67)	17 (1M)	12 (656921) 11 (3947) 8 (319) 16 (36) 5 (29) 13 (26) 19 (6) 10 (6) 4 (6) 18 (2)	k = 1 is a GFn with no known prime.
69	6	5, 7		k = = 1 mod 2 (2) k = = 16 mod 17 (17)	none - proven	4 (1) 2 (1)
70	11077	13, 29, 71		k = = 2 mod 3 (3) k = = 22 mod 23 (23)	10438 (1M)	9231 (515544) 5608 (429979) 3762 (347127) 4119 (157484) 9471 (28526) 285 (24906) 9586 (24102) 4351 (20359) 7552 (17091) 5857 (12975)	k = 70 and 4900 are GFn's with no known prime.
72	731	5, 61, 73		k = = 70 mod 71 (71)	none - proven	493 (480933) 647 (60536) 489 (20201) 559 (9626) 395 (8171) 444 (6071) 499 (2998) 292 (2779) 649 (2658) 521 (1208)	k = 72 is a GFn with no known prime.
73	1444	5, 13, 37		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	none - proven	1344 (355570) 778 (220782) 214 (22874) 628 (16143) 432 (2673) 1192 (1696) 1116 (1084) 468 (839) 636 (375) 502 (342)
74	4	3, 5		k = = 72 mod 73 (73)	none - proven	3 (1) 2 (1)
75	4086	7, 13, 19, 61		k = = 1 mod 2 (2) k = = 36 mod 37 (37)	1312 (1.3M)	2564 (610753) 2336 (43523) 3782 (41086) 2500 (38755) 1082 (15609) 1844 (13296) 2188 (11903) 948 (10963) 1920 (9704) 360 (6333)
76	43	7, 11		k = = 2 mod 3 (3) k = = 4 mod 5 (5)	none - proven	36 (26) 22 (16) 15 (6) 42 (4) 33 (4) 13 (3) 37 (2) 18 (2) 12 (2) 7 (2)
77	14	3, 13		k = = 1 mod 2 (2) k = = 18 mod 19 (19)	none - proven	4 (6098) 10 (4) 12 (3) 2 (3) 8 (1) 6 (1)
78	186123	5, 79, 1217		k = = 6 mod 7 (7) k = = 10 mod 11 (11)	120 k's remaining at n=100K. See k's at Sierpinski Base 78 remain.	117079 (99186) 146623 (98607) 31738 (98568) 184622 (96429) 83107 (95785) 113423 (86660) 149783 (84567) 25281 (83932) 22344 (83678) 12325 (83516)	k = 78 and 6084 are GFn's with no known prime.
79	2212516	5, 7, 43, 6163		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 12 mod 13 (13)	6978 k's remaining at n>=50K. See k's and test limits at Sierpinski base 79 remain.	2626 (170700) 1654 (66839) 1755634 (49957) 1933566 (49954) 62886 (49902) 598776 (49898) 2115426 (49858) 1318392 (49854) 889062 (49817) 2212084 (49809)
80	1039	3, 7, 13, 43, 173		k = = 78 mod 79 (79)	86 (500K) 92 (500K) 166 (500K) 370 (500K) 393 (500K) 472 (500K) 556 (500K) 623 (500K) 692 (500K) 778 (500K) 818 (500K) 968 (500K)	628 (491322) 295 (404886) 326 (398799) 188 (142291) 433 (121106) 770 (107149) 857 (106007) 787 (48156) 1024 (46306) 233 (36917)
81	6068	7, 13, 73	All k=4q^4 for all n: let k=4q^4 and let m=q3^n; factors to: (2m^2 + 2m + 1) * (2*m^2 - 2m + 1)	k = = 1 mod 2 (2) k = = 4 mod 5 (5)	1650 (504K) 2036 (2.5M) 2350 (504K) 2976 (533K) 3440 (504K) 3566 (504K) 3702 (504K) 4016 (504K) 5946 (504K)	3072 (469325) 2378 (240056) 2182 (204681) 4730 (76088) 2950 (58681) 4470 (56874) 4810 (56535) 558 (51992) 1846 (32688) 5490 (30630)	k = 2500 proven composite by full algebraic factors.
82	19587	5, 7, 13, 37, 83		k = = 2 mod 3 (3)	55 k's remaining at n=100K. See k's at Sierpinski Base 82 remain.	5652 (96054) 7288 (94205) 5101 (88245) 5977 (85004) 9676 (84109) 17692 (82887) 17091 (82407) 19134 (82154) 18168 (71000) 19098 (69654)
83	8	3, 7		k = = 1 mod 2 (2) k = = 40 mod 41 (41)	none - proven	4 (5870) 6 (1) 2 (1)
84	16	5, 17		k = = 82 mod 83 (83)	none - proven	14 (47) 15 (6) 10 (5) 2 (4) 11 (2) 7 (2) 6 (2) 3 (2) 13 (1) 12 (1)
85	346334170	37, 43, 193, 2437		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7)	358422 k's remaining at n>=2.5K. To be shown later.	340278348 (10000) 310803528 (10000) 344056974 (9999) 340169688 (9999) 324601882 (9999) 320161146 (9998) 341994922 (9996) 335243590 (9996) 316360860 (9994) 314393598 (9994)
86	28	3, 29		k = = 4 mod 5 (5) k = = 16 mod 17 (17)	8 (1M)	6 (40) 17 (17) 7 (12) 27 (4) 25 (2) 22 (2) 21 (2) 13 (2) 10 (2) 3 (2)	k = 1 is a GFn with no known prime.
87	274	7, 11, 19, 31		k = = 1 mod 2 (2) k = = 42 mod 43 (43)	32 (1M)	34 (13654) 56 (2176) 12 (1214) 254 (1102) 150 (161) 198 (112) 8 (112) 166 (92) 252 (91) 100 (38)
88	4093	5, 7, 31, 37, 89		k = = 2 mod 3 (3) k = = 28 mod 29 (29)	244 (500K) 958 (500K) 1452 (500K) 1585 (500K) 1678 (500K) 2007 (500K)	2838 (348438) 1779 (335783) 192 (225546) 978 (198087) 3396 (146911) 2617 (139862) 3292 (39901) 1491 (31709) 2022 (31585) 2749 (30642)
89	4	3, 5		k = = 1 mod 2 (2) k = = 10 mod 11 (11)	none - proven	2 (1)
90	27	7, 13		k = = 88 mod 89 (89)	none - proven	14 (14) 8 (14) 22 (6) 19 (6) 5 (6) 16 (4) 12 (3) 23 (2) 21 (2) 15 (2)
91	89586	23, 41, 101		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	1678 (500K) 11706 (500K) 14236 (500K) 29970 (500K) 39492 (500K) 39582 (500K) 45058 (500K) 47080 (500K) 51036 (500K) 53742 (500K) 60466 (500K) 64792 (500K)	58582 (427818) 26472 (357645) 52600 (285235) 252 (219177) 23520 (205187) 12306 (194666) 49656 (144447) 65158 (128927) 6970 (103568) 46062 (95151)
92	32	3, 31		k = = 6 mod 7 (7) k = = 12 mod 13 (13)	none - proven	31 (416) 8 (109) 17 (59) 29 (47) 24 (38) 10 (24) 16 (12) 7 (6) 23 (5) 22 (4)	k = 1 is a GFn with no known prime.
93	24394	5, 47, 173		k = = 1 mod 2 (2) k = = 22 mod 23 (23)	70 k's remaining at n=100K. See k's at Sierpinski Base 93 remain.	12092 (97182) 1652 (96929) 9754 (73359) 15818 (68946) 7286 (68324) 8604 (66022) 19568 (62463) 18752 (60545) 14306 (58632) 18658 (57219)
94	39	5, 19		k = = 2 mod 3 (3) k = = 30 mod 31 (31)	none - proven	9 (263) 31 (54) 16 (26) 34 (19) 24 (7) 36 (4) 37 (3) 33 (3) 4 (3) 21 (2)
95	41354	3, 7, 13, 229		k = = 1 mod 2 (2) k = = 46 mod 47 (47)	365 k's remaining at n=100K. See k's at Sierpinski Base 95 remain.	35494 (96388) 18898 (95996) 38734 (94144) 22328 (93803) 11728 (93156) 4354 (92390) 14444 (92317) 2138 (91207) 23618 (90989) 12250 (89932)
96	353081	13, 97, 709		k = = 4 mod 5 (5) k = = 18 mod 19 (19)	387 k's remaining at n=100K. See k's at Sierpinski Base 96 remain.	298488 (99533) 251423 (98967) 171982 (97726) 303045 (96350) 196135 (94894) 337107 (94556) 299632 (94253) 126108 (94133) 319350 (93707) 227977 (93619)
97	15996	5, 7, 941		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	82 k's remaining at n=100K. See k's at Sierpinski Base 97 remain.	14230 (89409) 11668 (78153) 15436 (76224) 12018 (75277) 13714 (71410) 5088 (66905) 7972 (64231) 6756 (61420) 12888 (57402) 10128 (55229)
98	10	3, 11		k = = 96 mod 97 (97)	none - proven	4 (294) 8 (119) 6 (32) 7 (8) 3 (2) 9 (1) 5 (1) 2 (1)	k = 1 is a GFn with no known prime.
99	684	5, 13, 29		k = = 1 mod 2 (2) k = = 6 mod 7 (7)	none - proven	284 (48911) 464 (14551) 376 (2758) 294 (2439) 456 (1896) 452 (1497) 126 (590) 546 (456) 614 (313) 316 (198)
100	2469	7, 13, 37		k = = 2 mod 3 (3) k = = 10 mod 11 (11)	433 (1M) 922 (1M) 2145 (1M)	684 (563559) 64 (529397) 1269 (24225) 75 (16392) 591 (13007) 985 (11049) 2425 (5370) 1026 (4109) 594 (2932) 804 (2735)	k = 100 is a GFn with no known prime.
101	16	3, 17		k = = 1 mod 2 (2) k = = 4 mod 5 (5)	none - proven	2 (192275) 10 (1506) 12 (1) 8 (1) 6 (1)
102	293	7, 19, 79		k = = 100 mod 101 (101)	122 (400K) 178 (400K) 236 (400K)	46 (50451) 278 (10941) 94 (6421) 12 (2739) 73 (2040) 131 (1112) 202 (610) 56 (499) 48 (305) 271 (300)
103	13794	5, 13, 1061		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 16 mod 17 (17)	44 k's remaining at n=100K. See k's at Sierpinski Base 103 remain.	6694 (88879) 2944 (83517) 5598 (83136) 7944 (69106) 5290 (68543) 4666 (53415) 2934 (46883) 586 (39616) 12258 (37951) 13768 (30962)
104	4	3, 5		k = = 102 mod 103 (103)	none - proven	2 (1233) 3 (1)	k = 1 is a GFn with no known prime.
105	181632	37, 53, 149		k = = 1 mod 2 (2) k = = 12 mod 13 (13)	51 k's remaining at n=100K. See k's at Sierpinski Base 105 remain.	35562 (97725) 41890 (84065) 54854 (79861) 104888 (78110) 138596 (76698) 53582 (76673) 8510 (76498) 116334 (72325) 42870 (70202) 30252 (70108)
106	495090	17, 107, 661		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	184 k's remaining at n=100K. See k's at Sierpinski Base 106 remain.	258636 (99237) 172665 (97658) 430320 (96786) 88875 (95150) 242356 (93316) 395056 (89089) 292216 (88771) 48196 (86064) 106317 (85497) 255600 (84993)
107	122	3, 5, 229		k = = 1 mod 2 (2) k = = 52 mod 53 (53)	38 (1M) 68 (1M)	62 (219967) 94 (105926) 46 (94296) 4 (32586) 40 (4458) 114 (3477) 92 (2247) 76 (736) 70 (584) 56 (137)
108	26270	7, 13, 109, 127		k = = 106 mod 107 (107)	132 k's remaining at n=100K. See k's at Sierpinski Base 108 remain.	7612 (99261) 7304 (94930) 15874 (94153) 8034 (93577) 2874 (91402) 20666 (91335) 7631 (90728) 9187 (90213) 6759 (89530) 21101 (88027)	k=108 and 11664 are GFn's with no known prime.
109	34	5, 11		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	none - proven	28 (16) 4 (3) 18 (2) 16 (2) 12 (2) 6 (2) 30 (1) 24 (1) 22 (1) 10 (1)
110	38	3, 37		k = = 108 mod 109 (109)	none - proven	20 (933) 34 (356) 11 (161) 13 (124) 19 (66) 25 (58) 2 (51) 22 (42) 28 (12) 18 (11)	all-ks-sierp-base110.txt
111	24340	7, 61, 101		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 10 mod 11 (11)	526 (400K) 3646 (400K) 5230 (400K) 5998 (400K) 6992 (400K) 7260 (400K) 10200 (400K) 11530 (400K) 13630 (400K) 14958 (400K) 17970 (400K) 19200 (400K) 19298 (400K) 20532 (400K) 24242 (400K) 24296 (400K)	18922 (383954) 4990 (242169) 11628 (221902) 14526 (198094) 6656 (173037) 6966 (172910) 9920 (169700) 3340 (167092) 20922 (145003) 7246 (128084)
112	3502	5, 13, 113		k = = 2 mod 3 (3) k = = 36 mod 37 (37)	1696 (1M)	3303 (210284) 2757 (80039) 1780 (62794) 547 (8124) 1920 (5333) 2082 (5308) 3132 (3751) 1807 (3619) 1470 (3096) 1131 (2768)
113	94	3, 19		k = = 1 mod 2 (2) k = = 6 mod 7 (7)	none - proven	4 (2958) 46 (2732) 82 (616) 68 (375) 42 (213) 38 (71) 18 (47) 8 (47) 16 (40) 36 (35)
114	24	5, 23		k = = 112 mod 113 (113)	none - proven	12 (15) 3 (12) 22 (11) 11 (10) 9 (5) 16 (4) 23 (3) 19 (3) 15 (3) 10 (3)
115	49794	7, 13, 17, 29, 433		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 18 mod 19 (19)	32 k's remaining at n=100K. See k's at Sierpinski Base 115 remain.	47086 (83695) 19402 (74778) 44980 (65084) 36976 (60596) 47346 (49848) 30 (47376) 38832 (43260) 47356 (36091) 13426 (35863) 11068 (33692)
116	25	3, 13		k = = 4 mod 5 (5) k = = 22 mod 23 (23)	none - proven	12 (47) 20 (5) 10 (4) 7 (4) 23 (3) 5 (3) 16 (2) 13 (2) 6 (2) 21 (1)
117	2184	5, 37, 59		k = = 1 mod 2 (2) k = = 28 mod 29 (29)	1474 (1M)	58 (460033) 386 (287544) 1082 (235482) 2172 (180355) 1776 (141799) 1778 (68489) 884 (16717) 1276 (8565) 882 (7896) 1678 (6953)
118	69	7, 17		k = = 2 mod 3 (3) k = = 12 mod 13 (13)	48 (1M)	43 (106) 36 (96) 18 (80) 33 (67) 52 (48) 3 (46) 15 (22) 58 (11) 21 (7) 61 (5)
119	4	3, 5		k = = 1 mod 2 (2) k = = 58 mod 59 (59)	none - proven	2 (1)
121	360	7, 19, 37		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	none - proven	306 (960) 172 (96) 352 (86) 42 (60) 166 (57) 160 (53) 76 (44) 60 (31) 88 (27) 250 (21)
122	40	3, 41		k = = 10 mod 11 (11)	34 (1M)	37 (1622) 31 (1236) 16 (764) 2 (755) 25 (674) 23 (389) 17 (371) 4 (358) 5 (135) 28 (108)	k = 1 is a GFn with no known prime.
123	2138	5, 17, 31		k = = 1 mod 2 (2) k = = 60 mod 61 (61)	122 (400K) 404 (400K) 650 (400K) 1816 (400K) 1826 (400K) 1952 (400K)	1706 (339764) 166 (23517) 222 (21728) 94 (16302) 1172 (11889) 1520 (10146) 1868 (8507) 1024 (7098) 526 (6223) 1272 (4260)
125	8	3, 7		k = = 1 mod 2 (2) k = = 30 mod 31 (31)	none - proven	4 (2) 6 (1) 2 (1)
126	766700	13, 19, 127, 829		k = = 4 mod 5 (5)	1217 k's remaining at n=25K. See k's at Sierpinski Base 126 remain.	207250 (24988) 439292 (24955) 583385 (24932) 340961 (24891) 38705 (24871) 693735 (24829) 142776 (24809) 665688 (24666) 757192 (24606) 269233 (24597)	k = 15876 is a GFn with no known prime.
129	14	5, 13		k = = 1 mod 2 (2)	none - proven	6 (16796) 4 (19) 2 (6) 12 (1) 10 (1) 8 (1)
130	1021537	7, 31, 131, 541		k = = 2 mod 3 (3) k = = 42 mod 43 (43)	1572 k's remaining at n=25K. See k's at Sierpinski Base 130 remain.	907203 (24984) 639295 (24904) 160212 (24889) 317236 (24886) 896167 (24839) 46542 (24839) 172609 (24708) 521769 (24660) 800425 (24648) 335919 (24634)	k = 16900 is a GFn with no known prime.
131	10	3, 11		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 12 mod 13 (13)	none - proven	8 (1) 6 (1) 2 (1)
132	13	5, 7, 17		k = = 130 mod 131 (131)	none - proven	6 (5) 7 (3) 12 (2) 9 (2) 8 (2) 4 (2) 2 (2) 11 (1) 10 (1) 5 (1)
133	1944	5, 29, 67		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 10 mod 11 (11)	88 (300K) 1138 (300K) 1336 (300K)	220 (4172) 672 (3929) 180 (2758) 336 (1736) 1122 (1520) 1876 (1488) 1114 (1474) 1158 (1427) 114 (1114) 474 (455)
134	4	3, 5		k = = 6 mod 7 (7) k = = 18 mod 19 (19)	none - proven	3 (4) 2 (1)
135	1112	7, 43, 61		k = = 1 mod 2 (2) k = = 66 mod 67 (67)	222 (400K) 734 (400K) 766 (400K) 1106 (400K)	304 (114227) 80 (47646) 832 (40885) 868 (26204) 50 (4875) 964 (3007) 118 (2747) 460 (1608) 1084 (1328) 278 (1284)
136	90693	7, 43, 61, 137		k = = 2 mod 3 (3) k = = 4 mod 5 (5)	58 k's remaining at n=100K. See k's at Sierpinski Base 136 remain.	52681 (98043) 14797 (96356) 10183 (93483) 42913 (92663) 36052 (90860) 71902 (86837) 89793 (78866) 11425 (78018) 4528 (77633) 54271 (70410)	k = 136 and 18496 are GFn's with no known prime.
137	22	3, 23		k = = 1 mod 2 (2) k = = 16 mod 17 (17)	none - proven	2 (327) 10 (102) 14 (93) 4 (18) 12 (3) 20 (1) 18 (1) 8 (1) 6 (1)
138	2781	5, 13, 139		k = = 136 mod 137 (137)	211 (500K) 344 (500K) 678 (500K) 1188 (500K) 1444 (500K) 1494 (500K) 1818 (500K) 2371 (500K) 2627 (500K)	2636 (469911) 2189 (345010) 2354 (314727) 1019 (274533) 1789 (271671) 141 (244616) 2416 (214921) 866 (212835) 2062 (192750) 47 (136218)	k = 138 is a GFn with no known prime.
139	6	5, 7		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 22 mod 23 (23)	none - proven	4 (1)
140	46	3, 47		k = = 138 mod 139 (139)	8 (1M)	16 (251178) 34 (136) 29 (103) 38 (79) 13 (64) 28 (44) 11 (37) 44 (31) 10 (24) 14 (23)
141	129697332	13, 19, 71, 1039, 4201		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	283945 k's remaining at n=2.5K. To be shown later.	129423588 (2500) 128781292 (2500) 123868692 (2500) 122492042 (2500) 120910090 (2500) 120890778 (2500) 120342712 (2500) 120340292 (2500) 116209530 (2500) 112200232 (2500)
142	12	11, 13		k = = 2 mod 3 (3) k = = 46 mod 47 (47)	none - proven	10 (407) 7 (23) 3 (2) 9 (1) 6 (1) 4 (1)
143	7628	3, 5, 409		k = = 1 mod 2 (2) k = = 70 mod 71 (71)	117 k's remaining at n=100K. See k's at Sierpinski Base 143 remain.	5840 (97373) 1396 (91188) 4954 (89862) 3878 (89327) 5662 (88798) 5410 (88240) 6064 (88138) 7568 (78631) 2386 (78380) 6520 (76102)
144	59	5, 29		k = = 10 mod 11 (11) k = = 12 mod 13 (13)	none - proven	34 (3061) 37 (1154) 6 (782) 31 (102) 55 (88) 30 (72) 35 (42) 17 (39) 46 (16) 40 (15)	k = 1 is a GFn with no known prime.
145	430482	7, 19, 73, 157		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	264 k's remaining at n=100K. See k's at Sierpinski Base 145 remain.	331056 (99382) 235308 (99155) 17098 (97461) 262782 (96171) 135346 (95557) 257472 (94968) 366096 (94770) 84024 (93402) 328878 (93201) 204180 (92711)
146	8	3, 7		k = = 4 mod 5 (5) k = = 28 mod 29 (29)	none - proven	5 (3) 7 (2) 6 (1) 3 (1) 2 (1)
147	17946	5, 37, 97, 137		k = = 1 mod 2 (2) k = = 72 mod 73 (73)	37 k's remaining at n=100K. See k's at Sierpinski Base 147 remain.	8818 (99720) 15726 (87760) 5884 (80094) 9478 (75558) 976 (72664) 10306 (66309) 9878 (65829) 4772 (64147) 3442 (57146) 6992 (52487)
148	4471	5, 13, 149		k = = 2 mod 3 (3) k = = 6 mod 7 (7)	2361 (1M)	802 (114769) 3193 (104224) 4336 (103383) 2548 (85454) 876 (64416) 684 (31329) 1638 (18523) 3708 (15935) 4165 (15920) 3225 (15617)	k = 148 is a GFn with no known prime.
149	4	3, 5		k = = 1 mod 2 (2) k = = 36 mod 37 (37)	none - proven	2 (3)
150	49074	7, 31, 103, 151		k = = 148 mod 149 (149)	69 k's remaining at n=100K. See k's at Sierpinski Base 150 remain.	2529 (95448) 25295 (93740) 43789 (91123) 30505 (91058) 15402 (88775) 610 (87338) 41663 (83930) 22810 (81558) 26349 (75650) 22237 (72247)
151	83316	13, 19, 877		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	92 k's remaining at n=200K. See k's at Sierpinski Base 151 remain.	83110 (184411) 81112 (179764) 48166 (174188) 71422 (162094) 1728 (155323) 53676 (153270) 74476 (149055) 43438 (141982) 26580 (124195) 22602 (122888)
152	16	3, 17		k = = 150 mod 151 (151)	none - proven	11 (837) 6 (27) 4 (18) 13 (8) 9 (7) 12 (4) 2 (3) 10 (2) 7 (2) 15 (1)
153	34	7, 11		k = = 1 mod 2 (2) k = = 18 mod 19 (19)	none - proven	32 (33) 16 (9) 22 (6) 26 (3) 28 (2) 12 (2) 8 (2) 30 (1) 24 (1) 20 (1)
154	61	5, 31		k = = 2 mod 3 (3) k = = 16 mod 17 (17)	none - proven	40 (9256) 36 (138) 31 (88) 37 (79) 43 (15) 9 (15) 21 (4) 55 (3) 28 (3) 51 (2)
155	14	3, 13		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 10 mod 11 (11)	4 (1.7M)	8 (5) 12 (1) 2 (1)
157	1344	5, 17, 79		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 12 mod 13 (13)	1174 (1M) 1228 (1M)	684 (375674) 78 (15433) 1072 (15383) 1186 (11196) 898 (10569) 222 (4187) 18 (3873) 1242 (1819) 394 (929) 706 (761)
158	52	3, 53		k = = 156 mod 157 (157)	none - proven	8 (123475) 48 (24191) 32 (13401) 38 (10519) 27 (4966) 20 (1633) 37 (1034) 4 (874) 43 (178) 47 (141)
159	36	5, 13, 37, 97		k = = 1 mod 2 (2) k = = 78 mod 79 (79)	none - proven	12 (121) 4 (29) 24 (9) 26 (6) 8 (5) 18 (4) 14 (3) 10 (3) 2 (3) 32 (2)
160	22	7, 23		k = = 2 mod 3 (3) k = = 52 mod 53 (53)	none - proven	18 (27) 16 (4) 9 (4) 7 (4) 6 (3) 15 (2) 12 (2) 3 (2) 21 (1) 19 (1)
161	1760	3, 13, 17, 41		k = = 1 mod 2 (2) k = = 4 mod 5 (5)	122 (300K) 560 (300K) 632 (300K) 892 (300K) 1228 (300K) 1600 (300K)	1682 (261371) 1328 (99591) 898 (94352) 1256 (56609) 1178 (48001) 350 (42125) 512 (41767) 1586 (19361) 1526 (12903) 1702 (12482)
162	6193	5, 13, 37, 61, 163		k = = 6 mod 7 (7) k = = 22 mod 23 (23)	1248 (300K) 1438 (300K) 2609 (300K) 3096 (300K) 4831 (300K) 5706 (300K) 5869 (300K)	6102 (230090) 2212 (227663) 3052 (200790) 1764 (76926) 3496 (60128) 1250 (58127) 933 (55381) 2163 (49760) 2377 (47102) 1398 (33797)
163	4192	7, 19, 67		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	12 (500K) 94 (500K) 1188 (500K) 1242 (500K) 1272 (500K) 1986 (500K) 2008 (500K) 2298 (500K) 2362 (500K) 2656 (500K) 2712 (500K) 3552 (500K) 3648 (500K)	3286 (135773) 3660 (132815) 66 (107651) 2442 (104888) 1224 (33589) 2820 (29308) 1774 (28413) 216 (28267) 3856 (21892) 4060 (19818)
164	4	3, 5		k = = 162 mod 163 (163)	none - proven	3 (4) 2 (3)
165	2974	7, 13, 43		k = = 1 mod 2 (2) k = = 40 mod 41 (41)	1252 (300K) 1486 (300K) 1798 (300K)	194 (196199) 1154 (82091) 500 (55335) 550 (39769) 1104 (32462) 1426 (32448) 220 (27349) 1742 (27091) 2792 (26111) 2846 (18005)
166	140947	7, 13, 43, 167		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 10 mod 11 (11)	85 k's remaining at n=100K. See k's at Sierpinski Base 166 remain.	66558 (98155) 136200 (88570) 75156 (82754) 125121 (82419) 58225 (77829) 136560 (76666) 36240 (74390) 79845 (72275) 99792 (68181) 49372 (68028)	k = 166 and 27556 are GFn's with no known prime.
167	8	3, 7		k = = 1 mod 2 (2) k = = 82 mod 83 (83)	none - proven	2 (6547) 6 (25) 4 (10)
168	9244	5, 13, 17, 73		k = = 166 mod 167 (167)	70 k's remaining at n=100K. See k's at Sierpinski Base 168 remain.	1561 (97864) 1398 (80456) 5942 (77280) 4432 (73477) 8072 (68617) 7188 (62211) 3394 (55546) 2614 (54002) 7240 (50425) 6892 (48868)	k = 1 and 168 are GFn's with no known prime.
169	16	5, 17		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7)	none - proven	10 (2) 12 (1) 4 (1)
170	20	3, 19		k = = 12 mod 13 (13)	none - proven	7 (178) 5 (175) 19 (36) 17 (21) 13 (4) 3 (3) 2 (3) 16 (2) 10 (2) 4 (2)
171	18790	7, 13, 37, 43, 67		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 16 mod 17 (17)	988 (300K) 1420 (300K) 3998 (300K) 4448 (300K) 9418 (300K) 10356 (300K) 10708 (300K) 11826 (300K) 13290 (300K) 13698 (300K) 13716 (300K)	8300 (472170) 10020 (274566) 13460 (241448) 30 (229506) 8986 (162913) 17852 (130704) 8046 (122785) 18448 (85558) 17606 (62387) 14940 (59132)
172	108	7, 13, 109		k = = 2 mod 3 (3) k = = 18 mod 19 (19)	none - proven	73 (1701) 96 (669) 52 (259) 22 (108) 79 (79) 54 (35) 51 (35) 48 (26) 40 (23) 19 (15)
173	28	3, 29		k = = 1 mod 2 (2) k = = 42 mod 43 (43)	none - proven	10 (264234) 8 (323) 26 (23) 4 (10) 16 (8) 22 (4) 12 (4) 18 (2) 24 (1) 20 (1)
174	6	5, 7		k = = 172 mod 173 (173)	4 (1M)	5 (2) 3 (1) 2 (1)
176	58	3, 59		k = = 4 mod 5 (5) k = = 6 mod 7 (7)	none - proven	32 (3591) 37 (3088) 35 (995) 50 (213) 10 (146) 28 (24) 46 (16) 31 (14) 57 (12) 7 (12)
177	3648	5, 13, 89		k = = 1 mod 2 (2) k = = 10 mod 11 (11)	446 (500K) 558 (500K) 1074 (500K) 1158 (500K) 1622 (500K) 1868 (500K) 2226 (500K) 2250 (500K) 2758 (500K) 3292 (500K)	1126 (391360) 1536 (347600) 2152 (270059) 1338 (183598) 2036 (182624) 622 (111511) 242 (83855) 1762 (79972) 2798 (78238) 2692 (71820)
178	1585	13, 19, 43		k = = 2 mod 3 (3) k = = 58 mod 59 (59)	126 (300K) 357 (300K) 480 (300K) 550 (300K) 639 (300K) 688 (300K) 730 (300K) 844 (300K) 859 (300K) 867 (300K) 1461 (300K)	136 (147501) 582 (146568) 576 (109608) 283 (81663) 372 (42160) 96 (41696) 474 (28627) 610 (28243) 1383 (24207) 768 (12906)	k = 178 is a GFn with no known prime.
179	4	3, 5		k = = 1 mod 2 (2) k = = 88 mod 89 (89)	none - proven	2 (1)
180	1679679	7, 31, 181, 1051		k = = 178 mod 179 (179)	11748 k's remaining at n=10K. See k's at Sierpinski Base 180 remain.	445633 (10000) 56291 (9999) 835414 (9998) 223612 (9998) 1554393 (9996) 65664 (9994) 811059 (9988) 607956 (9988) 251990 (9983) 758834 (9982)
181	118	7, 13		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	none - proven	78 (56) 66 (48) 28 (40) 90 (17) 88 (13) 106 (10) 112 (9) 100 (8) 40 (6) 36 (4)
182	23	3, 5, 53		k = = 180 mod 181 (181)	8 (1M)	9 (263) 19 (90) 4 (70) 2 (15) 13 (12) 20 (5) 18 (4) 16 (4) 7 (4) 17 (3)	k = 1 is a GFn with no known prime.
183	1036	5, 17, 23		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 12 mod 13 (13)	none - proven	866 (262883) 392 (26836) 548 (2436) 344 (793) 758 (699) 786 (516) 212 (489) 500 (315) 24 (298) 856 (276)
184	36	5, 37		k = = 2 mod 3 (3) k = = 60 mod 61 (61)	none - proven	16 (298) 6 (40) 4 (29) 3 (11) 12 (10) 10 (9) 24 (3) 19 (3) 15 (3) 31 (2)
185	32	3, 31		k = = 1 mod 2 (2) k = = 22 mod 23 (23)	10 (1M)	4 (414) 6 (170) 28 (102) 30 (5) 26 (5) 2 (3) 16 (2) 24 (1) 20 (1) 18 (1)
186	67	11, 17		k = = 4 mod 5 (5) k = = 36 mod 37 (37)	none - proven	65 (18879) 56 (300) 35 (134) 16 (107) 40 (98) 52 (72) 45 (58) 50 (25) 3 (12) 41 (11)	k = 1 is a GFn with no known prime.
187	798	5, 13, 47		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 30 mod 31 (31)	none - proven	486 (212627) 328 (63925) 742 (24856) 502 (12082) 430 (907) 544 (609) 642 (515) 282 (343) 684 (297) 720 (268)
188	8	3, 7		k = = 10 mod 11 (11) k = = 16 mod 17 (17)	none - proven	4 (26) 2 (9) 7 (2) 3 (2) 6 (1) 5 (1)
189	56	5, 19		k = = 1 mod 2 (2) k = = 46 mod 47 (47)	none - proven	18 (171175) 36 (44) 16 (42) 20 (36) 54 (35) 6 (34) 24 (15) 50 (9) 28 (9) 30 (7)
190	3146151	13, 191, 2777		k = = 2 mod 3 (3) k = = 6 mod 7 (7)	4749 k's remaining at n=10K. See k's at Sierpinski Base 190 remain.	2743963 (9999) 1034733 (9999) 3114759 (9998) 2853439 (9998) 776442 (9998) 2843040 (9996) 2709387 (9989) 2692249 (9988) 1612521 (9984) 245298 (9980)
191	302	3, 17, 37		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 18 mod 19 (19)	52 (300K) 68 (300K) 172 (300K)	178 (52494) 150 (44271) 292 (10014) 48 (4936) 28 (4490) 38 (4043) 130 (4008) 238 (3138) 248 (1619) 10 (1314)
192	7879	5, 7, 13, 31, 101		k = = 190 mod 191 (191)	56 k's remaining at n=100K. See k's at Sierpinski Base 192 remain.	1122 (89238) 5594 (86270) 5675 (74618) 3473 (69049) 4566 (67168) 2829 (63997) 6878 (60430) 5375 (54124) 6898 (52349) 7586 (49923)	k = 192 is a GFn with no known prime.
193	14454	5, 97, 149		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	39 k's remaining at n=100K. See k's at Sierpinski Base 193 remain.	5182 (99278) 11758 (98298) 12172 (98288) 2062 (81308) 3874 (79825) 9112 (75416) 12846 (70045) 9166 (67795) 6642 (66646) 6796 (65716)
194	4	3, 5		k = = 192 mod 193 (193)	none - proven	3 (2) 2 (1)
196	2730222	41, 197, 937		k = = 2 mod 3 (3) k = = 5 mod 5 (5) k = = 12 mod 13 (13)	2518 k's remaining at n=25K. See k's at Sierpinski Base 196 remain.	2024692 (24964) 755131 (24950) 2575696 (24928) 831511 (24921) 645081 (24908) 1023205 (24896) 890665 (24845) 1893760 (24835) 2089113 (24831) 748560 (24814)	k = 196 and 38416 are GFn's with no known prime.
197	10	3, 11		k = = 1 mod 2 (2) k = = 6 mod 7 (7)	none - proven	4 (6) 8 (5) 2 (3)
198	4105	7, 13, 19, 2053		k = = 196 mod 197 (197)	36 k's remaining at n=100K. See k's at Sierpinski Base 198 remain.	1074 (86150) 2976 (78439) 4014 (73851) 2864 (62462) 2084 (56478) 706 (55247) 2253 (54740) 621 (53839) 3962 (49750) 758 (47832)
199	13224	5, 7, 13, 433		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 10 mod 11 (11)	41 k's remaining at n=100K. See k's at Sierpinski Base 199 remain.	5626 (99962) 1096 (96048) 2176 (95974) 8154 (82511) 4866 (77902) 11476 (73026) 2358 (64862) 9634 (57503) 10876 (56846) 96 (54582)
200	47	3, 13, 17	k=16: odd n: factor of 3 n = = 0 mod 4: factor of 17 n = = 2 mod 4: let n = 4q - 2 and let m = 20^q10^(q-1); factors to: (2m^2 + 2m + 1) (2*m^2 - 2m + 1)	k = = 198 mod 199 (199)	40 (1M)	25 (21874) 10 (6036) 13 (1858) 38 (1669) 26 (1011) 5 (767) 34 (710) 19 (528) 46 (226) 43 (124)	k = 1 is a GFn with no known prime.
201	4613782	7, 19, 101, 2137		k = = 1 mod 2 (2) k = = 4 mod 5 (5)	29202 k's remaining at n=2.5K. To be shown later.	3299008 (2500) 1774450 (2500) 1419250 (2500) 1391226 (2500) 581390 (2500) 42642 (2500) 1716392 (2499) 1589032 (2499) 992568 (2499) 731790 (2499)
202	57	7, 29		k = = 2 mod 3 (3) k = = 66 mod 67 (67)	none - proven	27 (17723) 36 (1268) 24 (453) 19 (158) 9 (30) 12 (22) 13 (21) 43 (18) 49 (10) 22 (10) 16 (7)	k = 1 is a GFn with no known prime.
203	16	3, 17		k = = 1 mod 2 (2) k = = 100 mod 101 (101)	none - proven	10 (2956) 2 (105) 8 (7) 6 (3) 4 (2) 14 (1) 12 (1)
204	81	5, 41		k = = 6 mod 7 (7) k = = 28 mod 29 (29)	4 (1M)	21 (6096) 12 (4586) 54 (159) 79 (145) 8 (79) 56 (52) 11 (50) 74 (39) 29 (27) 64 (25)
205	138330	7, 13, 103, 3217		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 16 mod 17 (17)	76 k's remaining at n=100K. See k's at Sierpinski Base 205 remain.	84412 (90949) 36154 (88060) 31002 (86633) 9064 (81140) 48460 (80884) 16294 (80850) 122860 (78381) 130914 (77588) 106378 (76573) 57522 (74097)
206	22	3, 23		k = = 4 mod 5 (5) k = = 40 mod 41 (41)	none - proven	2 (46205) 16 (860) 8 (13) 20 (5) 17 (5) 13 (4) 10 (4) 7 (4) 15 (2) 21 (1)
207	9426	5, 13, 857		k = = 1 mod 2 (2) k = = 102 mod 103 (103)	74 k's remaining at n=100K. See k's at Sierpinski Base 207 remain.	4252 (95004) 4718 (93969) 2742 (84791) 976 (77008) 6278 (75593) 8854 (75514) 6956 (74720) 3782 (70879) 3576 (64880) 532 (58927)
208	153	11, 19		k = = 2 mod 3 (3) k = = 22 mod 23 (23)	none - proven	88 (130796) 96 (5836) 73 (3546) 111 (1120) 13 (142) 120 (121) 54 (83) 7 (69) 37 (33) 106 (31)
209	4	3, 5		k = = 1 mod 2 (2) k = = 12 mod 13 (13)	none - proven	2 (1)
211	20238	13, 31, 37		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	1962 (300K) 3130 (300K) 5152 (300K) 5248 (300K) 6942 (300K) 7686 (300K) 11820 (300K) 13732 (300K) 14778 (300K) 15318 (300K) 15636 (300K) 16026 (300K) 18420 (300K)	5758 (244970) 13212 (162393) 9906 (72179) 10440 (44039) 16600 (42863) 7050 (38592) 18750 (37130) 20212 (35583) 3378 (31594) 17250 (29927)
212	70	3, 71		k = = 210 mod 211 (211)	4 (1.0058M) 6 (500K) 64 (1M) 68 (500K)	56 (88905) 38 (81053) 62 (48955) 47 (6187) 27 (3082) 49 (734) 32 (547) 40 (382) 46 (216) 51 (119)	k = 1 is a GFn with no known prime.
213	4174	5, 13, 107		k = = 1 mod 2 (2) k = = 52 mod 53 (53)	164 (300K) 1052 (300K) 1604 (300K) 1794 (300K) 1906 (300K) 2142 (300K) 2848 (300K) 2956 (300K) 3372 (300K) 3396 (300K) 3518 (300K) 3838 (300K) 4156 (300K) 4166 (300K)	1806 (229825) 1586 (214993) 3814 (175867) 2890 (167162) 1026 (151285) 2032 (140757) 1962 (112173) 3602 (85261) 2984 (74663) 710 (69185)
214	171	5, 43		k = = 2 mod 3 (3) k = = 70 mod 71 (71)	87 (500K) 106 (500K)	39 (42495) 24 (33015) 31 (13468) 34 (12217) 19 (5711) 76 (2242) 129 (835) 159 (125) 63 (59) 54 (53)	k = 1 is a GFn with no known prime.
215	19924	3, 29, 797		k = = 1 mod 2 (2) k = = 106 mod 107 (107)	304 k's remaining at n=100K. See k's at Sierpinski Base 215 remain.	15482 (99473) 14356 (98992) 2642 (94327) 11798 (84763) 11978 (82309) 15632 (80503) 16876 (78514) 8474 (78239) 8948 (77815) 19700 (75163)
216	92	7, 31	All k = m^3 for all n; factors to: (m6^n + 1) (m^236^n - m6^n + 1)	k = = 4 mod 5 (5) k = = 42 mod 43 (43)	none - proven	50 (306) 43 (112) 5 (49) 67 (43) 66 (35) 47 (34) 20 (33) 41 (31) 68 (16) 78 (14)	k = 1, 8, and 27 proven composite by full algebraic factors. k = 36 is a GFn with no known prime.
217	1854	5, 17, 109		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	1356 (600K)	1278 (57970) 1546 (26135) 834 (14519) 778 (14176) 558 (5669) 576 (4648) 1048 (3806) 744 (2955) 762 (1931) 844 (1441)
218	74	3, 73		k = = 6 mod 7 (7) k = = 30 mod 31 (31)	17 (1M)	2 (333925) 50 (11339) 70 (9538) 49 (6766) 59 (3669) 46 (560) 38 (443) 52 (396) 72 (289) 73 (282)	k = 1 is a GFn with no known prime.
219	34	5, 11		k = = 1 mod 2 (2) k = = 108 mod 109 (109)	none - proven	12 (29230) 16 (106) 32 (13) 26 (6) 10 (5) 20 (4) 6 (4) 24 (3) 22 (2) 30 (1)
220	103	13, 17		k = = 2 mod 3 (3) k = = 72 mod 73 (73)	none - proven	27 (205486) 79 (132) 88 (36) 7 (25) 58 (18) 66 (16) 51 (15) 33 (13) 28 (13) 31 (12)
221	38	3, 37		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 10 mod 11 (11)	none - proven	28 (80) 18 (21) 36 (11) 22 (6) 8 (5) 16 (4) 26 (3) 12 (3) 30 (2) 20 (1)
222	389359	7, 31, 43, 223		k = = 12 mod 13 (13) k = = 16 mod 17 (17)	1235 k's remaining at n=100K. See k's at Sierpinski Base 222 remain.	321791 (99908) 234897 (98884) 92406 (98431) 45939 (97926) 311434 (97755) 230201 (97635) 171877 (97623) 117924 (97501) 297037 (97048) 300607 (96895)	k = 222 and 49284 are GFn's with no known prime.
223	57814	5, 7, 13, 31, 61		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 36 mod 37 (37)	529 k's remaining at n=30K. See k's at Sierpinski Base 223 remain.	48126 (29852) 11964 (29642) 38256 (29340) 35176 (29268) 40512 (29192) 19594 (28690) 8632 (27960) 8458 (27919) 45396 (27896) 14134 (27682)
224	4	3, 5		k = = 222 mod 223 (223)	none - proven	3 (1) 2 (1)
225	117406	17, 113, 1489	k=114244: for even n let k=4q^4 and let m=q15^(n/2); factors to: (2m^2 + 2m + 1) (2*m^2 - 2m + 1) odd n: factor of 113	k = = 1 mod 2 (2) k = = 6 mod 7 (7)	80 k's remaining at n=100K. See k's at Sierpinski Base 225 remain.	42156 (96360) 6598 (94326) 74940 (91226) 21364 (90399) 67914 (89558) 73228 (89023) 84184 (85983) 58884 (85226) 116214 (84861) 57204 (82597)
226	1547460	7, 211, 227, 241		k = = 2 mod 3 (3) k = = 4 mod 5 (5)	14985 k's remaining at n=2.5K. To be shown later.	1367716 (2499) 1140963 (2499) 420523 (2499) 1516717 (2498) 1118088 (2498) 999421 (2498) 730162 (2498) 492097 (2498) 318135 (2498) 824910 (2497)	k = 226 and 51076 are GFn's with no known prime.
227	20	3, 19		k = = 1 mod 2 (2) k = = 112 mod 113 (113)	18 (1M)	4 (13346) 16 (1156) 10 (84) 6 (20) 8 (5) 14 (3) 2 (3) 12 (2)
228	1146	5, 37, 229		k = = 226 mod 227 (227)	327 (500K) 915 (500K)	188 (374503) 196 (156032) 292 (50916) 586 (32685) 754 (27026) 223 (23944) 1063 (23822) 1047 (14536) 727 (8617) 469 (6070)
229	24	5, 23		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 18 mod 19 (19)	none - proven	6 (308) 4 (21) 16 (6) 10 (2) 22 (1) 12 (1)
230	8	3, 7		k = = 228 mod 229 (229)	4 (1M)	7 (6) 6 (1) 5 (1) 3 (1) 2 (1)
231	251748	13, 29, 61, 67		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 22 mod 23 (23)	95 k's remaining at n=100K. See k's at Sierpinski Base 231 remain.	56058 (97376) 14702 (95801) 123512 (91534) 3798 (90267) 139868 (90022) 16618 (89804) 244616 (88082) 168546 (87682) 225328 (84550) 17430 (82482)
232	447592	5, 233, 2153		k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 10 mod 11 (11)	807 k's remaining at n=25K. See k's at Sierpinski Base 232 remain.	223813 (24865) 48352 (24751) 202512 (24747) 82524 (24614) 181963 (24596) 287908 (24585) 124188 (24317) 355863 (24314) 319662 (24299) 65376 (24253)	k = 232 and 53824 are GFn's with no known prime.
233	14	3, 13		k = = 1 mod 2 (2) k = = 28 mod 29 (29)	none - proven	8 (35) 10 (2) 4 (2) 12 (1) 6 (1) 4 (1)
234	46	5, 47		k = = 232 mod 233 (233)	none - proven	24 (2415) 14 (547) 37 (71) 41 (58) 29 (53) 18 (28) 34 (25) 36 (20) 43 (17) 44 (9)
235	15706	7, 19, 139		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 12 mod 13 (13)	27 k's remaining at n=100K. See k's at Sierpinski Base 235 remain.	12592 (77810) 6744 (76960) 14458 (70234) 10914 (68925) 10044 (47812) 7080 (36163) 6786 (35662) 4660 (33837) 1984 (24582) 6432 (24278)
236	80	3, 79		k = = 4 mod 5 (5) k = = 46 mod 47 (47)	53 (500K) 67 (500K)	32 (251993) 2 (161229) 22 (116792) 68 (5413) 26 (2757) 30 (2360) 10 (2046) 70 (894) 7 (346) 55 (310)
237	50	7, 17		k = = 1 mod 2 (2) k = = 58 mod 59 (59)	none - proven	12 (206) 36 (204) 32 (67) 18 (16) 42 (15) 22 (10) 40 (9) 20 (7) 48 (5) 30 (2)
238	5613633	13, 67, 239, 283		k = = 2 mod 3 (3) k = = 78 mod 79 (79)	58571 k's remaining at n=2.5K. To be shown later.	5518566 (2500) 4320762 (2500) 4296496 (2500) 3282811 (2500) 3184848 (2500) 3097012 (2500) 2634282 (2500) 773182 (2500) 5214648 (2499) 4398513 (2499)
239	4	3, 5		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 16 mod 17 (17)	none - proven	2 (1)
240	1722187	7, 13, 19, 241, 397		k = = 238 mod 239 (239)	32558 k's remaining at n=2.5K. To be shown later.	1657542 (2500) 1649534 (2500) 1574922 (2500) 1435649 (2500) 1254944 (2500) 665530 (2500) 653805 (2500) 603260 (2500) 537682 (2500) 353061 (2500)
241	636076	11, 113, 257		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	1815 k's remaining at n=25K. See k's at Sierpinski Base 241 remain.	99406 (24863) 109636 (24843) 165892 (24668) 181996 (24606) 538462 (24584) 157420 (24505) 80488 (24504) 362832 (24479) 402346 (24475) 340000 (24474)
242	8	3, 5, 13		k = = 240 mod 241 (241)	none - proven	4 (4206) 5 (45) 2 (11) 7 (6) 6 (1) 3 (1)
243	40078	7, 13, 31, 61	All k = m^5 for all n; factors to: (m3^n + 1) (m^481^n - m^327^n + m^29^n - m3^n + 1)	k = = 1 mod 2 (2) k = = 10 mod 11 (11)	97 k's remaining at n=400K. See k's at Sierpinski Base 243 remain.	38804 (382795) 34202 (381760) 32582 (380358) 24704 (375427) 14804 (355706) 27602 (351918) 38490 (341891) 33016 (339396) 14336 (312792) 11996 (311879)	k = 1024 proven composite by full algebraic factors.
244	6	5, 7		k = = 2 mod 3 (3)	none - proven	4 (1) 3 (1)	k = 1 is a GFn with no known prime.
245	40	3, 41		k = = 1 mod 2 (2) k = = 60 mod 61 (61)	none - proven	22 (316) 16 (46) 8 (23) 14 (15) 28 (4) 10 (4) 26 (3) 20 (3) 34 (2) 18 (2)
246	77	13, 19		k = = 4 mod 5 (5) k = = 6 mod 7 (7)	none - proven	61 (104) 40 (56) 30 (37) 35 (30) 18 (27) 53 (12) 57 (11) 67 (9) 58 (6) 56 (5)	k = 1 is a GFn with no known prime.
247	71392	5, 17, 31, 1009		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 40 mod 41 (41)	171 k's remaining at n=100K. See k's at Sierpinski Base 247 remain.	36214 (97283) 37912 (89307) 10170 (87505) 51180 (86529) 41782 (86063) 51238 (85245) 38034 (84975) 61914 (81638) 70648 (80317) 49530 (79014)
248	82	3, 83		k = = 12 mod 13 (13) k = = 18 mod 19 (19)	16 (500K) 23 (500K) 31 (500K) 73 (500K)	53 (368775) 9 (39510) 34 (9494) 61 (1232) 65 (609) 57 (605) 2 (321) 5 (261) 20 (227) 67 (56)
249	824	5, 7, 13, 29, 37		k = = 1 mod 2 (2) k = = 30 mod 31 (31)	436 (500K) 684 (500K) 706 (500K)	674 (365445) 656 (348030) 202 (299162) 704 (137167) 394 (123679) 754 (54387) 286 (52498) 136 (40974) 546 (30876) 454 (17413)
250	5496397	7, 13, 19, 37, 251, 1009		k = = 2 mod 3 (3) k = = 82 mod 83 (83)	61066 k's remaining at n=2.5K. To be shown later.	5355138 (2500) 4734378 (2500) 4273203 (2500) 4176898 (2500) 3211522 (2500) 2789884 (2500) 2780374 (2500) 1553304 (2500) 542359 (2500) 5231307 (2499)	k = 62500 is a GFn with no known prime.
251	8	3, 7		k = = 1 mod 2 (2) k = = 4 mod 5 (5)	none - proven	6 (17) 2 (1)
252	45	11, 23		k = = 250 mod 251 (251)	27 (600K)	31 (124) 40 (96) 44 (14) 42 (10) 21 (9) 22 (7) 6 (7) 34 (6) 20 (5) 16 (4)	k = 1 is a GFn with no known prime.
253	25018	5, 37, 127		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7)	9096 (300K) 9436 (300K) 11488 (300K) 11746 (300K) 15118 (300K) 17818 (300K) 19684 (300K) 21208 (300K) 23748 (300K) 24262 (300K)	9678 (188400) 3874 (165449) 21484 (144437) 18604 (128933) 2188 (112983) 23404 (95194) 13284 (91465) 2566 (62820) 2502 (59748) 13666 (58159)
254	4	3, 5		k = = 10 mod 11 (11) k = = 22 mod 23 (23)	none - proven	3 (2) 2 (1)
255	110094	7, 19, 41, 61, 97		k = = 1 mod 2 (2) k = = 126 mod 127 (127)	156 k's remaining at n=100K. See k's at Sierpinski Base 255 remain.	97284 (99554) 53782 (99272) 53990 (89792) 100164 (82757) 35986 (80599) 80590 (80127) 27266 (80029) 107862 (79096) 109240 (77772) 87524 (77280)
257	44	3, 43		k = = 1 mod 2 (2)	40 (600K)	4 (160422) 34 (33062) 2 (12183) 16 (684) 32 (531) 8 (29) 10 (12) 18 (8) 26 (7) 22 (6)
258	36	7, 37		k = = 256 mod 257 (257)	none - proven	24 (5745) 29 (1038) 18 (316) 15 (128) 20 (79) 9 (59) 23 (54) 22 (40) 28 (20) 7 (20)	k = 1 is a GFn with no known prime.
259	144	5, 13		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 42 mod 43 (43)	64 (1M)	118 (150) 4 (111) 30 (62) 126 (34) 78 (19) 76 (12) 100 (10) 22 (10) 108 (9) 102 (8)
260	28	3, 29		k = = 6 mod 7 (7) k = = 36 mod 37 (37)	none - proven	4 (650) 14 (593) 25 (158) 18 (20) 16 (12) 19 (4) 10 (4) 24 (3) 21 (3) 15 (3)
261	8837652	7, 79, 131, 859		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 12 mod 13 (13)	39028 k's remaining at n=2.5K. To be shown later.	8315258 (2500) 6724708 (2500) 5746342 (2500) 5674528 (2500) 2889598 (2500) 1657020 (2500) 780148 (2500) 8098982 (2499) 7888340 (2499) 7217626 (2499)
262	110724	5, 7, 13, 103, 263		k = = 2 mod 3 (3) k = = 28 mod 29 (29)	832 k's remaining at n=25K. See k's at Sierpinski Base 262 remain.	82251 (24884) 79651 (24821) 84442 (24767) 27960 (24765) 10714 (24747) 33289 (24570) 28705 (24553) 94854 (24546) 70012 (24536) 108739 (24298)	k = 262 and 68644 are GFn's with no known prime.
263	10	3, 11		k = = 1 mod 2 (2) k = = 130 mod 131 (131)	8 (1M)	2 (957) 4 (50) 6 (1)
264	54	5, 53		k = = 262 mod 263 (263)	41 (1M)	29 (68009) 4 (9647) 50 (1241) 16 (430) 45 (90) 11 (46) 51 (32) 46 (16) 31 (14) 36 (12)
265	246	7, 19		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 10 mod 11 (11)	none - proven	94 (1997) 18 (163) 36 (146) 162 (118) 6 (75) 220 (67) 130 (48) 106 (46) 232 (36) 144 (24)
266	88	3, 89		k = = 4 mod 5 (5) k = = 52 mod 53 (53)	none - proven	55 (32246) 46 (3378) 16 (668) 5 (509) 22 (500) 37 (226) 57 (121) 43 (82) 41 (71) 80 (53)
267	1343016	5, 13, 37, 67, 163		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 18 mod 19 (19)	3728 k's remaining at n=25K. See k's at Sierpinski Base 267 remain.	489926 (24971) 1226032 (24911) 351270 (24888) 665242 (24855) 314452 (24838) 903498 (24822) 1248814 (24786) 61244 (24785) 1195058 (24764) 387584 (24719)
268	8338	5, 13, 269		k = = 2 mod 3 (3) k = = 88 mod 89 (89)	76 k's remaining at n=100K. See k's at Sierpinski Base 268 remain.	7138 (97848) 6892 (95386) 985 (93675) 2761 (92465) 5776 (91503) 6748 (82851) 1828 (81414) 783 (80368) 7278 (78058) 2194 (76193)	k = 268 is a GFn with no known prime.
269	4	3, 5		k = = 1 mod 2 (2) k = = 66 mod 67 (67)	none - proven	2 (3)
270	62060	7, 37, 151, 271		k = = 268 mod 269 (269)	428 k's remaining at n=25K. See k's at Sierpinski Base 270 remain.	27865 (24644) 43942 (24565) 25742 (24564) 25367 (24410) 40932 (24220) 54456 (24121) 46164 (23962) 26365 (23644) 54805 (23545) 7104 (23386)
272	8	3, 7		k = = 270 mod 271 (271)	none - proven	7 (22) 2 (15) 6 (3) 4 (2) 3 (2) 5 (1)
273	3974	5, 29, 137		k = = 2 mod 3 (3) k = = 16 mod 17 (17)	464 (300K) 1234 (300K) 1718 (300K) 2858 (300K) 3266 (300K) 3566 (300K)	1642 (295670) 956 (135149) 2988 (134144) 1224 (113453) 278 (35500) 476 (35348) 886 (32227) 2444 (31845) 2072 (29402) 512 (22742)
274	21	5, 11		k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 12 mod 13 (13)	none - proven	19 (5) 16 (2) 7 (2) 18 (1) 15 (1) 10 (1) 9 (1) 4 (1) 2 (1)
275	22	3, 23		k = = 1 mod 2 (2) k = = 136 mod 137 (137)	none - proven	4 (158) 8 (19) 16 (4) 6 (4) 2 (3) 10 (2) 20 (1) 18 (1) 14 (1) 12 (1)
276	622697	7, 13, 277, 1549		k = = 4 mod 5 (5) k = = 10 mod 11 (11)	1669 k's remaining at n=25K. See k's at Sierpinski Base 276 remain.	336086 (24994) 117823 (24920) 283666 (24883) 126786 (24874) 608698 (24848) 281033 (24811) 484436 (24803) 555071 (24799) 200022 (24771) 175342 (24764)
277	19578	7, 19, 193		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 22 mod 23 (23)	82 k's remaining at n=100K. See k's at Sierpinski Base 277 remain.	2748 (95994) 1144 (92827) 12904 (88546) 13402 (83438) 13242 (82178) 9558 (82053) 13992 (78883) 16264 (76258) 12822 (69543) 8916 (65901)
278	8	3, 5, 13		k = = 276 mod 277 (277)	none - proven	3 (54) 5 (15) 7 (2) 4 (2) 6 (1) 2 (1)
279	6	5, 7		k = = 1 mod 2 (2) k = = 138 mod 139 (139)	none - proven	2 (4) 4 (1)
281	46	3, 47		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	none - proven	8 (1843) 32 (63) 28 (46) 40 (36) 38 (7) 22 (6) 42 (2) 36 (2) 16 (2) 10 (2)
282	10807	7, 13, 877		k = = 280 mod 281 (281)	148 k's remaining at n=100K. See k's at Sierpinski Base 282 remain.	8704 (98169) 4306 (95892) 4073 (92140) 5745 (90967) 10443 (89140) 1652 (86218) 5074 (85030) 7993 (79297) 5654 (78457) 7487 (73687)	k = 282 is a GFn with no known prime.
283	106714	7, 13, 71, 367		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 46 mod 47 (47)	559 k's remaining at n=25K. See k's at Sierpinski Base 283 remain.	99880 (24950) 97896 (24805) 43182 (24772) 29308 (24644) 82156 (24639) 44788 (24412) 66084 (24363) 14244 (24315) 24276 (24185) 93396 (23801)
284	4	3, 5		k = = 282 mod 283 (283)	none - proven	3 (1) 2 (1)
285	12	11, 13		k = = 1 mod 2 (2) k = = 70 mod 71 (71)	none - proven	6 (5) 4 (2) 10 (1) 8 (1) 2 (1)
286	370	7, 41		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 18 mod 19 (19)	none - proven	106 (5542) 141 (450) 300 (375) 223 (131) 330 (76) 111 (69) 190 (54) 117 (53) 258 (49) 351 (48)	k = 1 and 286 are GFn's with no known prime.
287	7142	3, 5, 17, 457		k = = 1 mod 2 (2) k = = 10 mod 11 (11) k = = 12 mod 13 (13)	88 k's remaining at n=100K. See k's at Sierpinski Base 287 remain.	1532 (99787) 5734 (98362) 1294 (97258) 2096 (90201) 5266 (89464) 3754 (86670) 4474 (86350) 1292 (81511) 2044 (79614) 7024 (79246)
288	2704	5, 17, 53		k = = 6 mod 7 (7) k = = 40 mod 41 (41)	203 (300K) 218 (300K) 1514 (300K) 1769 (300K) 1818 (300K) 1871 (300K) 2296 (300K)	968 (235591) 2415 (209272) 2437 (120654) 2107 (61213) 1257 (43061) 2041 (41088) 2362 (35629) 2006 (29876) 1748 (27603) 964 (27046)
289	204	5, 29		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	none - proven	160 (83024) 156 (58234) 88 (2434) 10 (678) 166 (534) 6 (200) 106 (72) 96 (72) 126 (26) 66 (26)
290	98	3, 97		k = = 16 mod 17 (17)	73 (500K) 88 (500K) 91 (500K)	74 (26295) 42 (4605) 44 (3441) 49 (1782) 53 (1597) 70 (1018) 43 (702) 82 (612) 31 (420) 65 (323)
291	33232	7, 61, 199		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 28 mod 29 (29)	68 k's remaining at n=100K. See k's at Sierpinski Base 291 remain.	16726 (89370) 16516 (89071) 10050 (86640) 9400 (81127) 16540 (80519) 11030 (75869) 22538 (69242) 30392 (68232) 31902 (67720) 10506 (66520)
292	40393	5, 7, 13, 19, 79		k = = 2 mod 3 (3) k = = 96 mod 97 (97)	262 k's remaining at n=100K. See k's at Sierpinski Base 292 remain.	6574 (98058) 9246 (96976) 5262 (96958) 31288 (96082) 26557 (95711) 14857 (92435) 15693 (91688) 26536 (91000) 25624 (89847) 26478 (89822)	k = 292 is a GFn with no known prime.
293	8	3, 7		k = = 1 mod 2 (2) k = = 72 mod 73 (73)	none - proven	4 (1034) 6 (1) 2 (1)
294	119	5, 59		k = = 292 mod 293 (293)	61 (1M)	116 (78734) 99 (53407) 101 (11674) 112 (6582) 80 (6290) 51 (2170) 6 (2088) 96 (826) 109 (373) 11 (364)	k = 1 is a GFn with no known prime.
295	394902	37, 53, 821		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7)	542 k's remaining at n=25K. See k's at Sierpinski Base 295 remain.	224002 (24986) 214044 (24955) 138246 (24952) 202056 (24785) 167190 (24782) 205182 (24686) 377956 (24642) 100710 (24574) 288268 (24572) 337698 (24461)
296	10	3, 11		k = = 4 mod 5 (5) k = = 58 mod 59 (59)	none - proven	8 (187) 7 (56) 3 (3) 6 (1) 5 (1) 2 (1)
297	133654	5, 7, 13, 19, 149		k = = 1 mod 2 (2) k = = 36 mod 37 (37)	695 k's remaining at n=25K. See k's at Sierpinski Base 297 remain.	114782 (24875) 37486 (24779) 42106 (24767) 92098 (24665) 50718 (24478) 45624 (24359) 120840 (24218) 80212 (23960) 13460 (23917) 106652 (23846)
298	183	13, 23		k = = 2 mod 3 (3) k = = 10 mod 11 (11)	66 (500K) 168 (500K)	48 (24515) 105 (23516) 73 (15171) 24 (2226) 12 (293) 106 (277) 117 (270) 22 (229) 180 (168) 124 (93)	k = 1 is a GFn with no known prime.
299	4	3, 5		k = = 1 mod 2 (2) k = = 148 mod 149 (149)	none - proven	2 (1)
300	85	7, 43		k = = 12 mod 13 (13) k = = 22 mod 23 (23)	none - proven	55 (2251) 29 (672) 83 (275) 63 (163) 50 (146) 28 (44) 8 (26) 49 (25) 36 (24) 9 (20)
301	1061982	89, 151, 509		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	705 k's remaining at n=25K. See k's at Sierpinski Base 301 remain.	185356 (24957) 979522 (24905) 36402 (24880) 736350 (24853) 563382 (24672) 621562 (24587) 233158 (24550) 478816 (24282) 918436 (24195) 1023798 (24157)
302	16	3, 5, 17		k = = 6 mod 7 (7) k = = 42 mod 43 (43)	none - proven	4 (18) 10 (16) 2 (15) 7 (8) 15 (4) 12 (2) 14 (1) 11 (1) 9 (1) 8 (1)	k = 1 is a GFn with no known prime.
303	174742	5, 19, 9181		k = = 1 mod 2 (2) k = = 150 mod 151 (151)	2225 k's remaining at n=25K. See k's at Sierpinski Base 303 remain.	10848 (24915) 39534 (24907) 38384 (24806) 65646 (24800) 55072 (24798) 145122 (24774) 143962 (24717) 59288 (24706) 74050 (24684) 122814 (24658)
304	121	5, 61		k = = 2 mod 3 (3) k = = 100 mod 101 (101)	60 (1M)	69 (70969) 51 (4422) 19 (2493) 21 (2246) 61 (692) 16 (182) 88 (159) 94 (127) 96 (104) 106 (60)	k = 1 is a GFn with no known prime.
305	16	3, 17		k = = 1 mod 2 (2) k = = 18 mod 19 (19)	none - proven	2 (16807) 10 (1522) 4 (126) 12 (2) 14 (1) 8 (1) 6 (1)
306	431937	7, 37, 199, 2539		k = = 4 mod 5 (5) k = = 60 mod 61 (61)	1385 k's remaining at n=25K. See k's at Sierpinski Base 306 remain.	174101 (25000) 207985 (24948) 300413 (24942) 218410 (24865) 261596 (24855) 428972 (24833) 161520 (24691) 66233 (24555) 98478 (24530) 357902 (24524)
307	34	7, 11		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 16 mod 17 (17)	none - proven	10 (3423) 6 (549) 12 (490) 22 (24) 30 (4) 28 (1) 24 (1) 18 (1) 4 (1)
308	104	3, 103		k = = 306 mod 307 (307)	5 (300K) 36 (300K) 53 (300K) 83 (300K) 88 (300K)	25 (20372) 4 (1966) 31 (1904) 46 (1440) 67 (1026) 20 (669) 62 (237) 56 (183) 76 (116) 28 (114)	k = 1 is a GFn with no known prime.
309	94	5, 31		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 10 mod 11 (11)	none - proven	16 (180) 26 (146) 74 (51) 80 (40) 56 (38) 66 (16) 88 (13) 46 (8) 22 (6) 30 (5)
310	268392	7, 13, 17, 37, 311		k = = 2 mod 3 (3) k = = 102 mod 103 (103)	1091 k's remaining at n=25K. See k's at Sierpinski Base 310 remain.	175719 (24993) 205722 (24979) 40617 (24914) 56220 (24905) 49272 (24886) 147801 (24732) 240826 (24708) 139522 (24676) 84552 (24608) 90342 (24462)	k = 310 and 96100 are GFn's with no known prime.
311	142	3, 13		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 30 mod 31 (31)	none - proven	10 (314806) 76 (135562) 46 (8480) 106 (754) 40 (492) 90 (361) 126 (292) 88 (130) 58 (84) 38 (59)
312	890797	5, 7, 19, 277, 313		k = = 310 mod 311 (311)	32149 k's remaining at n=2.5K. To be shown later.	12 (21162) 821948 (2500) 656057 (2500) 294396 (2500) 43112 (2500) 832655 (2499) 460686 (2499) 404472 (2499) 368517 (2499) 267720 (2499)
313	111312	5, 101, 157		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 12 mod 13 (13)	234 k's remaining at n=100K. See k's at Sierpinski Base 313 remain.	55458 (99530) 104208 (98624) 29838 (95751) 28342 (93842) 29758 (92210) 58348 (90762) 64138 (90154) 88084 (89439) 75844 (87002) 36748 (84791)
314	4	3, 5		k = = 312 mod 313 (313)	none - proven	3 (280) 2 (3)
315	1642	13, 19, 31		k = = 1 mod 2 (2) k = = 156 mod 157 (157)	550 (500K) 836 (500K)	278 (180134) 1390 (101935) 1186 (18580) 1252 (18342) 940 (16389) 168 (13346) 1466 (12888) 286 (9448) 1018 (4839) 1576 (3706)
316	287520	13, 19, 31, 317		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	145 k's remaining at n=100K. See k's at Sierpinski Base 316 remain.	177877 (98900) 258658 (98469) 260776 (97297) 42796 (96540) 252490 (95911) 108592 (94552) 70470 (94256) 116887 (92271) 136432 (91116) 32907 (91007)
317	52	3, 53		k = = 1 mod 2 (2) k = = 78 mod 79 (79)	44 (600K)	20 (218953) 6 (1465) 40 (1296) 32 (1051) 38 (465) 8 (433) 34 (370) 46 (268) 16 (100) 12 (82)
318	144	11, 29		k = = 316 mod 317 (317)	89 (600K)	56 (288096) 116 (18547) 59 (6718) 51 (2620) 92 (1588) 78 (908) 121 (737) 122 (624) 14 (302) 111 (188)
319	684	5, 17, 73		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 52 mod 53 (53)	64 (300K) 256 (300K) 286 (300K) 366 (300K) 574 (300K)	334 (188699) 624 (2817) 678 (2632) 306 (2396) 672 (2266) 436 (1388) 546 (884) 318 (564) 244 (469) 346 (436)
320	106	3, 107		k = = 10 mod 11 (11) k = = 28 mod 29 (29)	97 (600K)	8 (52003) 25 (35754) 49 (2580) 46 (2480) 11 (1263) 92 (301) 95 (219) 13 (160) 94 (158) 61 (132)
321	22	7, 23		k = = 1 mod 2 (2) k = = 4 mod 5 (5)	none - proven	8 (478) 16 (19) 6 (13) 10 (2) 20 (1) 18 (1) 12 (1) 2 (1)
322	18	17, 19		k = = 2 mod 3 (3) k = = 106 mod 107 (107)	none - proven	12 (4) 13 (2) 9 (2) 7 (2) 16 (1) 15 (1) 10 (1) 6 (1) 4 (1) 3 (1)	k = 1 is a GFn with no known prime.
323	2284	3, 5, 13, 37, 457		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 22 mod 23 (23)	31 k's remaining at n=100K. See k's at Sierpinski Base 323 remain.	1040 (82177) 1108 (66274) 1456 (41240) 1876 (36140) 1820 (34937) 2206 (27420) 1928 (23659) 274 (19466) 578 (18315) 2224 (15730)
324	14	5, 13		k = = 16 mod 17 (17) k = = 18 mod 19 (19)	none - proven	10 (6) 13 (5) 3 (3) 11 (2) 6 (2) 2 (2) 12 (1) 9 (1) 8 (1) 7 (1)	k = 1 is a GFn with no known prime.
326	110	3, 109		k = = 4 mod 5 (5) k = = 12 mod 13 (13)	none - proven	5 (400785) 17 (350899) 13 (56864) 73 (7036) 43 (5596) 87 (406) 53 (299) 33 (236) 58 (184) 70 (168)
327	1844	13, 37, 41, 97, 379		k = = 1 mod 2 (2) k = = 162 mod 163 (163)	38 (300K) 122 (300K) 704 (300K) 1086 (300K) 1352 (300K) 1376 (300K) 1378 (300K) 1516 (300K) 1648 (300K) 1696 (300K) 1762 (300K)	1764 (289322) 1482 (278686) 1072 (176435) 1752 (138892) 328 (135981) 1770 (125824) 782 (81263) 222 (55884) 1076 (50035) 206 (45156)
328	48	7, 47		k = = 2 mod 3 (3) k = = 108 mod 109 (109)	27 (1M)	22 (592) 36 (292) 30 (201) 4 (30) 45 (19) 34 (13) 6 (7) 3 (6) 42 (4) 37 (4)
329	4	3, 5		k = = 1 mod 2 (2) k = = 40 mod 41 (41)	none - proven	2 (1)
330	16636723	13, 331, 8377		k = = 6 mod 7 (7) k = = 46 mod 47 (47)	101096 k's remaining at n=2.5K. To be shown later.	16027380 (2500) 15961583 (2500) 15595009 (2500) 15502536 (2500) 13386508 (2500) 13356747 (2500) 11875154 (2500) 11545292 (2500) 11499685 (2500) 9575909 (2500)
331	280458	7, 13, 19, 29, 83		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 10 mod 11 (11)	253 k's remaining at n=100K. See k's at Sierpinski Base 331 remain.	180358 (99393) 257766 (99333) 107292 (97697) 47458 (97552) 51868 (97186) 222358 (96954) 245986 (96320) 126300 (96095) 99730 (95893) 61990 (94974)
332	38	3, 37		k = = 330 mod 331 (331)	4 (770K) 16 (700K)	31 (367560) 27 (4366) 17 (1327) 10 (552) 9 (310) 23 (269) 5 (105) 32 (79) 26 (61) 20 (31)
333	6514	5, 13, 167		k = = 1 mod 2 (2) k = = 82 mod 83 (83)	18 (250K) 118 (250K) 824 (250K) 962 (250K) 1476 (250K) 1504 (250K) 1678 (250K) 1806 (250K) 2172 (250K) 2224 (250K) 2504 (250K) 2506 (250K) 3268 (250K) 4308 (250K) 4542 (250K) 4842 (250K) 4954 (250K) 5010 (250K) 5052 (250K) 5242 (250K) 5592 (250K) 5738 (250K) 6096 (250K) 6310 (250K) 6408 (250K)	3748 (218908) 2428 (202852) 6326 (188895) 2484 (182603) 1846 (164232) 1712 (117912) 4642 (115616) 4674 (112314) 40 (105533) 3868 (99848)
334	66	5, 67		k = = 2 mod 3 (3) k = = 36 mod 37 (37)	4 (500K) 51 (500K)	12 (83333) 49 (951) 9 (339) 27 (103) 61 (82) 6 (44) 39 (39) 52 (35) 25 (32) 18 (26)
335	8	3, 7		k = = 1 mod 2 (2) k = = 166 mod 167 (167)	4 (1M)	2 (13) 6 (1)
336	92000	17, 29, 337		k = = 4 mod 5 (5) k = = 66 mod 67 (67)	107 k's remaining at n=100K. See k's at Sierpinski Base 336 remain.	84737 (99515) 78876 (99491) 18648 (97397) 65993 (95154) 55501 (91303) 84958 (89747) 53970 (85991) 12355 (83084) 87070 (80980) 45831 (79065)	k = 336 is a GFn with no known prime.
337	534	5, 13, 41		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7)	none - proven	168 (61657) 222 (3910) 402 (2155) 282 (1327) 42 (548) 234 (346) 352 (342) 66 (300) 348 (149) 196 (108)
338	112	3, 113		k = = 336 mod 337 (337)	10 (300K) 23 (300K) 34 (300K) 46 (300K) 53 (300K) 61 (300K) 76 (300K) 77 (300K) 98 (300K) 103 (300K)	13 (37612) 82 (35952) 83 (28199) 97 (18802) 32 (8089) 45 (7958) 40 (5632) 64 (3202) 62 (1325) 7 (792)	k = 1 is a GFn with no known prime.
339	16	5, 17		k = = 1 mod 2 (2) k = = 12 mod 13 (13)	none - proven	14 (7) 4 (7) 6 (4) 2 (3) 10 (1) 8 (1)
340	309	11, 31		k = = 2 mod 3 (3) k = = 112 mod 113 (113)	199 (1M)	210 (104298) 75 (2445) 123 (2039) 34 (1946) 249 (1618) 166 (1038) 217 (765) 103 (401) 175 (367) 30 (325)
341	20	3, 19		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 16 mod 17 (17)	none - proven	10 (106008) 18 (5) 6 (2) 12 (1) 8 (1) 2 (1)
342	552	5, 7, 149		k = = 10 mod 11 (11) k = = 30 mod 31 (31)	36 (300K) 204 (300K) 341 (300K) 468 (300K) 491 (300K)	27 (232379) 246 (168008) 71 (57384) 237 (41199) 412 (39987) 498 (20368) 62 (13143) 344 (3494) 504 (2509) 313 (2057)
343	1936	5, 13, 43	All k = m^3 for all n; factors to: (m7^n + 1) (m^249^n - m7^n + 1)	k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 18 mod 19 (19)	616 (300K) 904 (300K) 924 (300K) 1678 (300K)	1084 (287519) 1470 (223429) 646 (108636) 1852 (52708) 1506 (48204) 1906 (18092) 472 (9909) 1438 (7926) 1762 (5085) 826 (5053)	k = 64, 216, and 1000 proven composite by full algebraic factors.
344	4	3, 5		k = = 6 mod 7 (7)	none - proven	2 (17) 3 (1)	k = 1 is a GFn with no known prime.
347	28	3, 29		k = = 1 mod 2 (2) k = = 172 mod 173 (173)	none - proven	4 (370) 22 (126) 2 (123) 10 (72) 20 (19) 16 (12) 14 (7) 26 (3) 12 (2) 24 (1)
348	26523	5, 53, 349		k = = 346 mod 347 (347)	257 k's remaining at n=100K. See k's at Sierpinski Base 348 remain.	13638 (99714) 6634 (98921) 8831 (98423) 4201 (97292) 4883 (96722) 13263 (93018) 25323 (92456) 9838 (90747) 11624 (90009) 26133 (88450
349	6	5, 7		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 28 mod 29 (29)	none - proven	4 (3)
350	14	3, 13		k = = 348 mod 349 (349)	none - proven	5 (20391) 10 (1294) 7 (84) 13 (6) 9 (3) 6 (2) 4 (2) 12 (1) 11 (1) 8 (1)
351	115752	11, 229, 269		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	102 k's remaining at n=100K. See k's at Sierpinski Base 351 remain.	12618 (94570) 85416 (92750) 56200 (91900) 91092 (91694) 97998 (88799) 88692 (87161) 67638 (86425) 58992 (85985) 55340 (84595) 89068 (84412)
352	7990	7, 61, 97		k = = 2 mod 3 (3) k = = 12 mod 13 (13)	183 (500K) 1837 (500K) 1902 (500K) 2073 (500K) 2119 (500K) 2812 (500K) 3178 (500K) 3454 (500K) 3531 (500K) 3552 (500K) 4387 (500K) 4989 (500K) 5647 (500K) 5697 (500K) 5703 (500K) 6706 (500K) 6729 (500K) 6852 (500K) 7243 (500K) 7978 (500K)	2707 (161776) 1173 (89793) 3484 (88810) 7923 (86434) 1977 (77376) 5794 (72574) 5346 (66463) 6363 (57245) 6114 (53991) 7941 (40220)
353	16	3, 5, 17		k = = 1 mod 2 (2) k = = 10 mod 11 (11)	8 (700K)	12 (20261) 2 (2313) 4 (2086) 6 (3) 14 (1)
354	141	5, 71		k = = 352 mod 353 (353)	12 (500K) 75 (500K) 134 (500K)	64 (19921) 104 (4495) 43 (2808) 96 (1994) 89 (1403) 94 (1357) 101 (1246) 44 (735) 124 (623) 90 (397)	k = 1 is a GFn with no known prime.
355	23586	7, 13, 89, 103		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 58 mod 59 (59)	40 k's remaining at n=100K. See k's at Sierpinski Base 355 remain.	4840 (88061) 8986 (78137) 3628 (71696) 12906 (67056) 18630 (63648) 20136 (63131) 13246 (58166) 10572 (56966) 424 (54435) 3442 (52451)
356	8	3, 7		k = = 4 mod 5 (5) k = = 70 mod 71 (71)	none - proven	5 (595) 2 (3) 7 (2) 6 (1) 3 (1)	k = 1 is a GFn with no known prime.
357	456628	5, 179, 2549		k = = 1 mod 2 (2) k = = 88 mod 89 (89)	1428 k's remaining at n=25K. See k's at Sierpinski Base 357 remain.	188042 (24996) 320674 (24955) 404114 (24870) 142138 (24853) 368846 (24812) 327688 (24800) 219286 (24760) 287548 (24756) 250092 (24663) 385344 (24575)
359	4	3, 5		k = = 1 mod 2 (2) k = = 178 mod 179 (179)	none - proven	2 (1)
360	628	7, 13, 19, 37		k = = 358 mod 359 (359)	77 (300K) 172 (300K) 303 (300K) 381 (300K) 506 (300K)	552 (230680) 219 (168699) 343 (165674) 39 (35844) 286 (27214) 20 (19670) 581 (17429) 179 (12302) 137 (11328) 517 (11075)
361	1671172	7, 13, 17, 181, 4297		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	5510 k's remaining at n>=10K. See k's and test limits at Sierpinski Base 361 remain.	624466 (99390) 721306 (98765) 142656 (98574) 314326 (98306) 375546 (97662) 1156606 (97533) 669456 (97476) 249556 (97358) 353986 (96124) 397276 (95784)
362	10	3, 11		k = = 18 mod 19 (19)	none - proven	4 (30) 2 (15) 6 (9) 7 (6) 9 (1) 8 (1) 5 (1) 3 (1)	k = 1 is a GFn with no known prime.
363	64	7, 13		k = = 1 mod 2 (2) k = = 180 mod 181 (181)	none - proven	48 (4283) 38 (299) 36 (128) 14 (26) 40 (14) 52 (9) 16 (9) 62 (5) 56 (5) 42 (5)
364	291	5, 73		k = = 2 mod 3 (3) k = = 10 mod 11 (11)	none - proven	46 (7308) 145 (2197) 144 (1045) 231 (468) 279 (329) 214 (281) 169 (277) 289 (267) 151 (260) 9 (165)
365	304	3, 61		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 12 mod 13 (13)	2 (500K) 176 (500K)	268 (10808) 40 (4662) 226 (2798) 88 (1708) 158 (717) 172 (492) 140 (385) 262 (352) 214 (344) 248 (325)
366	79231	7, 31, 619		k = = 4 mod 5 (5) k = = 72 mod 73 (73)	357 k's remaining at n=100K. See k's at Sierpinski Base 366 remain.	77822 (99456) 43651 (99049) 34967 (98821) 78956 (98810) 51642 (98276) 59076 (95805) 45590 (95600) 66491 (95487) 64226 (94788) 46126 (93434)	k = 366 is a GFn with no known prime.
367	3462	7, 13, 619, 3463		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 60 mod 61 (61)	24 (300K) 160 (300K) 766 (300K) 888 (300K) 1096 (300K) 1458 (300K) 1632 (300K) 1780 (300K) 1954 (300K) 2092 (300K) 2598 (300K) 2782 (300K) 3106 (300K) 3202 (300K)	838 (198905) 2368 (117513) 3216 (33961) 2742 (29246) 552 (27584) 1018 (19541) 1726 (19044) 1824 (17835) 2446 (16284) 3130 (14635)
368	40	3, 41		k = = 366 mod 367 (367)	8 (500K) 12 (500K) 34 (500K)	24 (19350) 2 (7045) 23 (4699) 29 (371) 38 (319) 16 (280) 5 (207) 6 (107) 4 (82) 39 (25)	k = 1 is a GFn with no known prime.
369	36	5, 37		k = = 1 mod 2 (2) k = = 22 mod 23 (23)	none - proven	6 (3418) 24 (53) 18 (27) 4 (23) 32 (11) 26 (4) 16 (4) 12 (3) 20 (2) 34 (1)
370	160	7, 53		k = = 2 mod 3 (3) k = = 40 mod 41 (41)	none - proven	34 (4981) 52 (757) 76 (525) 78 (484) 85 (178) 27 (151) 109 (84) 16 (75) 154 (59) 97 (59)
371	32	3, 31		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 36 mod 37 (37)	none - proven	22 (252) 26 (113) 20 (19) 10 (12) 6 (7) 28 (4) 16 (4) 12 (2) 30 (1) 18 (1)
372	9699	5, 13, 373		k = = 6 mod 7 (7) k = = 52 mod 53 (53)	51 k's remaining at n=100K. See k's at Sierpinski Base 372 remain.	5449 (96877) 8104 (96018) 6430 (92755) 9186 (73167) 1327 (62755) 1513 (61478) 6016 (59952) 362 (55491) 3782 (46611) 5033 (45089)	k = 372 is a GFn with no known prime.
373	120	11, 17		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 30 mod 31 (31)	108 (700K)	118 (105239) 82 (16926) 48 (5171) 34 (14) 106 (9) 10 (9) 90 (8) 40 (7) 16 (7) 66 (5)
374	4	3, 5		k = = 372 mod 373 (373)	none - proven	2 (33) 3 (1)
375	7509988	7, 47, 139, 1009		k = = 1 mod 2 (2) k = = 10 mod 11 (11) k = = 16 mod 17 (17)	46406 k's remaining at n=2.5K. To be shown later.	6419062 (2500) 5838528 (2500) 3152008 (2500) 2230010 (2500) 1523882 (2500) 1339222 (2500) 743658 (2500) 7253116 (2499) 6327284 (2499) 6218710 (2499)
376	610	13, 29		k = = 2 mod 3 (3) k = = 4 mod 5 (5)	246 (500K) 298 (500K)	222 (121432) 463 (59011) 477 (29831) 157 (20880) 118 (12818) 265 (7759) 412 (2807) 523 (2152) 430 (2036) 450 (712)
377	8	3, 7		k = = 1 mod 2 (2) k = = 46 mod 47 (47)	none - proven	4 (74) 6 (45) 2 (19)
378	6444	5, 17, 379		k = = 12 mod 13 (13) k = = 28 mod 29 (29)	288 (300K) 327 (300K) 460 (300K) 534 (300K) 729 (300K) 757 (300K) 829 (300K) 953 (300K) 1854 (300K) 2784 (300K) 3588 (300K) 3879 (300K)	3478 (260076) 5428 (249058) 1818 (217098) 4355 (152156) 6102 (108197) 2275 (85190) 305 (83923) 4810 (81803) 5301 (75809) 4499 (64018)
379	246	5, 19		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7)	156 (1M)	24 (66097) 136 (43454) 96 (344) 126 (86) 150 (74) 30 (37) 210 (34) 226 (30) 208 (19) 186 (18)
380	128	3, 127		k = = 378 mod 379 (379)	64 (500K) 85 (500K)	61 (273136) 106 (182846) 89 (19069) 95 (6513) 14 (2157) 73 (1958) 103 (946) 48 (884) 46 (758) 101 (597)	k = 1 is a GFn with no known prime.
381	18526	7, 13, 43, 191		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 18 mod 19 (19)	5976 (300K) 6772 (300K) 9260 (300K) 10942 (300K) 12692 (300K) 14668 (300K) 15570 (300K) 15640 (300K) 16826 (300K) 18100 (300K)	1322 (128493) 14056 (104273) 2292 (93814) 4952 (65623) 1966 (56007) 5762 (43890) 13250 (43466) 2852 (41505) 10016 (40735) 16998 (40145)
382	11491	5, 13, 383		k = = 2 mod 3 (3) k = = 126 mod 127 (127)	93 k's remaining at n=100K. See k's at Sierpinski Base 382 remain.	7563 (94114) 5316 (92775) 7132 (86578) 4752 (86356) 10762 (85942) 2082 (83098) 10804 (79485) 7773 (76365) 6303 (71272) 6291 (68279)
383	1022	3, 5, 17, 41		k = = 1 mod 2 (2) k = = 190 mod 191 (191)	37 k's remaining at n>=519K. See k's and test limits at Sierpinski Base 383 remain.	50 (463313) 104 (408249) 454 (354814) 134 (225187) 740 (185249) 518 (126363) 220 (116742) 944 (75703) 46 (55808) 876 (55720)
384	6	5, 7		k = = 382 mod 383 (383)	none - proven	4 (21) 5 (2) 3 (1) 2 (1)
385	3301264	13, 193, 5701		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	3407 k's remaining at n=10K. See k's at Sierpinski Base 385 remain.	150670 (9994) 435264 (9988) 2684260 (9987) 855234 (9987) 1403730 (9984) 1116282 (9982) 3001384 (9972) 2251122 (9965) 2534266 (9961) 44224 (9958)
386	85	3, 43		k = = 4 mod 5 (5) k = = 6 mod 7 (7) k = = 10 mod 11 (11)	none - proven	30 (225439) 31 (1010) 25 (784) 36 (413) 3 (183) 40 (140) 7 (120) 53 (63) 52 (44) 60 (21)
387	1798	5, 7, 13, 17, 19		k = = 1 mod 2 (2) k = = 192 mod 193 (193)	502 (300K) 594 (300K) 612 (300K) 696 (300K) 1004 (300K) 1070 (300K) 1268 (300K) 1314 (300K) 1456 (300K) 1532 (300K)	958 (95552) 1630 (82885) 236 (76425) 1616 (76153) 264 (29733) 1596 (27933) 766 (27587) 1466 (26076) 290 (23117) 94 (18818)
388	90249	5, 7, 13, 19, 389		k = = 2 mod 3 (3) k = = 42 mod 43 (43)	832 k's remaining at n=25K. See k's at Sierpinski Base 388 remain.	1194 (24973) 48250 (24971) 13576 (24935) 36447 (24900) 37902 (24850) 47583 (24762) 957 (24696) 4732 (24564) 6348 (24515) 55012 (24470)	k = 388 is a GFn with no known prime.
389	4	3, 5		k = = 1 mod 2 (2) k = = 96 mod 97 (97)	none - proven	2 (5)
390	137	17, 23		k = = 388 mod 389 (389)	none - proven	65 (8188) 16 (421) 101 (345) 114 (223) 94 (146) 68 (123) 116 (98) 135 (87) 24 (44) 93 (26)	k = 1 is a GFn with no known prime.
391	206662	7, 19, 1399, 2689		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 12 mod 13 (13)	247 k's remaining at n=100K. See k's at Sierpinski Base 391 remain.	153346 (98323) 25962 (97635) 147006 (97453) 138942 (93353) 63706 (90871) 197590 (90764) 14160 (89705) 146308 (86392) 82132 (86290) 95122 (85567)
392	130	3, 131		k = = 16 mod 17 (17) k = = 22 mod 23 (23)	23 (500K) 94 (500K) 103 (500K)	125 (444161) 61 (68204) 92 (57111) 76 (16584) 79 (3050) 28 (1942) 47 (1895) 107 (1711) 122 (739) 11 (411)
393	58608	13, 43, 277		k = = 1 mod 2 (2) k = = 6 mod 7 (7)	166 k's remaining at n=100K. See k's at Sierpinski Base 393 remain.	33856 (95601) 27514 (95166) 52636 (94444) 21752 (92218) 24236 (91416) 30840 (90638) 46274 (90607) 19486 (90563) 40546 (89137) 29578 (87438)
394	159	5, 79		k = = 2 mod 3 (3) k = = 130 mod 131 (131)	129 (500K) 136 (500K)	99 (5557) 61 (2272) 69 (707) 10 (626) 73 (492) 85 (381) 36 (294) 157 (257) 28 (218) 106 (180)	k = 1 is a GFn with no known prime.
395	10	3, 11		k = = 1 mod 2 (2) k = = 196 mod 197 (197)	4 (1M) 8 (500K)	2 (2625) 6 (1)
396	5253	7, 37, 607		k = = 4 mod 5 (5) k = = 78 mod 79 (79)	2358 (500K) 3267 (500K) 4245 (500K) 5228 (500K)	2136 (285974) 3338 (280633) 4821 (263301) 1693 (228140) 1153 (149297) 4651 (129805) 3240 (105962) 4155 (92698) 398 (86708) 1713 (73752)
397	10546	7, 31, 37, 199		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 10 mod 11 (11)	28 k's remaining at n=100K. See k's at Sierpinski Base 397 remain.	7596 (77651) 8916 (69232) 2196 (57783) 4818 (56714) 9306 (52185) 9696 (44736) 3078 (42177) 6936 (38644) 9636 (36888) 4024 (35337)
398	8	3, 7		k = = 396 mod 397 (397)	none - proven	7 (17472) 4 (30) 5 (13) 3 (11) 6 (1) 2 (1)
400	12492354	13, 127, 401, 421		k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 18 mod 19 (19)	68114 k's remaining at n=2.5K. To be shown later.	10957630 (2500) 9216358 (2500) 8093443 (2500) 7469107 (2500) 7449103 (2500) 7389330 (2500) 7354531 (2500) 5771554 (2500) 5529904 (2500) 4249677 (2500)	k = 160000 is a GFn with no known prime.
401	68	3, 67		k = = 1 mod 2 (2) k = = 4 mod 5 (5)	20 (1M)	16 (4212) 22 (2848) 62 (751) 32 (183) 52 (122) 38 (69) 66 (47) 58 (16) 6 (16) 28 (12)
402	92	13, 31		k = = 400 mod 401 (401)	61 (600K)	66 (10840) 30 (4637) 83 (1148) 87 (942) 6 (679) 56 (664) 36 (560) 63 (260) 40 (258) 2 (159)	k = 1 is a GFn with no known prime.
403	11412	5, 101, 109		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 66 mod 67 (67)	31 k's remaining at n=100K. See k's at Sierpinski Base 403 remain.	9798 (94424) 166 (90779) 9822 (83001) 2092 (74365) 7932 (67802) 3588 (66688) 8146 (64887) 1114 (63457) 5974 (58039) 3466 (54204)
404	4	3, 5		k = = 12 mod 13 (13) k = = 30 mod 31 (31)	none - proven	3 (1) 2 (1)	k = 1 is a GFn with no known prime.
405	146	7, 29		k = = 1 mod 2 (2) k = = 100 mod 101 (101)	none - proven	106 (120952) 78 (5158) 34 (2325) 8 (1504) 6 (717) 132 (685) 120 (132) 46 (123) 86 (93) 94 (73)
406	186	11, 37		k = = 2 mod 3 (3) k = = 4 mod 5 (5)	none - proven	100 (543228) 16 (420) 76 (361) 183 (337) 12 (178) 70 (158) 36 (67) 177 (54) 75 (22) 67 (22)
407	16	3, 17		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 28 mod 29 (29)	none - proven	2 (291) 14 (13) 4 (6) 12 (2) 10 (2) 8 (1)
408	5318	13, 197, 409		k = = 10 mod 11 (11) k = = 36 mod 37 (37)	68 (300K) 729 (300K) 768 (300K) 1021 (300K) 1104 (300K) 1804 (300K) 1931 (300K) 2068 (300K) 2114 (300K) 2271 (300K) 2718 (300K) 3106 (300K) 3199 (300K) 3219 (300K) 3506 (300K) 3792 (300K) 3874 (300K) 4107 (300K) 5239 (300K)	3580 (222030) 3086 (160483) 2134 (127675) 4562 (90529) 5024 (77122) 3986 (75032) 3897 (71241) 486 (69543) 2306 (67124) 1184 (65975)	k = 408 is a GFn with no known prime.
409	124	5, 41		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 16 mod 17 (17)	none - proven	6 (369832) 30 (3329) 48 (539) 42 (450) 96 (38) 106 (26) 66 (24) 46 (22) 100 (20) 114 (17)
410	136	3, 137		k = = 408 mod 409 (409)	103 (500K) 110 (500K)	119 (304307) 8 (279991) 67 (250678) 4 (144078) 20 (11647) 40 (2568) 18 (670) 28 (524) 84 (409) 88 (210)	k = 1 is a GFn with no known prime.
411	46246	13, 89, 103		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 40 mod 41 (41)	88 k's remaining at n=100K. See k's at Sierpinski Base 411 remain.	14838 (99817) 1156 (97861) 43726 (90110) 23382 (82998) 39750 (82223) 20798 (81042) 25280 (80486) 26380 (74936) 42808 (73183) 2098 (68729)
412	132	5, 7, 17		k = = 2 mod 3 (3) k = = 136 mod 137 (137)	36 (500K) 64 (500K)	117 (294963) 21 (45032) 106 (2528) 99 (838) 118 (325) 55 (183) 88 (134) 72 (102) 127 (92) 16 (71)
413	22	3, 23		k = = 1 mod 2 (2) k = = 102 mod 103 (103)	none - proven	10 (16) 6 (11) 16 (8) 8 (7) 18 (4) 20 (3) 4 (2) 14 (1) 12 (1) 2 (1)
414	84	5, 83		k = = 6 mod 7 (7) k = = 58 mod 59 (59)	none - proven	24 (391179) 61 (236) 21 (142) 81 (88) 3 (66) 36 (28) 16 (24) 82 (19) 5 (18) 46 (10)
416	140	3, 139		k = = 4 mod 5 (5) k = = 82 mod 83 (83)	none - proven	73 (253392) 118 (28046) 31 (23572) 13 (18232) 10 (3186) 48 (2680) 2 (2517) 20 (2411) 110 (2247) 125 (1661)	k = 1 is a GFn with no known prime.
417	56	11, 19		k = = 1 mod 2 (2) k = = 12 mod 13 (13)	10 (700K)	54 (8501) 34 (298) 40 (8) 44 (6) 48 (5) 26 (5) 52 (3) 32 (3) 50 (2) 42 (2)
418	8398	5, 7, 29, 37, 79		k = = 2 mod 3 (3) k = = 138 mod 139 (139)	28 k's remaining at n=100K. See k's at Sierpinski Base 418 remain.	7873 (83802) 5364 (75889) 3018 (75443) 6807 (74905) 6703 (71519) 3858 (71195) 6172 (70560) 1114 (70230) 8092 (68764) 387 (65726)	k = 418 is a GFn with no known prime.
419	4	3, 5		k = = 1 mod 2 (2) k = = 10 mod 11 (11) k = = 18 mod 19 (19)	none - proven	2 (1)
420	2288555	13, 151, 421, 1171		k = = 418 mod 419 (419)	9707 k's remaining at n=10K. See k's at Sierpinski Base 420 remain.	2130839 (10000) 551118 (9999) 1753090 (9998) 81759 (9994) 2033139 (9993) 779053 (9990) 742483 (9989) 489229 (9985) 1422755 (9984) 812265 (9982)	k = 176400 is a GFn with no known prime.
421	53806	13, 17, 211		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	970 (300K) 1750 (300K) 2770 (300K) 3132 (300K) 5266 (300K) 11182 (300K) 17640 (300K) 24036 (300K) 24300 (300K) 25110 (300K) 36772 (300K) 37348 (300K) 39288 (300K) 42856 (300K) 43776 (300K) 44116 (300K) 44706 (300K)	26040 (251428) 26362 (244658) 24838 (224768) 14296 (216090) 9216 (191802) 9726 (166757) 26850 (164666) 3472 (114140) 3186 (91460) 36520 (67040)
422	46	3, 47		k = = 420 mod 421 (421)	8 (500K) 13 (500K) 17 (500K)	22 (268038) 16 (176284) 31 (33728) 37 (13020) 19 (7302) 41 (4319) 10 (2978) 4 (2634) 33 (1302) 23 (989)	k = 1 is a GFn with no known prime.
423	9698	5, 29, 53		k = = 1 mod 2 (2) k = = 210 mod 211 (211)	69 k's remaining at n=100K. See k's at Sierpinski Base 423 remain.	6254 (97095) 3392 (96909) 9502 (93490) 8422 (92388) 8612 (92386) 5116 (88813) 2124 (86809) 2724 (81553) 7792 (79126) 7802 (74137)
424	16	5, 17		k = = 2 mod 3 (3) k = = 46 mod 47 (47)	none - proven	3 (1105) 9 (23) 13 (2) 12 (2) 6 (2) 15 (1) 10 (1) 7 (1) 4 (1)	k = 1 is a GFn with no known prime.
425	70	3, 71		k = = 1 mod 2 (2) k = = 52 mod 53 (53)	none - proven	8 (94661) 64 (718) 4 (562) 34 (496) 38 (389) 62 (197) 50 (55) 46 (48) 58 (32) 28 (30)
426	62	7, 61		k = = 4 mod 5 (5) k = = 16 mod 17 (17)	8 (600K)	43 (278) 15 (194) 42 (75) 23 (43) 31 (32) 53 (28) 28 (15) 13 (13) 48 (9) 61 (8)
427	5852794	5, 107, 18233		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 70 mod 71 (71)	48534 k's remaining at n=2.5K. To be shown later.	4156686 (2500) 3966132 (2500) 2218618 (2500) 2142628 (2500) 1219012 (2500) 5770342 (2499) 5358804 (2499) 4912204 (2499) 3419896 (2499) 1227534 (2499)
428	10	3, 11		k = = 6 mod 7 (7) k = = 60 mod 61 (61)	8 (600K)	4 (14) 7 (2) 3 (2) 9 (1) 5 (1) 2 (1)
429	44	5, 43		k = = 1 mod 2 (2) k = = 106 mod 107 (107)	none - proven	26 (2794) 4 (175) 34 (65) 12 (54) 10 (45) 40 (15) 36 (6) 30 (5) 42 (3) 24 (3)
430	22413	7, 19, 379, 431		k = = 2 mod 3 (3) k = = 10 mod 11 (11) k = = 12 mod 13 (13)	15321 (600K)	17872 (228564) 859 (218562) 5370 (134491) 19125 (116506) 9024 (98827) 7858 (87160) 3399 (84495) 19638 (84214) 14566 (83829) 14448 (80945)
431	20138	3, 7, 67, 379		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 42 mod 43 (43)	316 k's remaining at n=100K. See k's at Sierpinski Base 431 remain.	19810 (99512) 10148 (99117) 19126 (96304) 5626 (96228) 14628 (94881) 6146 (92197) 3280 (90562) 1036 (89558) 1720 (89402) 6680 (86265)
432	46765	7, 13, 67, 433		k = = 430 mod 431 (431)	964 k's remaining at n=25K. See k's at Sierpinski Base 432 remain.	38596 (24973) 15243 (24882) 38765 (24829) 45186 (24821) 44483 (24618) 15649 (24573) 46539 (24542) 21034 (24277) 8420 (24239) 28218 (24060)
433	342	7, 31		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	118 (500K) 264 (500K)	108 (138703) 22 (32432) 106 (21228) 16 (8740) 64 (3686) 36 (1580) 276 (1116) 288 (1030) 316 (828) 156 (496)
434	4	3, 5		k = = 432 mod 433 (433)	none - proven	2 (9) 3 (1)
436	208	19, 23		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 28 mod 29 (29)	none - proven	45 (481613) 73 (1553) 198 (203) 25 (203) 58 (156) 201 (139) 112 (87) 180 (81) 18 (73) 75 (49)
437	8	3, 5, 13		k = = 1 mod 2 (2) k = = 108 mod 109 (109)	none - proven	2 (423) 4 (18) 6 (3)
438	2633	5, 37, 439		k = = 18 mod 19 (19) k = = 22 mod 23 (23)	30 k's remaining at n=100K. See k's at Sierpinski Base 438 remain.	2147 (91976) 2106 (89704) 101 (77631) 1658 (72299) 1371 (65081) 1075 (60386) 1473 (59628) 888 (56704) 2099 (49301) 783 (43748)	k = 438 is a GFn with no known prime.
439	34	5, 11		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 72 mod 73 (73)	none - proven	12 (94) 4 (89) 22 (70) 24 (7) 18 (5) 28 (2) 16 (2) 6 (2) 30 (1) 10 (1)
440	8	3, 7		k = = 438 mod 439 (439)	none - proven	4 (56086) 5 (825) 7 (14) 6 (11) 3 (1) 2 (1)
441	118	13, 17		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 10 mod 11 (11)	none - proven	66 (11078) 62 (23) 86 (20) 72 (16) 22 (13) 78 (8) 88 (5) 60 (5) 12 (5) 52 (4)
442	36768	5, 41, 443		k = = 2 mod 3 (3) k = = 6 mod 7 (7)	50 k's remaining at n=100K. See k's at Sierpinski Base 442 remain.	17076 (96005) 35539 (94242) 10096 (89736) 4524 (80651) 33519 (80649) 29460 (80163) 25993 (79794) 10383 (78161) 36346 (68852) 28863 (66386)
443	184	3, 37		k = = 1 mod 2 (2) k = = 12 mod 13 (13) k = = 16 mod 17 (17)	8 (500K) 22 (500K) 94 (500K)	166 (432000) 136 (57948) 24 (17867) 170 (12345) 46 (2044) 154 (1178) 124 (606) 70 (262) 76 (248) 48 (158)
444	179	5, 89		k = = 442 mod 443 (443)	46 (500K) 111 (500K)	88 (122491) 41 (22682) 106 (9800) 53 (3295) 121 (1950) 8 (1247) 21 (872) 76 (532) 81 (364) 68 (270)
445	14986	7, 13, 727		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 36 mod 37 (37)	42 k's remaining at n=100K. See k's at Sierpinski Base 445 remain.	9306 (96393) 9910 (90591) 5326 (87980) 12828 (75399) 12066 (54702) 10228 (52935) 1998 (47925) 10254 (47320) 8532 (46763) 7552 (40843)
446	148	3, 149		k = = 4 mod 5 (5) k = = 88 mod 89 (89)	52 (300K) 53 (300K) 98 (300K) 115 (300K) 120 (300K) 136 (300K)	67 (121154) 70 (89454) 143 (55765) 107 (20379) 145 (17512) 46 (890) 146 (645) 125 (505) 76 (398) 103 (352)	k = 1 is a GFn with no known prime.
447	204	5, 7, 29		k = = 1 mod 2 (2) k = = 222 mod 223 (223)	86 (500K) 148 (500K)	202 (60143) 146 (37159) 132 (36439) 96 (32360) 106 (30608) 174 (10619) 144 (2323) 188 (857) 92 (160) 64 (158)
448	139191	5, 137, 449		k = = 2 mod 3 (3) k = = 148 mod 149 (149)	961 k's remaining at n=25K. See k's at Sierpinski Base 448 remain.	81789 (24957) 115471 (24916) 50088 (24826) 90709 (24787) 18118 (24763) 94239 (24742) 109192 (24676) 82504 (24543) 130977 (24525) 75651 (24437)
449	4	3, 5		k = = 1 mod 2 (2) k = = 6 mod 7 (7)	none - proven	2 (435)
450	122	11, 41		k = = 448 mod 449 (449)	87 (600K)	109 (31885) 54 (6981) 45 (2676) 110 (2217) 61 (1024) 67 (770) 38 (683) 83 (518) 115 (141) 89 (130)	k = 1 is a GFn with no known prime.
451	97068	7, 13, 79, 113		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	104 k's remaining at n=100K. See k's at Sierpinski Base 451 remain.	27516 (96417) 90388 (95078) 51640 (89803) 57886 (88923) 32868 (88020) 63660 (85642) 64012 (84696) 6166 (84519) 42052 (82269) 14026 (80809)
452	152	3, 151		k = = 10 mod 11 (11) k = = 40 mod 41 (41)	23 (300K) 37 (300K) 41 (300K) 68 (300K) 96 (300K) 101 (300K) 124 (300K) 136 (300K)	151 (61688) 4 (14154) 128 (7893) 75 (3587) 91 (3496) 115 (2266) 31 (1516) 62 (1411) 85 (1236) 71 (1203)
453	4863476	5, 227, 20521		k = = 1 mod 2 (2) k = = 112 mod 113 (113)	100879 k's remaining at n=2.5K. To be shown later.	4544168 (2500) 4417450 (2500) 4201646 (2500) 4000406 (2500) 3948610 (2500) 3388200 (2500) 3050648 (2500) 2458860 (2500) 2132898 (2500) 2028692 (2500)
454	6	5, 7		k = = 2 mod 3 (3) k = = 150 mod 151 (151)	none - proven	4 (3) 3 (2)	k = 1 is a GFn with no known prime.
455	20	3, 19		k = = 1 mod 2 (2) k = = 226 mod 227 (227)	none - proven	14 (1679) 8 (13) 12 (11) 16 (6) 10 (4) 4 (2) 18 (1) 6 (1) 2 (1)
456	14836963	269, 457, 773		k = = 4 mod 5 (5) k = = 6 mod 7 (7) k = = 12 mod 13 (13)	51825 k's remaining at n=2.5K. To be shown later.	14703278 (2500) 14131216 (2500) 12292077 (2500) 12247287 (2500) 11714270 (2500) 11183177 (2500) 10358955 (2500) 8188646 (2500) 8011733 (2500) 7668482 (2500)
457	84958	5, 17, 89, 229		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 18 mod 19 (19)	422 k's remaining at n=25K. See k's at Sierpinski Base 457 remain.	74268 (24993) 48072 (24122) 10038 (24056) 46408 (23922) 40708 (23321) 35038 (22806) 24256 (22747) 4332 (22607) 37584 (22390) 29424 (22266)
458	16	3, 17		k = = 456 mod 457 (457)	none - proven	13 (306196) 10 (5952) 3 (107) 2 (105) 14 (79) 4 (66) 12 (13) 8 (11) 5 (7) 7 (6)	k = 1 is a GFn with no known prime.
459	24	5, 23		k = = 1 mod 2 (2) k = = 228 mod 229 (229)	none - proven	16 (30) 6 (10) 12 (3) 4 (3) 22 (1) 20 (1) 18 (1) 14 (1) 10 (1) 8 (1)
460	37803	13, 41, 461		k = = 2 mod 3 (3) k = = 16 mod 17 (17)	75 k's remaining at n=100K. See k's at Sierpinski Base 460 remain.	24273 (93772) 22662 (84216) 35505 (81439) 32427 (80544) 1117 (79130) 35064 (74195) 4506 (73296) 4411 (68018) 13114 (67128) 17344 (67045)	k = 460 is a GFn with no known prime.
461	8	3, 7		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 22 mod 23 (23)	2 (600K)	6 (1)
462	6880642	5, 13, 73, 373, 463		k = = 460 mod 461 (461)	123504 k's remaining at n=2.5K. To be shown later.	6508000 (2500) 6383896 (2500) 5644032 (2500) 5637852 (2500) 5610546 (2500) 5604935 (2500) 5566091 (2500) 5438712 (2500) 5220801 (2500) 4930826 (2500)	k = 462 and 213444 are GFn's with no known prime.
463	1188	5, 13, 29		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 10 mod 11 (11)	616 (500K) 1072 (500K)	30 (43298) 436 (43228) 178 (42858) 684 (22942) 1152 (6772) 574 (2953) 1068 (964) 438 (406) 768 (296) 840 (247)
464	4	3, 5		k = = 462 mod 463 (463)	none - proven	3 (2) 2 (1)
465	78056	7, 13, 233, 337		k = = 1 mod 2 (2) k = = 28 mod 29 (29)	127 k's remaining at n=100K. See k's at Sierpinski Base 465 remain.	17822 (98145) 53838 (96113) 14612 (94883) 57474 (88244) 77494 (85597) 74802 (84919) 1094 (82546) 51086 (78670) 64874 (78048) 6618 (76985)
466	6492	7, 43, 241		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 30 mod 31 (31)	222 (300K) 321 (300K) 556 (300K) 1077 (300K) 1272 (300K) 1867 (300K) 3783 (300K) 4252 (300K) 4296 (300K) 4786 (300K) 5326 (300K) 5370 (300K) 6072 (300K) 6102 (300K) 6256 (300K) 6345 (300K)	6070 (273937) 2826 (58289) 4737 (57300) 3076 (54058) 4780 (52720) 5437 (43209) 6060 (40601) 730 (33269) 3421 (32222) 3498 (28329)
467	8	3, 5, 7, 19, 37		k = = 1 mod 2 (2) k = = 232 mod 233 (233)	4 (1M)	2 (126775) 6 (1)
468	202	7, 67		k = = 466 mod 467 (467)	97 (1.186M)	188 (535963) 29 (232718) 191 (78529) 160 (63873) 120 (48842) 183 (18276) 172 (11834) 20 (11537) 197 (7378) 128 (6759)	k = 1 is a GFn with no known prime.
469	46	5, 47		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 12 mod 13 (13)	none - proven	22 (26) 34 (7) 40 (6) 6 (6) 36 (4) 28 (3) 16 (2) 42 (1) 30 (1) 24 (1)
470	158	3, 157		k = = 6 mod 7 (7) k = = 66 mod 67 (67)	none - proven	32 (683151) 136 (159762) 16 (88936) 64 (63338) 91 (6500) 4 (5218) 85 (4092) 82 (2978) 122 (1021) 112 (1006)
471	4562	7, 13, 31, 37		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 46 mod 47 (47)	1046 (300K) 1170 (300K) 1592 (300K) 2378 (300K) 2768 (300K) 2818 (300K) 2890 (300K) 2922 (300K) 3526 (300K) 3768 (300K) 4072 (300K) 4378 (300K)	1700 (196669) 2560 (158236) 3652 (106792) 4098 (81150) 3722 (67209) 2430 (53443) 2740 (43077) 1882 (22465) 4560 (20925) 3482 (16508)
472	87	11, 43		k = = 2 mod 3 (3) k = = 156 mod 157 (157)	21 (500K) 67 (500K)	55 (2848) 82 (479) 54 (199) 63 (137) 79 (94) 12 (80) 34 (74) 51 (59) 76 (25) 33 (25)
473	8	3, 5, 13		k = = 1 mod 2 (2) k = = 58 mod 59 (59)	none - proven	6 (5) 4 (2) 2 (1)
474	39	5, 19		k = = 10 mod 11 (11) k = = 42 mod 43 (43)	none - proven	16 (1778) 18 (483) 34 (129) 26 (126) 4 (51) 20 (26) 31 (14) 36 (10) 25 (10) 6 (8)
475	288	7, 17		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 78 mod 79 (79)	none - proven	34 (1387) 204 (1004) 190 (802) 76 (249) 216 (239) 202 (151) 22 (142) 118 (119) 184 (53) 16 (47)
476	52	3, 53		k = = 4 mod 5 (5) k = = 18 mod 19 (19)	28 (600K)	7 (42) 33 (16) 47 (15) 41 (11) 45 (10) 15 (10) 40 (8) 8 (7) 21 (6) 48 (4)
477	78152	5, 61, 239		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 16 mod 17 (17)	168 k's remaining at n=100K. See k's at Sierpinski Base 477 remain.	31796 (97796) 68026 (96248) 5532 (95712) 18888 (94118) 22846 (92569) 9136 (89760) 24822 (89714) 76106 (87085) 69736 (86316) 22954 (86095)
478	523069	5, 17, 41, 479		k = = 2 mod 3 (3) k = = 52 mod 53 (53)	17110 k's remaining at n=2.5K. To be shown later.	307111 (2500) 130543 (2500) 447745 (2499) 87094 (2499) 463786 (2497) 321676 (2496) 81000 (2495) 99588 (2494) 48424 (2494) 380481 (2493)
479	4	3, 5		k = = 1 mod 2 (2) k = = 238 mod 239 (239)	none - proven	2 (3)
480	38	13, 37		k = = 478 mod 479 (479)	12 (600K)	36 (3165) 13 (50) 5 (29) 14 (18) 27 (14) 2 (8) 23 (7) 22 (7) 21 (6) 25 (5)	k = 1 is a GFn with no known prime.
481	11680548	7, 109, 241, 709		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	46637 k's remaining at n=2.5K. To be shown later.	12 (45940) 10297996 (2500) 10129498 (2500) 9858696 (2500) 9720612 (2500) 9609132 (2500) 9133660 (2500) 9112426 (2500) 7911538 (2500) 7313752 (2500)
482	8	3, 7		k = = 12 mod 13 (13) k = = 36 mod 37 (37)	none - proven	4 (30690) 2 (11) 6 (3) 7 (2) 5 (1) 3 (1)	k = 1 is a GFn with no known prime.
483	32	5, 11, 41		k = = 1 mod 2 (2) k = = 240 mod 241 (241)	none - proven	8 (8680) 6 (153) 18 (14) 26 (8) 16 (4) 30 (3) 28 (2) 12 (2) 24 (1) 22 (1)
484	96	5, 97		k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 22 mod 23 (23)	none - proven	54 (69515) 21 (1060) 78 (864) 36 (204) 84 (103) 15 (57) 30 (41) 39 (33) 88 (27) 66 (24)	k = 1 is a GFn with no known prime.
485	3344	3, 7, 13, 223		k = = 1 mod 2 (2) k = = 10 mod 11 (11)	67 k's remaining at n=100K. See k's at Sierpinski Base 485 remain.	1096 (96988) 3296 (83623) 850 (83154) 244 (65630) 2442 (64966) 1786 (64032) 38 (63059) 1942 (62882) 1252 (62248) 1336 (52796)
486	301941	7, 19, 223, 487		k = = 4 mod 5 (5) k = = 96 mod 97 (97)	2844 k's remaining at n=10K. See k's at Sierpinski Base 486 remain.	203222 (9997) 293691 (9976) 198321 (9970) 248177 (9958) 24528 (9952) 182883 (9930) 84758 (9929) 69447 (9916) 50235 (9901) 109876 (9886)	k = 486 and 236196 are GFn's with no known prime.
487	6772	7, 13, 19, 37, 61		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	42 k's remaining at n=100K. See k's at Sierpinski Base 487 remain.	5806 (83469) 804 (78502) 306 (72072) 1402 (59559) 6334 (59551) 346 (56445) 286 (55313) 820 (52051) 3454 (50815) 556 (47551)
488	164	3, 163		k = = 486 mod 487 (487)	8 (300K) 106 (300K) 122 (300K) 128 (300K) 139 (300K) 145 (300K)	141 (150192) 35 (58539) 31 (30060) 107 (23797) 154 (16642) 77 (8917) 150 (7165) 34 (6982) 19 (6798) 16 (5608)
489	6	5, 7		k = = 2 mod 3 (3) k = = 60 mod 61 (61)	none - proven	4 (5) 2 (2)
490	15123	13, 31, 199		k = = 2 mod 3 (3) k = = 162 mod 163 (163)	29 k's remaining at n=100K. See k's at Sierpinski Base 490 remain.	6075 (82357) 11496 (81141) 7708 (51506) 15010 (50571) 14619 (50449) 12321 (42008) 12555 (41726) 285 (40033) 9697 (37271) 2482 (37159)
491	40	3, 41		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	none - proven	26 (767) 32 (41) 36 (13) 38 (11) 22 (10) 28 (4) 10 (4) 16 (2) 12 (2) 30 (1)
492	86	17, 29		k = = 490 mod 491 (491)	69 (600K)	10 (42842) 31 (30359) 50 (11445) 54 (6883) 33 (381) 47 (366) 48 (304) 28 (277) 52 (246) 18 (202)
493	324	13, 19		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 40 mod 41 (41)	18 (300K) 64 (300K) 66 (300K) 118 (300K) 142 (300K)	144 (26030) 298 (9247) 132 (4809) 168 (1751) 210 (244) 318 (192) 282 (162) 262 (142) 184 (70) 216 (64)
494	4	3, 5		k = = 16 mod 17 (17) k = = 28 mod 29 (29)	none - proven	2 (21) 3 (1)
495	692446	17, 31, 41, 101		k = = 2 mod 3 (3) k = = 12 mod 13 (13) k = = 18 mod 19 (19)	1247 k's remaining at n=25K. See k's at Sierpinski Base 495 remain.	439206 (24967) 403682 (24830) 352688 (24720) 215170 (24611) 265266 (24595) 657698 (24496) 13112 (24491) 418158 (24483) 113756 (24481) 90798 (24383)
496	141	7, 71		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 10 mod 11 (11)	none - proven	15 (44172) 27 (551) 97 (259) 127 (208) 118 (31) 85 (22) 36 (22) 72 (20) 135 (12) 96 (11)
497	16	3, 5, 17		k = = 1 mod 2 (2) k = = 30 mod 31 (31)	8 (600K)	4 (1898) 2 (1339) 6 (169) 12 (4) 10 (4) 14 (1)
498	7983	5, 257, 499		k = = 6 mod 7 (7) k = = 70 mod 71 (71)	45 k's remaining at n=100K. See k's at Sierpinski Base 498 remain.	4054 (96131) 5556 (92092) 7439 (78874) 298 (73851) 5694 (72499) 4779 (71567) 2042 (70742) 7021 (70024) 5033 (58711) 6508 (58232)
499	2124	5, 13, 61		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 82 mod 83 (83)	136 (100K) 174 (100K) 208 (100K) 216 (100K) 294 (100K) 306 (100K) 406 (100K) 586 (100K) 846 (100K) 936 (100K) 948 (100K) 1026 (100K) 1042 (100K) 1074 (100K) 1354 (100K) 1384 (100K) 1414 (100K) 1474 (100K) 1546 (100K) 1806 (100K) 1906 (100K) 1944 (100K) 2008 (100K)	246 (81050) 1494 (78183) 1984 (70797) 1636 (46992) 1714 (39275) 1158 (30143) 754 (29709) 636 (22822) 606 (19962) 1018 (17765)
500	166	3, 167		k = = 498 mod 499 (499)	22 (300K) 24 (300K) 52 (300K) 64 (300K) 65 (300K) 92 (300K) 116 (300K) 151 (300K) 160 (300K) 164 (300K)	83 (145465) 29 (25213) 62 (5515) 94 (4492) 124 (2820) 145 (2588) 54 (2169) 7 (1996) 106 (1664) 60 (1123)	k = 1 is a GFn with no known prime.
501	278	7, 19, 31		k = = 1 mod 2 (2) k = = 4 mod 5 (5)	none - proven	192 (116124) 12 (20139) 208 (5882) 26 (1251) 138 (351) 230 (329) 250 (315) 96 (257) 66 (244) 40 (195)
502	8832	5, 7, 13, 61, 73		k = = 2 mod 3 (3) k = = 166 mod 167 (167)	89 k's remaining at n=100K. See k's at Sierpinski Base 502 remain.	7447 (90086) 6441 (88783) 7852 (85644) 8737 (81775) 5238 (81370) 2766 (75500) 4023 (70853) 1501 (65459) 4744 (61537) 7012 (58954)	k = 502 is a GFn with no known prime.
503	8	3, 7		k = = 1 mod 2 (2) k = = 250 mod 251 (251)	none - proven	4 (714) 2 (9) 6 (1)
504	201	5, 101		k = = 502 mod 503 (503)	79 (300K) 94 (300K) 116 (300K)	76 (107254) 166 (61354) 121 (8792) 69 (5899) 91 (5494) 171 (3102) 26 (1998) 89 (1603) 36 (1522) 86 (630)
505	208	11, 23		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7)	none - proven	186 (31199) 190 (164) 100 (134) 166 (60) 30 (41) 78 (30) 136 (18) 24 (14) 126 (11) 88 (11)
506	25	3, 13		k = = 4 mod 5 (5) k = = 100 mod 101 (101)	none - proven	16 (1066) 11 (269) 22 (22) 20 (11) 7 (6) 23 (3) 17 (3) 3 (3) 13 (2) 10 (2)
507	1142	5, 97, 127		k = = 1 mod 2 (2) k = = 10 mod 11 (11) k = = 22 mod 23 (23)	380 (300K) 702 (300K) 984 (300K)	292 (142979) 360 (21897) 478 (14561) 734 (5581) 862 (5302) 936 (3996) 924 (3862) 1010 (3256) 872 (2310) 818 (1221)
508	601128	5, 7, 37, 73, 509		k = = 2 mod 3 (3) k = = 12 mod 13 (13)	14811 k's remaining at n=2.5K. To be shown later.	331305 (2500) 128433 (2500) 416908 (2498) 392328 (2498) 501451 (2497) 113341 (2497) 520851 (2496) 502407 (2496) 487182 (2496) 79917 (2496)
509	4	3, 5		k = = 1 mod 2 (2) k = = 126 mod 127 (127)	none - proven	2 (1)
510	218	7, 73		k = = 508 mod 509 (509)	57 (500K) 195 (500K)	148 (3310) 17 (1740) 30 (804) 113 (550) 129 (548) 90 (409) 169 (220) 141 (206) 31 (184) 190 (172)
513	45828	7, 139, 271		k = = 1 mod 2 (2)	446 k's remaining at n=25K. See k's at Sierpinski Base 513 remain.	14474 (24795) 6774 (24793) 2298 (24767) 40424 (24629) 42804 (24470) 4974 (24455) 23210 (24148) 28188 (24035) 33596 (23907) 25774 (23737)
514	411	5, 103		k = = 2 mod 3 (3) k = = 18 mod 19 (19)	96 (500K) 99 (500K) 211 (500K) 271 (500K) 289 (500K) 309 (500K) 321 (500K) 381 (500K)	249 (29583) 54 (18905) 79 (9431) 276 (5160) 199 (4951) 273 (4048) 301 (2096) 82 (2022) 387 (1940) 109 (1893)	k = 1 is a GFn with no known prime.
515	44	3, 43		k = = 1 mod 2 (2) k = = 490 mod 491 (491)	none - proven	26 (2477) 42 (1331) 22 (254) 12 (186) 4 (122) 16 (94) 24 (37) 40 (12) 8 (11) 10 (4)
516	142	11, 47		k = = 4 mod 5 (5) k = = 102 mod 103 (103)	122 (600K)	93 (1993) 140 (1401) 108 (115) 100 (86) 25 (83) 127 (74) 17 (54) 88 (33) 30 (31) 48 (28)
517	36	7, 37		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 42 mod 43 (43)	none - proven	22 (10) 12 (8) 18 (5) 6 (3) 28 (2) 34 (1) 30 (1) 24 (1) 16 (1) 10 (1)
518	172	3, 173		k = = 10 mod 11 (11) k = = 46 mod 47 (47)	68 (300K) 83 (300K) 107 (300K) 167 (300K)	128 (293315) 16 (41876) 52 (28950) 91 (18940) 8 (11767) 44 (6703) 129 (5335) 2 (4453) 31 (3752) 64 (3526)	k = 1 is a GFn with no known prime.
519	14	5, 13		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 36 mod 37 (37)	none - proven	4 (1425) 10 (34) 12 (1) 8 (1) 2 (1)
520	1006	7, 19, 97		k = = 2 mod 3 (3) k = = 172 mod 173 (173)	369 (1M)	373 (342177) 880 (12438) 663 (8581) 157 (4854) 838 (3120) 810 (2329) 948 (2027) 432 (1134) 703 (1119) 31 (876)	k = 520 is a GFn with no known prime.
521	28	3, 29		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 12 mod 13 (13)	none - proven	20 (301) 10 (42) 26 (9) 2 (9) 8 (5) 6 (4) 18 (3) 22 (2) 16 (2)
522	32644	5, 7, 13, 31, 43		k = = 520 mod 521 (521)	781 k's remaining at n=25K. See k's at Sierpinski Base 522 remain.	6 (52603) 15167 (24908) 11161 (24769) 16741 (24637) 13607 (24488) 8692 (24368) 9596 (24203) 26774 (24122) 5157 (24044) 16456 (24037)	k = 522 is a GFn with no known prime.
523	10872	7, 13, 43, 131		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 28 mod 29 (29)	45 k's remaining at n=100K. See k's at Sierpinski Base 523 remain.	3694 (81154) 3792 (80629) 8884 (77166) 10362 (66513) 688 (66286) 888 (66056) 9898 (63512) 4416 (60043) 8448 (59091) 7102 (55236)
524	4	3, 5		k = = 522 mod 523 (523)	none - proven	3 (2) 2 (1)	k = 1 is a GFn with no known prime.
525	8639814	13, 263, 10601		k = = 1 mod 2 (2) k = = 130 mod 131 (131)	54690 k's remaining at n=2.5K. To be shown later.	6299960 (2500) 5495304 (2500) 4222476 (2500) 3612414 (2500) 2408498 (2500) 664266 (2500) 629916 (2500) 629692 (2500) 7984138 (2499) 7778308 (2499)
526	373	17, 31		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	none - proven	123 (3435) 186 (2927) 340 (401) 210 (262) 28 (223) 30 (191) 337 (126) 205 (120) 105 (89) 292 (68)
527	10	3, 11		k = = 1 mod 2 (2) k = = 262 mod 263 (263)	none - proven	2 (23) 4 (2) 8 (1) 6 (1)
528	116	5, 13, 23		k = = 16 mod 17 (17) k = = 30 mod 31 (31)	none - proven	64 (10186) 113 (618) 24 (334) 72 (333) 42 (261) 11 (248) 27 (97) 28 (88) 65 (74) 21 (48)	k = 1 is a GFn with no known prime.
529	972	7, 13, 79		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 10 mod 11 (11)	244 (394K) 376 (394K) 394 (394K) 426 (394K) 454 (394K) 544 (394K) 634 (394K) 906 (394K) 936 (394K)	810 (113679) 922 (94889) 184 (59607) 264 (24831) 342 (12082) 696 (5506) 766 (4318) 850 (2799) 444 (2641) 174 (1753)
530	58	3, 59		k = = 22 mod 23 (23)	14 (300K) 52 (300K)	31 (74898) 40 (124) 13 (98) 39 (84) 9 (51) 55 (50) 5 (29) 23 (19) 53 (17) 35 (17)	k = 1 is a GFn with no known prime.
531	20	7, 19		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 52 mod 53 (53)	none - proven	18 (43) 8 (28) 10 (17) 16 (10) 12 (1) 6 (1) 2 (1)
532	40	13, 41		k = = 2 mod 3 (3) k = = 58 mod 59 (59)	none - proven	37 (1331) 6 (9) 10 (7) 36 (5) 33 (4) 22 (4) 25 (3) 24 (3) 19 (3) 12 (3)
533	88	3, 89		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 18 mod 19 (19)	38 (400K) 64 (400K)	16 (7932) 40 (840) 52 (212) 8 (79) 44 (33) 14 (27) 66 (25) 28 (18) 2 (17) 32 (13)
534	106	5, 107		k = = 12 mod 13 (13) k = = 40 mod 41 (41)	104 (600K)	34 (117941) 24 (72261) 94 (21245) 19 (11311) 76 (9502) 13 (6760) 57 (718) 11 (688) 21 (618) 75 (405)	k = 1 is a GFn with no known prime.
535	4653216	7, 61, 67, 40813		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 88 mod 89 (89)	35050 k's remaining at n=2.5K. To be shown later.	4498902 (2500) 3907806 (2500) 3237924 (2500) 2956032 (2500) 2891940 (2500) 2570110 (2500) 1884984 (2500) 1632000 (2500) 197220 (2500) 4402750 (2499)
536	178	3, 179		k = = 4 mod 5 (5) k = = 106 mod 107 (107)	13 (500K) 75 (500K)	81 (493229) 71 (169461) 32 (44419) 26 (36623) 77 (35657) 145 (26684) 97 (22426) 43 (20154) 5 (8789) 67 (2724)
537	176734	5, 7, 13, 109, 269		k = = 1 mod 2 (2) k = = 66 mod 67 (67)	2347 k's remaining at n=10K. See k's at Sierpinski Base 537 remain.	82700 (9963) 24480 (9946) 141236 (9939) 136608 (9936) 100624 (9935) 97900 (9923) 117342 (9916) 37096 (9899) 146910 (9893) 1304 (9874)
538	27	5, 7, 73		k = = 2 mod 3 (3) k = = 178 mod 179 (179)	none - proven	22 (1534) 13 (367) 3 (14) 18 (4) 24 (3) 15 (2) 12 (2) 9 (2) 25 (1) 21 (1)	k = 1 is a GFn with no known prime.
539	4	3, 5		k = = 1 mod 2 (2) k = = 268 mod 269 (269)	none - proven	2 (7)
540	1091739	17, 541, 1009		k = = 6 mod 7 (7) k = = 10 mod 11 (11)	2632 k's remaining at n=10K. See k's at Sierpinski Base 540 remain.	566289 (10000) 65445 (9997) 324095 (9992) 364598 (9987) 149697 (9987) 998687 (9984) 151301 (9981) 505043 (9977) 679792 (9972) 628358 (9972)
541	15253776	13, 271, 11257		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	120506 k's remaining at n=2.5K. To be shown later.	14911560 (2500) 14855220 (2500) 13835050 (2500) 13762366 (2500) 13045738 (2500) 12347766 (2500) 12284602 (2500) 12199662 (2500) 11403880 (2500) 11242420 (2500)
542	32	3, 5, 41		k = = 540 mod 541 (541)	2 (500K) 13 (500K)	19 (18950) 4 (15982) 11 (4909) 29 (859) 16 (364) 27 (334) 30 (156) 25 (116) 15 (109) 22 (98)
543	6478	7, 13, 17, 19		k = = 1 mod 2 (2) k = = 270 mod 271 (271)	96 k's remaining at n=100K. See k's at Sierpinski Base 543 remain.	798 (96135) 4350 (95038) 4514 (83623) 3280 (81575) 5616 (81047) 3660 (77360) 3160 (69334) 6240 (67126) 3792 (63578) 4274 (62891)
544	64	5, 7, 19, 37		k = = 2 mod 3 (3) k = = 180 mod 181 (181)	none - proven	9 (4705) 61 (1002) 6 (278) 31 (258) 40 (141) 49 (71) 4 (39) 30 (26) 42 (25) 39 (23)
545	8	3, 7		k = = 1 mod 2 (2) k = = 16 mod 17 (17)	none - proven	4 (558) 6 (1) 2 (1)
547	1658658	5, 41, 113, 137		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 12 mod 13 (13)	5063 k's remaining at n=10K. See k's at Sierpinski Base 547 remain.	599232 (9990) 17400 (9984) 1521282 (9982) 776332 (9982) 395032 (9964) 589024 (9958) 1378876 (9956) 377394 (9954) 217962 (9950) 910912 (9947)
548	16	3, 5, 17		k = = 546 mod 547 (547)	none - proven	8 (5311) 6 (115) 13 (22) 10 (12) 3 (6) 7 (4) 4 (2) 15 (1) 14 (1) 12 (1)
549	34	5, 11		k = = 1 mod 2 (2) k = = 136 mod 137 (137)	none - proven	30 (35) 22 (31) 6 (20) 2 (14) 16 (12) 4 (9) 20 (3) 10 (3) 26 (2) 12 (2)
550	115	19, 29		k = = 2 mod 3 (3) k = = 60 mod 61 (61)	94 (600K)	75 (5841) 88 (134) 33 (90) 54 (48) 24 (45) 48 (25) 61 (21) 3 (16) 55 (11) 82 (9)
551	22	3, 23		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 10 mod 11 (11)	none - proven	16 (20) 20 (13) 18 (3) 12 (3) 8 (1) 6 (1) 2 (1)
552	78	7, 79		k = = 18 mod 19 (19) k = = 28 mod 29 (29)	none - proven	26 (22956) 43 (8714) 36 (2004) 50 (1530) 19 (1010) 61 (649) 8 (508) 64 (158) 14 (63) 77 (43)	k = 1 is a GFn with no known prime.
553	1938	5, 53, 277		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 22 mod 23 (23)	94 (300K) 172 (300K) 688 (300K) 1602 (300K)	372 (73872) 1852 (52517) 984 (36330) 1498 (32100) 796 (20335) 1168 (11202) 1458 (8068) 1116 (7228) 1018 (5404) 282 (2749)
554	4	3, 5		k = = 6 mod 7 (7) k = = 78 mod 79 (79)	none - proven	3 (1) 2 (1)
555	32388	139, 233, 661		k = = 1 mod 2 (2) k = = 276 mod 277 (277)	132 k's remaining at n=100K. See k's at Sierpinski Base 555 remain.	28192 (98858) 22728 (94729) 11080 (93907) 27078 (89948) 31840 (88590) 14986 (85883) 13166 (84038) 23502 (84036) 26318 (82983) 28558 (80460)
556	3353698	7, 13, 557, 3391		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 36 mod 37 (37)	32274 k's remaining at n=2.5K. To be shown later.	1938673 (2500) 948756 (2500) 561532 (2500) 2268556 (2499) 2139952 (2499) 1602768 (2499) 1460175 (2499) 973497 (2499) 943011 (2499) 673357 (2499)
557	16	3, 5, 17		k = = 1 mod 2 (2) k = = 138 mod 139 (139)	none - proven	12 (50) 2 (19) 10 (18) 14 (17) 4 (10) 8 (1) 6 (1)
558	259	13, 43		k = = 556 mod 557 (557)	8 (300K) 183 (300K) 198 (300K)	118 (261698) 224 (34435) 174 (28067) 249 (10239) 144 (7622) 62 (4949) 73 (4751) 142 (4297) 42 (3529) 51 (3441)	k = 1 is a GFn with no known prime.
559	6	5, 7		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 30 mod 31 (31)	none - proven	4 (1)
560	10	3, 11		k = = 12 mod 13 (13) k = = 42 mod 43 (43)	none - proven	4 (590) 2 (5) 9 (3) 7 (2) 3 (2) 8 (1) 6 (1) 5 (1)
561	6290186	37, 281, 4253		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	7027 k's remaining at n=6.175K. To be shown later.	5213332 (6173) 4307280 (6173) 1221868 (6172) 3981406 (6171) 1360200 (6171) 4879002 (6169) 1741880 (6168) 5021802 (6166) 5421848 (6165) 4805718 (6165)
562	12	7, 13, 19		k = = 2 mod 3 (3) k = = 10 mod 11 (11) k = = 16 mod 17 (17)	none - proven	7 (7) 3 (6) 4 (2) 9 (1) 6 (1)
563	12	5, 7, 13, 19, 29		k = = 1 mod 2 (2) k = = 280 mod 281 (281)	none - proven	4 (3958) 6 (303) 2 (81) 8 (7) 10 (6)
564	114	5, 113		k = = 562 mod 563 (563)	68 (500K) 79 (500K)	29 (326765) 106 (175330) 107 (42025) 109 (30771) 112 (8205) 73 (3297) 86 (3130) 83 (856) 44 (535) 47 (233)	k = 1 is a GFn with no known prime.
565	8472	7, 13, 37, 67, 229		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 46 mod 47 (47)	1146 (300K) 1942 (300K) 2416 (300K) 3684 (300K) 4192 (300K) 5376 (300K) 5872 (300K) 6462 (300K) 7132 (300K) 7266 (300K) 7570 (300K) 7642 (300K) 8040 (300K)	6510 (245490) 6844 (219383) 360 (108195) 2284 (99835) 1920 (68974) 7648 (58824) 8136 (55996) 616 (41311) 1914 (34320) 2256 (28984)
566	8	3, 7		k = = 4 mod 5 (5) k = = 112 mod 113 (113)	none - proven	5 (35) 7 (10) 6 (3) 2 (3) 3 (1)
567	924	5, 13, 71		k = = 1 mod 2 (2) k = = 282 mod 283 (283)	none - proven	212 (98259) 704 (88673) 902 (14194) 424 (13083) 506 (9217) 252 (8956) 876 (7297) 78 (4789) 804 (4382) 898 (4297)
568	23328	5, 29, 569		k = = 2 mod 3 (3) k = = 6 mod 7 (7)	86 k's remaining at n=100K. See k's at Sierpinski Base 568 remain.	8956 (96517) 3666 (85165) 13660 (82952) 12052 (80318) 10308 (79159) 16222 (78098) 16741 (77448) 2742 (77198) 4789 (77174) 9172 (76649)
569	4	3, 5		k = = 1 mod 2 (2) k = = 70 mod 71 (71)	none - proven	2 (29)
570	2972056	7, 13, 61, 271, 571		k = = 568 mod 569 (569)	56901 k's remaining at n=2.5K. To be shown later.	2917923 (2500) 2775562 (2500) 2733002 (2500) 2425552 (2500) 2385903 (2500) 2020675 (2500) 1826290 (2500) 1089073 (2500) 699849 (2500) 2676772 (2499)	k = 324900 is a GFn with no known prime.
571	12	11, 13		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 18 mod 19 (19)	none - proven	6 (7) 10 (1)
572	190	3, 191		k = = 570 mod 571 (571)	8 (300K) 19 (300K) 29 (300K) 32 (300K) 80 (300K) 109 (300K) 121 (300K) 166 (300K)	57 (235362) 92 (41699) 115 (38628) 152 (17923) 83 (16765) 31 (15576) 34 (12590) 124 (9526) 154 (5922) 172 (4068)	k = 1 is a GFn with no known prime.
573	204	7, 41		k = = 1 mod 2 (2) k = = 10 mod 11 (11) k = = 12 mod 13 (13)	106 (500K) 132 (500K) 202 (500K)	122 (4497) 172 (2556) 44 (929) 178 (631) 188 (359) 118 (359) 78 (324) 48 (99) 16 (72) 124 (62)
574	24	5, 23		k = = 2 mod 3 (3) k = = 190 mod 191 (191)	16 (600K)	15 (110) 13 (6) 22 (3) 19 (3) 12 (3) 21 (2) 6 (2) 18 (1) 10 (1) 9 (1)	k = 1 is a GFn with no known prime.
575	136582	13, 73, 349		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 40 mod 41 (41)	1823 k's remaining at n=25K. See k's at Sierpinski Base 575 remain.	7812 (24901) 32590 (24878) 100228 (24800) 78374 (24793) 31654 (24638) 129206 (24623) 134362 (24560) 14530 (24532) 133480 (24498) 115788 (24492)
576	30651	7, 13, 73, 79		k = = 4 mod 5 (5) k = = 22 mod 23 (23)	151 k's remaining at n>=100K. See k's and test limits at Sierpinski Base 576 remain.	3846 (191763) 23981 (180031) 3706 (176954) 21526 (164684) 29641 (115926) 27611 (109973) 29116 (108494) 23035 (99646) 5820 (94377) 10216 (91958)
577	664	5, 13, 17		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	132 (300K) 274 (300K) 288 (300K) 424 (300K) 426 (300K) 492 (300K)	84 (86565) 156 (26837) 106 (18716) 172 (18691) 120 (6988) 442 (4250) 616 (3504) 528 (3390) 30 (2974) 420 (2709)
578	68	3, 5, 7, 19, 37		k = = 576 mod 577 (577)	17 (300K) 31 (300K) 38 (300K)	64 (102614) 2 (44165) 61 (40892) 52 (39982) 8 (6143) 22 (5024) 20 (4177) 46 (1392) 47 (1089) 19 (950)	k = 1 is a GFn with no known prime.
579	86	5, 29		k = = 1 mod 2 (2) k = = 16 mod 17 (17)	6 (600K)	4 (67775) 78 (528) 44 (229) 24 (163) 18 (146) 46 (130) 56 (94) 2 (74) 72 (22) 76 (16)
580	414	7, 83		k = = 2 mod 3 (3) k = = 192 mod 193 (193)	none - proven	406 (22265) 183 (8364) 391 (2403) 73 (2360) 333 (1620) 294 (952) 108 (744) 78 (576) 384 (435) 118 (361)	k = 1 is a GFn with no known prime.
581	98	3, 97		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 28 mod 29 (29)	none - proven	82 (1494) 50 (533) 46 (120) 22 (54) 76 (48) 48 (37) 88 (30) 16 (24) 66 (12) 58 (8)
582	54	11, 53		k = = 6 mod 7 (7) k = = 82 mod 83 (83)	32 (600K)	52 (1567) 12 (334) 4 (299) 38 (106) 21 (75) 53 (26) 11 (23) 9 (23) 16 (19) 37 (10)
583	2994	5, 41, 73		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 96 mod 97 (97)	706 (300K) 894 (300K) 1096 (300K) 1270 (300K) 1680 (300K) 1762 (300K) 1914 (300K) 2022 (300K) 2196 (300K) 2448 (300K) 2556 (300K) 2614 (300K)	306 (179215) 528 (156444) 808 (100572) 1552 (45288) 2908 (34608) 862 (30241) 2274 (26374) 1608 (22879) 2778 (17923) 244 (13018)
584	4	3, 5		k = = 10 mod 11 (11) k = = 52 mod 53 (53)	none - proven	2 (111) 3 (1)
585	13929512	137, 293, 1249		k = = 1 mod 2 (2) k = = 72 mod 73 (73)	134076 k's remaining at n=2.5K. To be shown later.	13597884 (2500) 13235148 (2500) 12815354 (2500) 12649318 (2500) 12491656 (2500) 11649066 (2500) 10853922 (2500) 10028178 (2500) 9818812 (2500) 9434536 (2500)
586	21262902	17, 37, 89, 587		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 12 mod 13 (13)	196149 k's remaining at n=2.5K. To be shown later.	21212400 (2500) 21016413 (2500) 20948088 (2500) 20386258 (2500) 20214777 (2500) 18094411 (2500) 17768170 (2500) 17625852 (2500) 17616958 (2500) 17250678 (2500)	k = 586 and 343396 are GFn's with no known prime.
587	8	3, 7		k = = 1 mod 2 (2) k = = 292 mod 293 (293)	none - proven	6 (24119) 2 (195) 4 (2)
588	94	19, 31		k = = 586 mod 587 (587)	none - proven	90 (110728) 89 (10781) 25 (5789) 18 (911) 43 (858) 68 (210) 30 (179) 21 (123) 56 (77) 9 (77)
589	414	5, 59		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7)	none - proven	186 (14952) 178 (3190) 108 (2617) 336 (1098) 226 (952) 354 (623) 94 (611) 136 (430) 172 (221) 198 (179)
590	196	3, 197		k = = 18 mod 19 (19) k = = 30 mod 31 (31)	19 (300K) 26 (300K) 40 (300K) 64 (500K) 104 (300K) 118 (300K) 148 (300K) 157 (300K) 178 (300K) 179 (300K)	145 (201814) 194 (131743) 17 (36593) 122 (14391) 103 (9670) 95 (8541) 41 (7195) 32 (6077) 164 (5517) 187 (4224)	k = 1 is a GFn with no known prime.
591	16242	7, 37, 109, 181		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 58 mod 59 (59)	33 k's remaining at n=100K. See k's at Sierpinski Base 591 remain.	7442 (99283) 6390 (81466) 5232 (80302) 9510 (74086) 2478 (72995) 15856 (66210) 14096 (55289) 3110 (49851) 13652 (49721) 9066 (42186)
592	23721	5, 29, 593		k = = 2 mod 3 (3) k = = 196 mod 197 (197)	247 k's remaining at n=100K. See k's at Sierpinski Base 592 remain.	15468 (99036) 19867 (98006) 9 (96869) 7926 (96699) 12612 (96552) 3981 (94029) 21867 (91348) 7759 (91341) 2589 (90109) 21097 (89911)
593	10	3, 11		k = = 1 mod 2 (2) k = = 36 mod 37 (37)	4 (1M) 8 (500K)	6 (1) 2 (1)
594	6	5, 7		k = = 592 mod 593 (593)	none - proven	2 (4) 5 (1) 4 (1) 3 (1)
595	301128	13, 31, 43, 149		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 10 mod 11 (11)	90 k's remaining at n=100K. See k's at Sierpinski Base 595 remain.	284946 (98941) 250818 (93298) 26074 (89819) 157072 (87343) 168180 (87093) 151440 (85940) 250510 (74909) 114030 (71591) 130714 (70551) 59154 (69618)
596	200	3, 199		k = = 4 mod 5 (5) k = = 6 mod 7 (7) k = = 16 mod 17 (17)	136 (600K)	151 (278054) 8 (148445) 71 (124933) 121 (105308) 137 (20789) 96 (16348) 182 (4967) 145 (3970) 198 (1551) 170 (1463)
597	12	5, 13, 29		k = = 1 mod 2 (2) k = = 148 mod 149 (149)	none - proven	8 (100) 10 (3) 2 (2) 6 (1) 4 (1)
598	18568	5, 37, 599		k = = 2 mod 3 (3) k = = 198 mod 199 (199)	93 k's remaining at n=100K. See k's at Sierpinski Base 598 remain.	17023 (99335) 1294 (99243) 17007 (94820) 10383 (93327) 4224 (91174) 18109 (89186) 14172 (86544) 10144 (80094) 17803 (78174) 11112 (77789)
599	4	3, 5		k = = 1 mod 2 (2) k = = 12 mod 13 (13) k = = 22 mod 23 (23)	none - proven	2 (13)
600	1906972	7, 13, 19, 37, 601		k = = 598 mod 599 (599)	48948 k's remaining at n=2.5K. To be shown later.	12 (11241) 1528367 (2500) 1240660 (2500) 1695504 (2499) 1504520 (2499) 1418338 (2499) 1339113 (2499) 1302705 (2499) 814616 (2499) 782865 (2499)
601	216	7, 43		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	none - proven	18 (1322) 36 (844) 198 (761) 190 (428) 112 (319) 126 (196) 160 (141) 22 (68) 172 (61) 120 (34)
602	68	3, 67		k = = 600 mod 601 (601)	16 (300K) 34 (300K) 43 (300K) 49 (300K)	64 (130078) 27 (29560) 61 (20236) 32 (19527) 65 (3137) 4 (1330) 23 (817) 62 (695) 25 (316) 47 (135)	k = 1 is a GFn with no known prime.
603	1964	5, 13, 151		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 42 mod 43 (43)	122 (300K) 1072 (300K) 1358 (300K) 1962 (300K)	1286 (245567) 1396 (61512) 584 (54929) 1608 (42670) 688 (18222) 1256 (15880) 854 (14842) 1708 (13552) 556 (13309) 876 (12696)
604	21	5, 11		k = = 2 mod 3 (3) k = = 66 mod 67 (67)	none - proven	12 (17370) 16 (124) 19 (49) 15 (19) 6 (4) 18 (3) 10 (3) 3 (2) 13 (1) 9 (1)	k = 1 is a GFn with no known prime.
605	100	3, 101		k = = 1 mod 2 (2) k = = 150 mod 151 (151)	70 (600K)	10 (12394) 46 (2068) 40 (86) 30 (34) 48 (29) 8 (23) 78 (16) 66 (13) 32 (13) 96 (12)
606	50380	13, 41, 607		k = = 4 mod 5 (5) k = = 10 mod 11 (11)	171 k's remaining at n=100K. See k's at Sierpinski Base 606 remain.	45270 (97009) 47606 (96848) 39616 (95665) 44435 (94348) 4486 (92383) 48081 (89201) 46126 (88567) 35901 (85655) 16106 (85285) 47428 (84564)	k = 606 is a GFn with no known prime.
607	420034	5, 19, 7369		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 100 mod 101 (101)	5572 k's remaining at n=10K. See k's at Sierpinski Base 607 remain.	338082 (9999) 255714 (9990) 48240 (9977) 108216 (9967) 386538 (9965) 317584 (9965) 370102 (9960) 75702 (9947) 218386 (9943) 41422 (9942)
608	8	3, 7		k = = 606 mod 607 (607)	none - proven	4 (20706) 6 (9) 7 (2) 3 (2) 5 (1) 2 (1)	k = 1 is a GFn with no known prime.
609	184	5, 61		k = = 1 mod 2 (2) k = = 18 mod 19 (19)	none - proven	124 (5887) 50 (1599) 182 (421) 24 (351) 142 (118) 52 (102) 96 (78) 98 (58) 156 (56) 172 (51)
610	142	13, 47		k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 28 mod 29 (29)	none - proven	96 (396) 18 (163) 33 (57) 123 (54) 21 (51) 9 (39) 105 (38) 117 (34) 51 (25) 25 (23)
611	16	3, 17		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 60 mod 61 (61)	none - proven	6 (5) 10 (2) 12 (1) 8 (1) 2 (1)
612	162446	5, 173, 613		k = = 12 mod 13 (13) k = = 46 mod 47 (47)	2152 k's remaining at n=10K. See k's at Sierpinski Base 612 remain.	30623 (9993) 131654 (9985) 108256 (9984) 18930 (9983) 104536 (9963) 149362 (9930) 90156 (9917) 142203 (9894) 126422 (9887) 119099 (9866)	k = 612 is a GFn with no known prime.
613	1536	5, 53, 307		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 16 mod 17 (17)	328 (300K) 1294 (300K) 1438 (300K) 1504 (300K)	502 (143534) 778 (110107) 306 (75741) 916 (29363) 1006 (27959) 678 (22927) 1230 (21908) 1368 (21624) 286 (18805) 1258 (10539)
614	4	3, 5		k = = 612 mod 613 (613)	none - proven	3 (18) 2 (1)
615	34	7, 11		k = = 1 mod 2 (2) k = = 306 mod 307 (307)	none - proven	12 (976) 22 (120) 4 (13) 8 (8) 14 (5) 28 (3) 24 (2) 16 (2) 32 (1) 30 (1)
616	53061	13, 17, 617		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 40 mod 41 (41)	50 k's remaining at n=100K. See k's at Sierpinski Base 616 remain.	10323 (98019) 18747 (93948) 25765 (85583) 29695 (80413) 23778 (78240) 36262 (72284) 26196 (71883) 4212 (70740) 4948 (64121) 51633 (62524)
617	514	3, 103		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 10 mod 11 (11)	44 (300K) 124 (300K) 136 (300K) 158 (300K) 242 (300K) 484 (300K) 488 (300K)	424 (150210) 414 (46246) 70 (33760) 458 (24761) 122 (13631) 116 (9839) 420 (7744) 392 (3699) 248 (2757) 310 (2500)
618	3995	7, 37, 211		k = = 616 mod 617 (617)	49 k's remaining at n=200K. See k's at Sierpinski Base 618 remain.	3161 (199877) 1223 (193431) 111 (187244) 2369 (180975) 1649 (161163) 68 (146688) 2441 (144343) 2558 (142259) 1248 (142002) 3863 (140056)	k = 618 is a GFn with no known prime.
619	94	5, 31		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 102 mod 103 (103)	none - proven	46 (5214) 84 (1837) 24 (537) 72 (59) 60 (58) 58 (15) 64 (13) 6 (8) 78 (6) 10 (6)
620	22	3, 23		k = = 618 mod 619 (619)	12 (300K) 13 (300K)	10 (138) 17 (91) 16 (54) 11 (53) 5 (41) 4 (18) 2 (13) 19 (12) 7 (6) 8 (5)	k = 1 is a GFn with no known prime.
621	19592	29, 61, 311		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 30 mod 31 (31)	36 k's remaining at n=100K. See k's at Sierpinski Base 621 remain.	12168 (95200) 11602 (93867) 11380 (93327) 9482 (93215) 14066 (86829) 6442 (72626) 4010 (64906) 11508 (56084) 970 (54232) 1392 (49966)
622	90	7, 89		k = = 2 mod 3 (3) k = = 22 mod 23 (23)	none - proven	43 (57946) 46 (4115) 88 (577) 33 (274) 27 (155) 9 (126) 61 (69) 76 (59) 48 (49) 49 (42)	k = 1 is a GFn with no known prime.
623	14	3, 13		k = = 1 mod 2 (2) k = = 310 mod 311 (311)	none - proven	8 (467) 2 (5) 10 (2) 4 (2) 12 (1) 6 (1)
624	712899	5, 41, 9497		k = = 6 mod 7 (7) k = = 88 mod 89 (89)	23326 k's remaining at n=2.5K. To be shown later.	515336 (2500) 294081 (2500) 218389 (2499) 117574 (2499) 580706 (2498) 507131 (2498) 227291 (2498) 140061 (2498) 17491 (2498) 700624 (2497)
625	17428	7, 31, 601	All k=4q^4 for all n: let k=4q^4 and let m=q5^n; factors to: (2m^2 + 2m + 1) * (2*m^2 - 2m + 1)	k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 12 mod 13 (13)	6 (300K) 222 (175K) 2362 (300K) 5634 (300K) 6436 (1.075M) 7306 (300K) 7528 (1.075M) 9616 (300K) 10218 (300K) 10794 (300K) 10918 (1.075M) 11326 (300K) 11434 (300K) 11632 (300K) 12460 (300K) 12864 (175K) 13422 (300K) 13548 (175K) 14332 (300K) 15006 (300K) 15588 (175K) 15760 (300K) 16894 (300K)	9574 (292308) 17370 (222563) 15340 (209640) 15046 (150779) 8532 (131194) 11682 (98866) 7348 (95080) 10384 (86321) 426 (78769) 7752 (73983)	k = 4, 1024, 2500, 5184, 9604, and 16384 proven composite by full algebraic factors. Some k's are being worked on by PrimeGrid's Sierpinski/Riesel Base 5 project.
626	10	3, 11		k = = 4 mod 5 (5)	none - proven	2 (174203) 5 (2069) 6 (5) 7 (2) 8 (1) 3 (1)	k = 1 is a GFn with no known prime.
627	12354	7, 13, 4327		k = = 1 mod 2 (2) k = = 312 mod 313 (313)	84 k's remaining at n=100K. See k's at Sierpinski Base 627 remain.	1018 (84057) 12234 (77165) 8798 (76240) 3974 (74907) 4892 (68828) 6836 (67552) 2784 (64199) 2476 (62040) 7776 (60277) 11068 (59982)
628	1072	17, 37		k = = 2 mod 3 (3) k = = 10 mod 11 (11) k = = 18 mod 19 (19)	16 (300K) 295 (300K) 334 (300K) 426 (300K) 579 (300K) 889 (300K) 984 (300K)	460 (182346) 730 (55623) 798 (40367) 69 (17578) 864 (14999) 367 (13536) 1021 (13316) 387 (12638) 178 (9547) 883 (9419)
629	4	3, 5		k = = 1 mod 2 (2) k = = 156 mod 157 (157)	none - proven	2 (1)
631	8243256	79, 307, 331, 433		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	28048 k's remaining at n=2.5K. To be shown later.	7808386 (2500) 6974332 (2500) 6917836 (2500) 6104806 (2500) 4372386 (2500) 4358068 (2500) 7562466 (2499) 7309552 (2499) 6909546 (2499) 3938032 (2499)
632	8	3, 5, 13		k = = 630 mod 631 (631)	none - proven	7 (8446) 5 (321) 3 (57) 4 (14) 2 (3) 6 (1)	k = 1 is a GFn with no known prime.
633	6022	5, 17, 317		k = = 1 mod 2 (2) k = = 78 mod 79 (79)	58 k's remaining at n=100K. See k's at Sierpinski Base 633 remain.	1374 (87542) 1798 (80284) 5802 (77188) 5028 (75128) 1378 (73772) 3098 (61636) 5280 (55260) 3548 (54160) 1824 (53353) 1996 (48227)
634	126	5, 127		k = = 2 mod 3 (3) k = = 210 mod 211 (211)	75 (300K) 106 (300K)	27 (185354) 69 (92329) 121 (14936) 118 (5479) 103 (4631) 61 (2346) 66 (432) 31 (282) 9 (189) 96 (98)
635	52	3, 53		k = = 1 mod 2 (2) k = = 316 mod 317 (317)	none - proven	28 (34556) 32 (17309) 4 (11722) 2 (2535) 26 (969) 14 (911) 46 (120) 48 (63) 6 (58) 40 (28)
636	27	7, 13		k = = 4 mod 5 (5) k = = 126 mod 127 (127)	none - proven	15 (9850) 3 (141) 7 (11) 21 (8) 8 (8) 18 (5) 26 (4) 12 (3) 6 (3) 22 (2)
637	144	11, 29		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 52 mod 53 (53)	none - proven	88 (350) 64 (77) 22 (56) 70 (53) 34 (42) 132 (27) 100 (12) 142 (11) 54 (11) 138 (8)
638	70	3, 71		k = = 6 mod 7 (7) k = = 12 mod 13 (13)	32 (600K)	52 (31966) 68 (11135) 58 (2582) 50 (1713) 23 (1439) 22 (536) 7 (264) 8 (163) 16 (92) 36 (52)	k = 1 is a GFn with no known prime.
639	1664	5, 7, 19, 37		k = = 1 mod 2 (2) k = = 10 mod 11 (11) k = = 28 mod 29 (29)	146 (300K) 334 (300K) 514 (300K) 586 (300K) 796 (300K) 1566 (300K) 1646 (300K)	1006 (291952) 1174 (123735) 1426 (70836) 696 (51672) 474 (49543) 316 (47778) 124 (46587) 1102 (42119) 1336 (36734) 1526 (19748)
640	11925	7, 13, 37, 67		k = = 2 mod 3 (3) k = = 70 mod 71 (71)	39 k's remaining at n=100K. See k's at Sierpinski Base 640 remain.	7513 (97535) 11463 (91507) 11353 (86613) 11920 (83947) 3946 (79149) 595 (71001) 3264 (62967) 1167 (59827) 11886 (50825) 4339 (50427)	k = 640 is a GFn with no known prime.
641	106	3, 107		k = = 1 mod 2 (2) k = = 4 mod 5 (5)	none - proven	8 (87701) 46 (35514) 12 (26421) 82 (7080) 92 (1895) 48 (152) 80 (61) 28 (34) 40 (30) 62 (25)
642	10932	13, 17, 643		k = = 640 mod 641 (641)	206 k's remaining at n=100K. See k's at Sierpinski Base 642 remain.	2322 (99918) 6007 (99271) 3421 (98676) 612 (98131) 1481 (94923) 558 (93970) 5294 (92998) 9179 (91417) 6926 (89793) 1546 (89441)
643	22	7, 23		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 106 mod 107 (107)	none - proven	6 (164915) 10 (42) 4 (5) 18 (3) 16 (1) 12 (1)
644	4	3, 5		k = = 642 mod 643 (643)	none - proven	3 (1) 2 (1)
645	18	17, 19		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 22 mod 23 (23)	none - proven	14 (847) 8 (2) 4 (2) 16 (1) 12 (1) 10 (1) 2 (1)
646	52701	7, 13, 1531		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 42 mod 43 (43)	133 k's remaining at n=100K. See k's at Sierpinski Base 646 remain.	28558 (99075) 22963 (98906) 28552 (98539) 12247 (98155) 35598 (93747) 44446 (91199) 33955 (91099) 47883 (90333) 16800 (84501) 13485 (82533)
647	124	3, 5, 41		k = = 1 mod 2 (2) k = = 16 mod 17 (17) k = = 18 mod 19 (19)	2 (300K) 74 (300K) 100 (300K)	76 (130372) 58 (22212) 116 (7425) 98 (1857) 106 (1376) 34 (334) 122 (331) 38 (253) 86 (239) 62 (207)
648	296	11, 59		k = = 646 mod 647 (647)	56 (300K) 89 (300K) 117 (300K) 166 (300K) 199 (300K) 218 (300K)	144 (102694) 61 (54359) 34 (43670) 76 (13439) 236 (13176) 111 (10616) 234 (8359) 133 (7170) 188 (6502) 269 (4369)	k = 1 is a GFn with no known prime.
649	144	5, 13		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	64 (600K)	66 (10970) 120 (295) 16 (60) 72 (51) 40 (22) 78 (14) 124 (11) 130 (10) 114 (9) 136 (6)
650	8	3, 7		k = = 10 mod 11 (11) k = = 58 mod 59 (59)	none - proven	4 (96222) 6 (5) 7 (4) 5 (1) 3 (1) 2 (1)	k = 1 is a GFn with no known prime.
651	4541342	163, 313, 677		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 12 mod 13 (13)	13808 k's remaining at n=2.5K. To be shown later.	2882280 (2500) 2745672 (2500) 2626912 (2500) 1779056 (2500) 1489772 (2500) 1890016 (2499) 4044372 (2498) 3782168 (2498) 3477280 (2498) 1720408 (2498)
652	2491849	5, 13, 37, 43, 653		k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 30 mod 31 (31)	39920 k's remaining at n=2.5K. To be shown later.	2125356 (2500) 2098866 (2500) 1931706 (2500) 1700917 (2500) 1631025 (2500) 593622 (2500) 2302137 (2499) 2075179 (2499) 1269957 (2499) 1228497 (2499)	k = 652 and 425104 are GFn's with no known prime.
653	110	3, 109		k = = 1 mod 2 (2) k = = 162 mod 163 (163)	56 (300K) 68 (300K) 94 (300K) 108 (300K)	44 (105477) 50 (22537) 76 (16576) 106 (11128) 10 (9786) 22 (7710) 98 (5243) 46 (2808) 64 (2434) 38 (311)
654	261	5, 131		k = = 652 mod 653 (653)	29 (300K) 101 (300K) 144 (300K) 251 (300K)	219 (103409) 248 (81515) 198 (9929) 79 (9533) 106 (9196) 55 (7946) 39 (6541) 178 (3990) 185 (2292) 196 (2236)
655	6930	13, 29, 41		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 108 mod 109 (109)	32 k's remaining at n=100K. See k's at Sierpinski Base 655 remain.	3874 (98812) 6310 (93460) 4552 (87094) 888 (70525) 1438 (55746) 5550 (41357) 2476 (36566) 6804 (36200) 3688 (33061) 4006 (32470)
656	145	3, 73		k = = 4 mod 5 (5) k = = 130 mod 131 (131)	13 (300K) 26 (300K) 37 (300K) 52 (300K) 80 (300K) 85 (300K)	47 (117409) 73 (38942) 72 (31813) 125 (24631) 137 (12785) 71 (5531) 68 (2745) 28 (922) 123 (347) 22 (272)
657	48	7, 47		k = = 1 mod 2 (2) k = = 40 mod 41 (41)	none - proven	8 (2368) 32 (1688) 20 (25) 42 (16) 36 (12) 26 (8) 22 (4) 34 (3) 12 (3) 30 (2)
658	20428	5, 13, 659		k = = 2 mod 3 (3) k = = 72 mod 73 (73)	112 k's remaining at n=100K. See k's at Sierpinski Base 658 remain.	13378 (95431) 1867 (89254) 7333 (86331) 13881 (85408) 14907 (84596) 19848 (82983) 4893 (82682) 12946 (75223) 20071 (72957) 12889 (69213)	k = 658 is a GFn with no known prime.
659	4	3, 5		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 46 mod 47 (47)	none - proven	2 (1)
660	74031	37, 193, 661		k = = 658 mod 659 (659)	564 k's remaining at n=25K. See k's at Sierpinski Base 660 remain.	1881 (24994) 40143 (24939) 69788 (24781) 66777 (24766) 1986 (24651) 26281 (24413) 40316 (24410) 17694 (24238) 7588 (24228) 44399 (24171)	k = 660 is a GFn with no known prime.
662	14	3, 31		k = = 660 mod 661 (661)	none - proven	5 (13389) 6 (2839) 2 (183) 10 (154) 12 (83) 9 (6) 13 (2) 7 (2) 4 (2) 11 (1)	k = 1 is a GFn with no known prime.
663	10042	5, 83, 113		k = = 1 mod 2 (2) k = = 330 mod 331 (331)	44 k's remaining at n=100K. See k's at Sierpinski Base 663 remain.	2724 (99737) 7466 (98501) 2738 (96607) 7552 (96289) 4542 (88084) 6112 (77784) 2320 (77203) 7144 (70989) 7494 (66258) 3196 (64185)
664	6	5, 7		k = = 2 mod 3 (3) k = = 12 mod 13 (13) k = = 16 mod 17 (17)	none - proven	4 (1) 3 (1)
665	38	3, 37		k = = 1 mod 2 (2) k = = 82 mod 83 (83)	none - proven	36 (5749) 4 (1334) 20 (61) 2 (45) 32 (33) 22 (28) 28 (6) 10 (6) 8 (5) 34 (4)
666	231	23, 29		k = = 4 mod 5 (5) k = = 6 mod 7 (7) k = = 18 mod 19 (9)	none - proven	115 (2003) 88 (1612) 182 (1253) 30 (156) 106 (87) 183 (71) 42 (67) 173 (45) 95 (44) 156 (30)	k = 1 is a GFn with no known prime.
667	26218	5, 17, 167		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 36 mod 37 (37)	117 k's remaining at n=100K. See k's at Sierpinski Base 667 remain.	26026 (96907) 15486 (94695) 25776 (93668) 10680 (91855) 20082 (90103) 13068 (90029) 12358 (90014) 22900 (89541) 24156 (86761) 6660 (86088)
668	8	3, 5, 13		k = = 22 mod 23 (23) k = = 28 mod 29 (29)	none - proven	5 (379) 2 (245) 4 (62) 6 (23) 7 (8) 3 (6)	k = 1 is a GFn with no known prime.
669	66	5, 67		k = = 1 mod 2 (2) k = = 166 mod 167 (167)	none - proven	34 (6089) 6 (5450) 64 (4175) 36 (250) 40 (92) 48 (53) 54 (47) 14 (7) 2 (7) 60 (5)
670	243	11, 61		k = = 2 mod 3 (3) k = = 222 mod 223 (223)	none - proven	153 (2367) 201 (523) 120 (367) 109 (347) 151 (196) 174 (166) 100 (124) 46 (110) 130 (107) 169 (100)	k = 1 is a GFn with no known prime.
671	8	3, 7		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 66 mod 67 (67)	none - proven	2 (11) 6 (1)
672	3366	5, 37, 673		k = = 10 mod 11 (11) k = = 60 mod 61 (61)	36 (300K) 168 (300K) 829 (300K) 1076 (300K) 1141 (300K) 1273 (300K) 1453 (300K) 1804 (300K) 2263 (300K) 2279 (300K) 2458 (300K) 2818 (300K) 3267 (300K) 3364 (300K)	2018 (127129) 1018 (92322) 1747 (90016) 242 (86503) 1213 (72193) 922 (71884) 2729 (50950) 3314 (49574) 778 (48464) 2909 (47495)	k = 672 is a GFn with no known prime.
673	687142	5, 13, 19, 97, 337		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7)	3328 k's remaining at n=10K. See k's at Sierpinski Base 673 remain.	630348 (9987) 462414 (9987) 39532 (9981) 211534 (9966) 120466 (9964) 234586 (9955) 337438 (9946) 91672 (9938) 660076 (9932) 479992 (9924)
674	4	3, 5		k = = 672 mod 673 (673)	none - proven	2 (5) 3 (3)
675	293812	7, 13, 103, 181		k = = 1 mod 2 (2) k = = 336 mod 337 (337)	3017 k's remaining at n=10K. See k's at Sierpinski Base 675 remain.	96100 (9992) 248676 (9991) 151906 (9976) 264738 (9961) 94808 (9959) 161474 (9954) 27156 (9939) 217112 (9937) 142076 (9907) 42964 (9901)
676	825	7, 19, 37		k = = 2 mod 3 (3) k = = 4 mod 5 (5)	none - proven	607 (544517) 120 (48949) 640 (33255) 715 (19347) 307 (18917) 633 (7368) 138 (5757) 217 (5727) 255 (4693) 373 (3443)	k = 676 is a GFn with no known prime.
677	112	3, 113		k = = 1 mod 2 (2) k = = 12 mod 13 (13)	none - proven	34 (82642) 56 (9471) 32 (5567) 30 (1744) 52 (1140) 106 (200) 58 (134) 10 (114) 92 (103) 18 (69)
678	195	7, 97		k = = 676 mod 677 (677)	106 (600K)	132 (78513) 171 (60397) 122 (45968) 188 (25679) 29 (10818) 99 (7866) 97 (4161) 153 (1435) 120 (1266) 55 (899)	k = 1 is a GFn with no known prime.
679	16	5, 17		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 112 mod 113 (113)	none - proven	4 (69449) 12 (10) 6 (4) 10 (1)
680	226	3, 227		k = = 6 mod 7 (7) k = = 96 mod 97 (97)	43 (300K) 53 (300K) 127 (300K) 131 (300K) 199 (300K)	194 (59611) 173 (54713) 64 (10750) 47 (2217) 137 (2193) 40 (1796) 57 (1687) 154 (1672) 110 (1125) 176 (331)
681	32	11, 31		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 16 mod 17 (17)	none - proven	2 (328) 12 (22) 20 (11) 10 (9) 18 (2) 6 (2) 30 (1) 28 (1) 26 (1) 22 (1)
682	6831	5, 61, 683		k = = 2 mod 3 (3) k = = 226 mod 227 (227)	43 k's remaining at n=100K. See k's at Sierpinski Base 682 remain.	3649 (99570) 684 (97590) 2626 (84828) 6462 (81943) 477 (77584) 5407 (74947) 279 (52707) 6772 (51635) 2286 (40815) 5202 (40250)
683	20	3, 19		k = = 1 mod 2 (2) k = = 10 mod 11 (11) k = = 30 mod 31 (31)	none - proven	18 (141239) 8 (91) 16 (84) 14 (25) 12 (5) 4 (2) 6 (1) 2 (1)
684	86	5, 17, 29		k = = 682 mod 683 (683)	34 (300K) 41 (300K)	8 (23386) 75 (12102) 29 (3911) 31 (836) 39 (489) 19 (459) 14 (291) 54 (195) 26 (126) 49 (107)	k = 1 is a GFn with no known prime.
685	637524	7, 13, 61, 7681		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 18 mod 19 (19)	4576 k's remaining at n=10K. See k's at Sierpinski Base 685 remain.	98554 (9996) 7966 (9989) 300112 (9978) 585276 (9977) 180270 (9967) 144366 (9965) 206158 (9958) 396138 (9954) 590160 (9947) 148182 (9939)
686	230	3, 229		k = = 4 mod 5 (5) k = = 136 mod 137 (137)	116 (600K)	130 (115776) 211 (97950) 151 (13722) 32 (8867) 193 (3822) 178 (2694) 196 (1952) 218 (1141) 110 (1091) 208 (1068)
687	7956	5, 43, 109		k = = 1 mod 2 (2) k = = 6 mod 7 (7)	32 k's remaining at n=100K. See k's at Sierpinski Base 687 remain.	5502 (99392) 4600 (97735) 6892 (95391) 1678 (93460) 382 (73924) 4334 (59737) 1052 (58291) 2326 (56447) 274 (50407) 964 (46541)
688	105	13, 53		k = = 2 mod 3 (3) k = = 228 mod 229 (229)	54 (500K) 103 (500K)	67 (423893) 12 (2433) 25 (1999) 64 (1949) 40 (754) 24 (405) 96 (232) 88 (158) 19 (106) 90 (95)
689	4	3, 5		k = = 1 mod 2 (2) k = = 42 mod 43 (43)	none - proven	2 (3)
691	9449088	7, 13, 19, 173, 193		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 22 mod 23 (23)	62047 k's remaining at n=2.5K. To be shown later.	8320818 (2500) 8164752 (2500) 7892688 (2500) 5870850 (2500) 5678356 (2500) 2270098 (2500) 1913356 (2500) 1426396 (2500) 1297902 (2500) 8691706 (2499)
692	8	3, 7		k = = 690 mod 691 (691)	none - proven	4 (270) 2 (67) 7 (4) 3 (2) 6 (1) 5 (1)	k = 1 is a GFn with no known prime.
693	6592	5, 17, 347		k = = 1 mod 2 (2) k = = 172 mod 173 (173)	324 (300K) 2122 (300K) 2276 (300K) 3124 (300K) 4184 (300K) 4736 (300K) 4746 (300K) 5558 (300K) 5976 (300K) 6252 (300K) 6316 (300K) 6354 (300K)	5844 (213666) 4892 (206286) 5468 (188110) 4752 (93845) 1736 (75020) 6276 (70087) 4458 (69850) 3694 (61366) 1278 (60431) 3872 (59580)
694	1111	5, 139		k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 10 mod 11 (11)	511 (300K) 651 (300K) 655 (300K) 696 (300K) 831 (300K) 1026 (300K)	411 (119838) 1009 (116285) 1039 (77087) 759 (62631) 634 (57297) 829 (45889) 781 (42356) 885 (37580) 969 (13333) 994 (10669)	k = 1 and 694 are GFn's with no known prime.
695	28	3, 29		k = = 1 mod 2 (2) k = = 346 mod 347 (347)	none - proven	2 (94625) 8 (39625) 26 (1771) 10 (192) 14 (105) 12 (27) 4 (6) 22 (4) 24 (2) 16 (2)
696	288	17, 41		k = = 4 mod 5 (5) k = = 138 mod 139 (139)	none - proven	135 (35285) 205 (24902) 120 (13046) 206 (8620) 18 (6544) 215 (518) 136 (393) 178 (297) 158 (200) 2 (189)
697	14308	5, 13, 349		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 28 mod 29 (29)	58 k's remaining at n=100K. See k's at Sierpinski Base 697 remain.	9924 (96581) 3132 (85543) 1042 (82910) 10282 (77855) 14194 (69618) 2728 (66701) 1788 (63922) 9136 (58401) 12696 (58259) 11268 (57036)
698	232	3, 233		k = = 16 mod 17 (17) k = = 40 mod 41 (41)	8 (300K) 23 (300K) 34 (300K) 91 (300K) 124 (300K) 140 (300K) 143 (300K) 158 (300K)	205 (122244) 106 (109564) 95 (89463) 172 (83404) 151 (67920) 222 (26145) 76 (15212) 61 (13348) 136 (5472) 77 (4241)	k = 1 is a GFn with no known prime.
699	6	5, 7		k = = 1 mod 2 (2) k = = 348 mod 349 (349)	none - proven	4 (1) 2 (1)
701	92	3, 13		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	none - proven	52 (163776) 12 (969) 38 (671) 68 (669) 58 (548) 8 (379) 22 (150) 28 (54) 86 (31) 66 (24)
702	75	19, 37		k = = 700 mod 701 (701)	39 (600K)	47 (1422) 6 (1228) 62 (1087) 61 (408) 72 (388) 54 (307) 7 (87) 57 (72) 32 (68) 37 (63)
703	538	5, 11, 73		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 12 mod 13 (13)	354 (300K) 474 (300K)	340 (280035) 430 (46194) 276 (27272) 406 (12501) 456 (2720) 222 (1049) 270 (903) 526 (844) 364 (550) 240 (413)
704	4	3, 5		k = = 18 mod 19 (19) k = = 36 mod 37 (37)	none - proven	3 (1) 2 (1)
705	10159692	7, 13, 181, 229, 353		k = = 1 mod 2 (2) k = = 10 mod 11 (11)	93375 k's remaining at n=2.5K. To be shown later.	9914126 (2500) 9467782 (2500) 9290642 (2500) 7589360 (2500) 7209792 (2500) 6814274 (2500) 6409010 (2500) 6395984 (2500) 5190078 (2500) 4968898 (2500)
706	405	7, 101		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 46 mod 47 (47)	none - proven	288 (169692) 118 (14617) 33 (6199) 30 (2839) 316 (2020) 258 (1785) 246 (1396) 318 (618) 57 (378) 162 (318)	k=1 is a GFn with no known prime.
707	58	3, 59		k = = 1 mod 2 (2) k = = 352 mod 353 (353)	40 (600K)	26 (45893) 28 (1776) 38 (953) 44 (259) 46 (152) 16 (84) 18 (82) 32 (51) 2 (51) 52 (38)
708	28361	5, 29, 709		k = = 6 mod 7 (7) k = = 100 mod 101 (101)	190 k's remaining at n=100K. See k's at Sierpinski Base 708 remain.	2598 (99964) 7094 (99897) 3073 (97462) 20153 (96115) 26222 (95989) 11376 (92188) 2651 (88828) 2118 (87687) 11341 (87060) 651 (86923)	k=708 is a GFn with no known prime.
709	214	5, 71		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 58 mod 59 (59)	none - proven	66 (1296) 6 (722) 96 (696) 36 (330) 88 (324) 108 (297) 132 (284) 186 (168) 106 (148) 24 (105)
710	80	3, 79		k = = 708 mod 709 (709)	8 (300K) 47 (300K) 52 (300K)	16 (240014) 10 (31038) 11 (15271) 53 (10189) 50 (2563) 73 (1324) 40 (404) 19 (314) 44 (297) 25 (274)
711	49572	7, 19, 37, 61, 89		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 70 mod 71 (71)	201 k's remaining at n=100K. See k's at Sierpinski Base 711 remain.	36620 (95122) 34622 (91188) 406 (90422) 31538 (87936) 28526 (87810) 45952 (87411) 9558 (86136) 34572 (82384) 28640 (81880) 34270 (81668)
712	528	23, 31		k = = 2 mod 3 (3) k = = 78 mod 79 (79)	22 (300K) 94 (300K) 123 (300K) 211 (300K) 237 (300K) 346 (300K) 367 (300K) 369 (300K) 493 (300K)	30 (215913) 300 (168722) 298 (138773) 246 (97696) 433 (84457) 114 (38517) 231 (18852) 337 (11051) 24 (9894) 61 (6675)	k=1 is a GFn with no known prime.
713	8	3, 7		k = = 1 mod 2 (2) k = = 88 mod 89 (89)	none - proven	4 (26) 6 (9) 2 (1)
714	12	11, 13		k = = 22 mod 23 (23) k = = 30 mod 31 (31)	none - proven	10 (7839) 11 (156) 8 (13) 6 (4) 9 (1) 7 (1) 5 (1) 4 (1) 3 (1) 2 (1)
715	21508102	19, 97, 179, 277		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 16 mod 17 (17)	33368 k's remaining at n=2.5K. To be shown later.	21372754 (2500) 12614992 (2500) 12137800 (2500) 10366818 (2500) 3498534 (2500) 2540814 (2500) 2425378 (2500) 1043310 (2500) 17288950 (2499) 14573926 (2499)
716	238	3, 239		k = = 4 mod 5 (5) k = = 10 mod 11 (11) k = = 12 mod 13 (13)	106 (300K) 121 (300K) 166 (300K)	167 (71209) 83 (31267) 173 (25905) 80 (10035) 137 (7465) 17 (4637) 171 (2043) 157 (1886) 73 (1592) 35 (1533)
717	179678	5, 7, 13, 101, 109, 509		k = = 1 mod 2 (2) k = = 178 mod 179 (179)	2703 k's remaining at n=10K. See k's at Sierpinski Base 717 remain.	35374 (9987) 146646 (9969) 56262 (9963) 54424 (9907) 28414 (9899) 10418 (9896) 134396 (9883) 93192 (9868) 148510 (9866) 109620 (9860)
718	243	7, 31, 61		k = = 2 mod 3 (3) k = = 238 mod 239 (239)	3 (300K) 69 (300K) 108 (300K) 153 (300K) 222 (300K)	18 (4204) 75 (2688) 49 (1942) 54 (1538) 96 (1067) 232 (901) 201 (407) 139 (349) 183 (318) 127 (304)
719	4	3, 5		k = = 1 mod 2 (2) k = = 358 mod 359 (359)	none - proven	2 (1)
720	104	7, 103		k = = 718 mod 719 (719)	13 (500K)	90 (99529) 57 (26004) 22 (17920) 50 (13740) 83 (5331) 55 (1443) 97 (589) 18 (140) 86 (66) 29 (54)	k = 1 is a GFn with no known prime.
721	3446248	19, 61, 4261		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	18229 k's remaining at n=2.5K. To be shown later.	2866740 (2500) 830596 (2499) 140922 (2499) 2831856 (2498) 2574930 (2498) 3028008 (2497) 2871222 (2497) 2552590 (2497) 23122 (2497) 1358596 (2496)
722	8	3, 5, 13, 73, 109		k = = 6 mod 7 (7) k = = 102 mod 103 (103)	none - proven	4 (626) 5 (187) 3 (20) 2 (3) 7 (2)	k = 1 is a GFn with no known prime.
723	2354	5, 13, 181		k = = 1 mod 2 (2) k = = 18 mod 19 (19)	14 (100K) 278 (100K) 544 (100K) 564 (100K) 712 (100K) 1028 (100K) 1058 (100K) 1308 (100K) 1312 (100K) 1392 (100K) 1396 (100K) 1412 (100K) 1704 (100K) 1888 (100K) 1902 (100K) 1906 (100K) 2076 (100K) 2124 (100K) 2134 (100K) 2296 (100K) 2352 (100K)	1668 (99198) 1360 (57754) 728 (47090) 216 (45595) 1242 (38682) 1444 (34911) 1078 (21382) 1378 (18935) 460 (18472) 1268 (18092)
724	204	5, 29		k = = 2 mod 3 (3) k = = 240 mod 241 (241)	9 (500K)	30 (28548) 175 (15958) 66 (9484) 99 (3293) 124 (2151) 142 (1787) 93 (1164) 85 (1046) 129 (733) 169 (563)	k = 1 is a GFn with no known prime.
725	10	3, 11		k = = 1 mod 2 (2) k = = 180 mod 181 (181)	none - proven	6 (10) 4 (6) 8 (1) 2 (1)
726	10923176	7, 13, 37, 601, 727		k = = 4 mod 5 (5) k = = 28 mod 29 (29)	119761 k's remaining at n=2.5K. To be shown later.	10856606 (2500) 10757772 (2500) 10537982 (2500) 9959756 (2500) 9951008 (2500) 9881050 (2500) 9445688 (2500) 9152842 (2500) 8351656 (2500) 6894196 (2500)
727	64	7, 13		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 10 mod 11 (11)	none - proven	12 (1907) 36 (344) 30 (91) 22 (42) 42 (15) 60 (7) 58 (4) 52 (4) 46 (4) 18 (4)
728	953974	3, 5, 105997		k = = 726 mod 727 (727)	115651 k's remaining at n=2.5K. To be shown later.	8 (7399) 933400 (2500) 867271 (2500) 605236 (2500) 449512 (2500) 362611 (2500) 274753 (2500) 172561 (2500) 154251 (2500) 53917 (2500)
729	74	5, 73	All k = m^3 for all n; factors to: (m9^n + 1) (m^281^n - m9^n + 1)	k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 12 mod 13 (13)	none - proven	18 (53) 56 (28) 42 (24) 52 (16) 66 (6) 32 (6) 68 (4) 60 (3) 40 (3) 28 (3)	k = 8 proven composite by full algebraic factors.
730	171	17, 43		k = = 2 mod 3 (3)	84 (400K)	85 (211537) 154 (178174) 132 (11966) 169 (7217) 129 (3143) 157 (1355) 27 (1069) 160 (881) 64 (599) 66 (480)
731	62	3, 61		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 72 mod 73 (73)	none - proven	28 (138318) 10 (1102) 30 (72) 26 (37) 2 (35) 58 (10) 40 (8) 32 (7) 56 (5) 52 (4)
732	81364	5, 7, 13, 37, 733		k = = 16 mod 17 (17) k = = 42 mod 43 (43)	1358 k's remaining at n=25K. See k's at Sierpinski Base 732 remain.	38488 (24989) 71119 (24970) 51829 (24935) 66239 (24923) 39199 (24923) 66706 (24903) 78257 (24899) 8111 (24785) 18323 (24642) 11257 (24610)
733	14314	5, 13, 367		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 60 mod 61 (61)	77 k's remaining at n=100K. See k's at Sierpinski Base 733 remain.	7798 (98299) 10594 (96159) 4726 (92461) 5130 (91705) 5262 (80182) 12378 (79770) 6882 (78788) 4966 (73632) 3666 (71429) 13374 (69561)
734	4	3, 5		k = = 732 mod 733 (733)	none - proven	2 (3) 3 (1)	k = 1 is a GFn with no known prime.
735	174778	17, 23, 15889		k = = 1 mod 2 (2) k = = 366 mod 367 (367)	721 k's remaining at n=25K. See k's at Sierpinski Base 735 remain.	129978 (24952) 12996 (24778) 22670 (24773) 76016 (24682) 39674 (24425) 156146 (24033) 63180 (23999) 70792 (23739) 146730 (23051) 42324 (22964)
736	133	11, 67		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	12 (400K)	78 (96) 21 (87) 100 (60) 88 (31) 130 (26) 127 (26) 67 (24) 85 (11) 10 (11) 102 (9)
737	40	3, 41		k = = 1 mod 2 (2) k = = 22 mod 23 (23)	none - proven	4 (269302) 38 (93785) 16 (7132) 14 (13) 32 (11) 24 (11) 28 (10) 12 (7) 36 (5) 2 (3)
738	12767	7, 13, 31, 73		k = = 10 mod 11 (11) k = = 66 mod 67 (67)	129 k's remaining at n=100K. See k's at Sierpinski Base 738 remain.	6806 (99875) 9416 (98317) 1389 (95939) 566 (86439) 9128 (82444) 2789 (79685) 10623 (78151) 9864 (77730) 6578 (74539) 4941 (73084)
739	36	5, 37		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 40 mod 41 (41)	none - proven	18 (110) 16 (54) 6 (38) 10 (3) 22 (2) 12 (2) 34 (1) 30 (1) 28 (1) 24 (1)
740	14	3, 13		k = = 738 mod 739 (739)	13 (1M)	4 (58042) 11 (33519) 8 (83) 10 (12) 12 (5) 7 (2) 9 (1) 6 (1) 5 (1) 3 (1)
741	160	7, 53		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 36 mod 37 (37)	none - proven	148 (3464) 50 (164) 76 (113) 108 (101) 142 (94) 30 (65) 112 (53) 38 (34) 78 (28) 120 (22)
742	30462	5, 29, 743		k = = 2 mod 3 (3) k = = 12 mod 13 (13) k = = 18 mod 19 (19)	52 k's remaining at n=100K. See k's at Sierpinski Base 742 remain.	4087 (98932) 15039 (95518) 21933 (95188) 8172 (87879) 7288 (74313) 18646 (70827) 26112 (70794) 28894 (69426) 19267 (67803) 29092 (66075)
743	32	3, 31		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 52 mod 53 (53)	none - proven	10 (285478) 14 (10449) 4 (246) 8 (71) 24 (42) 22 (12) 18 (6) 16 (4) 28 (2) 12 (2)
744	299	5, 149		k = = 742 mod 743 (743)	21 (300K) 83 (300K) 89 (300K) 101 (300K) 103 (300K) 186 (300K) 199 (300K) 201 (300K) 269 (300K) 271 (300K) 289 (300K) 290 (300K)	10 (137055) 86 (97852) 251 (55652) 256 (51360) 206 (48288) 261 (25338) 41 (15982) 96 (11484) 73 (6818) 171 (6416)	k = 1 is a GFn with no known prime.
745	334816	7, 13, 61, 3037		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 30 mod 31 (31)	784 k's remaining at n=25K. See k's at Sierpinski Base 745 remain.	39172 (24998) 318678 (24990) 33270 (24934) 278586 (24859) 272406 (24852) 67498 (24591) 296670 (24522) 118614 (24466) 149298 (24426) 27012 (24418)
746	82	3, 83		k = = 4 mod 5 (5) k = = 148 mod 149 (149)	8 (300K) 61 (300K) 67 (300K) 80 (300K)	47 (47853) 41 (34969) 77 (21213) 68 (5261) 40 (4256) 66 (744) 70 (260) 53 (149) 31 (40) 6 (38)	k = 1 is a GFn with no known prime.
747	32	5, 11, 41		k = = 1 mod 2 (2) k = = 372 mod 373 (373)	none - proven	22 (3560) 12 (118) 10 (13) 18 (4) 2 (4) 30 (2) 28 (2) 20 (2) 8 (2) 4 (2)
748	106	7, 107		k = = 2 mod 3 (3) k = = 82 mod 83 (83)	none - proven	90 (116015) 27 (88373) 13 (32635) 36 (24344) 61 (6293) 21 (1273) 63 (224) 78 (116) 18 (103) 4 (43)
749	4	3, 5		k = = 1 mod 2 (2) k = = 10 mod 11 (11) k = = 16 mod 17 (17)	none - proven	2 (1)
750	210779	13, 37, 1171		k = = 6 mod 7 (7) k = = 106 mod 107 (107)	1073 k's remaining at n=25K. See k's at Sierpinski Base 750 remain.	162939 (24821) 144385 (24681) 154394 (24635) 164033 (24631) 89880 (24619) 51389 (24469) 92453 (24438) 123751 (24357) 24132 (24340) 10794 (24261)
751	41032	7, 13, 37, 47		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	119 k's remaining at n=100K. See k's at Sierpinski Base 751 remain.	516 (89247) 1738 (84911) 17566 (84272) 25198 (76728) 9376 (74640) 35460 (69972) 27970 (67501) 15250 (66683) 6426 (65475) 37080 (61373)
752	16	3, 5, 17		k = = 750 mod 751 (751)	none - proven	2 (26163) 15 (1128) 10 (168) 8 (49) 13 (16) 3 (12) 7 (6) 9 (5) 12 (2) 4 (2)	k = 1 is a GFn with no known prime.
753	144	13, 29		k = = 1 mod 2 (2) k = = 46 mod 47 (47)	12 (300K) 96 (300K)	142 (92369) 66 (11920) 86 (9913) 106 (9225) 68 (1832) 38 (1315) 26 (585) 134 (517) 40 (444) 82 (354)
754	301	5, 151		k = = 2 mod 3 (3) k = = 250 mod 251 (251)	99 (300K) 159 (300K) 199 (300K)	214 (32727) 241 (15618) 46 (11428) 192 (4778) 66 (3462) 48 (1618) 276 (1548) 198 (1544) 186 (1538) 144 (1469)	k = 1 is a GFn with no known prime.
755	8	3, 7		k = = 1 mod 2 (2) k = = 12 mod 13 (13) k = = 28 mod 29 (29)	none - proven	4 (2118) 6 (329) 2 (1)
757	47376	5, 73, 379		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7)	120 k's remaining at n=100K. See k's at Sierpinski Base 757 remain.	28396 (98249) 1746 (95576) 38458 (92681) 19986 (90393) 5392 (89982) 46984 (88593) 6850 (88381) 31782 (86946) 30874 (84046) 38542 (79975)
758	10	3, 11		k = = 756 mod 757 (757)	8 (500K)	2 (8309) 4 (42) 5 (39) 3 (11) 7 (2) 9 (1) 6 (1)
759	56	5, 19		k = = 1 mod 2 (2) k = = 378 mod 379 (379)	none - proven	44 (1895) 6 (1564) 26 (710) 16 (290) 34 (37) 18 (31) 46 (20) 20 (14) 52 (10) 40 (5)
761	128	3, 127		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 18 mod 19 (19)	16 (300K) 32 (300K) 92 (300K)	118 (243458) 38 (4773) 22 (3452) 82 (2178) 40 (1912) 72 (368) 50 (239) 116 (41) 122 (21) 20 (21)
762	246	5, 7, 13		k = = 760 mod 761 (761)	27 (300K) 34 (300K) 57 (300K) 216 (300K) 222 (300K)	203 (178410) 141 (149740) 202 (66399) 48 (24261) 96 (23173) 6 (11151) 195 (10393) 132 (8631) 99 (7710) 235 (6351)	k = 1 is a GFn with no known prime.
763	151462	5, 17, 191, 193		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 126 mod 127 (127)	814 k's remaining at n=25K. See k's at Sierpinski Base 763 remain.	146364 (24821) 73194 (24759) 84186 (24741) 91746 (24676) 139266 (24605) 39402 (24589) 16042 (24482) 50320 (24366) 135294 (24329) 120546 (24308)
764	4	3, 5		k = = 6 mod 7 (7) k = = 108 mod 109 (109)	none - proven	2 (1189) 3 (1)
765	2699768	53, 383, 5521		k = = 1 mod 2 (2) k = = 190 mod 191 (191)	32349 k's remaining at n=2.5K. To be shown later.	2608338 (2500) 2119122 (2500) 1975398 (2499) 1817630 (2499) 1410748 (2499) 1040870 (2499) 844058 (2499) 2639024 (2498) 2567690 (2498) 2329274 (2498)
766	235	13, 59		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 16 mod 17 (17)	58 (300K) 222 (300K)	103 (5067) 51 (1569) 73 (289) 178 (276) 46 (204) 183 (152) 142 (129) 180 (122) 198 (80) 70 (68)	k = 1 is a GFn with no known prime.
767	80	3, 7, 43, 79		k = = 1 mod 2 (2) k = = 382 mod 383 (383)	4 (555K) 16 (555K) 52 (555K)	46 (134564) 62 (62239) 68 (18869) 36 (388) 64 (370) 8 (341) 20 (187) 32 (139) 76 (56) 74 (37)
768	55367	7, 19, 103, 769		k = = 12 mod 13 (13) k = = 58 mod 59 (59)	685 k's remaining at n=40K. See k's at Sierpinski Base 768 remain.	32159 (39814) 10974 (39639) 34388 (39492) 47639 (39318) 29339 (39310) 8656 (38996) 34154 (38806) 38214 (38783) 27069 (38498) 32852 (38168)
769	6	5, 7		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	none - proven	4 (3)
770	256	3, 257		k = = 768 mod 769 (769)	8 (300K) 11 (300K)	191 (81307) 182 (45297) 205 (36892) 140 (14355) 242 (13313) 188 (5781) 149 (5453) 56 (4763) 209 (4121) 83 (2307)	k = 1 is a GFn with no known prime.
771	264218	29, 37, 193		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 6 mod 7 (7) k = = 10 mod 11 (11)	202 k's remaining at n=100K. See k's at Sierpinski Base 771 remain.	28756 (98207) 198368 (97819) 196908 (93458) 223680 (93345) 51648 (89405) 228316 (89219) 57158 (88869) 199162 (88443) 6772 (88363) 199588 (87662)
772	23191	5, 13, 773		k = = 2 mod 3 (3) k = = 256 mod 257 (257)	342 k's remaining at n=100K. See k's at Sierpinski Base 772 remain.	16329 (98295) 8691 (98219) 17406 (97339) 13482 (96596) 4609 (96410) 19521 (95436) 13842 (94560) 13801 (94069) 7080 (93654) 6546 (93637)
773	44	3, 43		k = = 1 mod 2 (2) k = = 192 mod 193 (193)	2 (350K) 8 (350K) 10 (350K) 16 (350K) 32 (350K)	34 (70958) 36 (2119) 28 (230) 14 (199) 18 (98) 38 (27) 40 (8) 30 (6) 22 (4) 26 (3)
774	61	5, 31		k = = 772 mod 773 (773)	6 (300K) 19 (300K)	24 (6333) 52 (3025) 30 (1399) 47 (269) 38 (207) 48 (67) 16 (60) 23 (57) 46 (56) 54 (39)
775	862620	13, 97, 1777		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 42 mod 43 (43)	3752 k's remaining at n=10K. See k's at Sierpinski Base 775 remain.	737650 (9998) 753936 (9996) 226816 (9993) 272634 (9987) 747022 (9986) 513852 (9984) 542676 (9974) 300840 (9971) 430390 (9970) 126160 (9968)
776	8	3, 7		k = = 4 mod 5 (5) k = = 30 mod 31 (31)	none - proven	3 (10) 7 (6) 6 (1) 5 (1) 2 (1)
777	24088826	5, 389, 60373		k = = 1 mod 2 (2) k = = 96 mod 97 (97)	394350 k's remaining at n=2.5K. To be shown later.	23971582 (2500) 23927032 (2500) 23919436 (2500) 23487206 (2500) 23225942 (2500) 22892566 (2500) 22592082 (2500) 22585806 (2500) 22367112 (2500) 22237722 (2500)
778	208	5, 17, 19		k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 36 mod 37 (37)	163 (400K)	18 (19927) 121 (1067) 87 (1029) 159 (594) 151 (587) 138 (526) 103 (428) 133 (407) 75 (329) 180 (298)
779	4	3, 5		k = = 1 mod 2 (2) k = = 388 mod 389 (389)	none - proven	2 (1)
780	243	7, 11, 31, 61		k = = 18 mod 18 (19) k = = 40 mod 41 (41)	none - proven	43 (205685) 230 (11159) 57 (4525) 241 (2251) 234 (1168) 133 (828) 192 (774) 14 (597) 135 (558) 142 (501)
781	528	17, 23		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 12 mod 13 (13)	370 (500K)	346 (4210) 70 (2662) 418 (872) 516 (191) 438 (32) 118 (31) 58 (23) 72 (22) 46 (20) 502 (18)
782	28	3, 29		k = = 11 mod 12 (12) k = = 70 mod 71 (71)	none - proven	19 (594) 22 (150) 11 (93) 16 (72) 2 (55) 17 (15) 7 (12) 27 (7) 12 (4) 24 (3)
783	36	5, 7, 37		k = = 1 mod 2 (2) k = = 16 mod 17 (17) k = = 22 mod 23 (23)	none - proven	8 (274) 6 (231) 18 (46) 28 (18) 34 (7) 30 (6) 10 (3) 14 (2) 4 (2) 32 (1)
784	156	5, 157		k = = 2 mod 3 (3) k = = 28 mod 29 (29)	151 (400K)	139 (23965) 105 (14268) 46 (2876) 69 (1421) 31 (748) 34 (279) 81 (104) 49 (89) 21 (84) 141 (56)
785	130	3, 131		k = = 1 mod 2 (2) k = = 6 mod 7 (7)	none - proven	8 (900325) 112 (84676) 124 (2996) 82 (2184) 128 (1137) 116 (621) 14 (549) 88 (334) 96 (95) 74 (95)
786	210082	7, 19, 4651		k = = 4 mod 5 (5) k = = 156 mod 157 (157)	3604 k's remaining at n=10K. See k's at Sierpinski Base 786 remain.	10 (68168) 102358 (9997) 20842 (9995) 109186 (9994) 53645 (9993) 28627 (9973) 161075 (9958) 23260 (9952) 122321 (9938) 94411 (9937)
787	7684	5, 7, 13, 19, 197		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 130 mod 131 (131)	37 k's remaining at n=100K. See k's at Sierpinski Base 787 remain.	5068 (78569) 6060 (66435) 6082 (65782) 4792 (65520) 7108 (63609) 7348 (51146) 3526 (47181) 198 (46620) 5976 (43548) 718 (42422)
788	40	3, 13, 41		k = = 786 mod 787 (787)	14 (300K) 16 (300K) 38 (300K)	2 (72917) 8 (11407) 31 (1588) 32 (389) 30 (304) 33 (183) 21 (92) 36 (89) 10 (78) 37 (60)
789	236	5, 79		k = = 1 mod 2 (2) k = = 196 mod 197 (197)	96 (500K)	4 (149139) 148 (136439) 80 (101124) 6 (27296) 174 (9317) 146 (6520) 12 (1261) 24 (623) 166 (570) 142 (332)
790	225	7, 113		k = = 2 mod 3 (3) k = = 262 mod 263 (263)	127 (300K) 160 (300K)	94 (209857) 64 (4646) 48 (2909) 139 (909) 85 (430) 189 (400) 27 (379) 178 (297) 223 (219) 145 (156)
791	10	3, 11		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 78 mod 79 (79)	none - proven	6 (2) 8 (1) 2 (1)
792	365	13, 61		k = = 6 mod 7 (7) k = = 112 mod 113 (113)	12 (300K) 77 (300K) 142 (300K) 233 (300K)	182 (134655) 339 (60434) 243 (38377) 71 (9185) 144 (6742) 121 (5347) 262 (2679) 207 (2407) 53 (1900) 299 (390)	k = 1 is a GFn with no known prime.
793	4492848	5, 41, 73, 397		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 10 mod 11 (11)	47035 k's remaining at n=2.5K. To be shown later.	4281780 (2500) 4058368 (2500) 3311566 (2500) 2680486 (2500) 1527846 (2500) 258930 (2500) 39052 (2500) 4434148 (2499) 3649240 (2499) 3452568 (2499)
794	4	3, 5		k = = 12 mod 13 (13) k = = 60 mod 61 (61)	none - proven	2 (3) 3 (1)	k = 1 is a GFn with no known prime.
795	6566	17, 29, 199		k = = 1 mod 2 (2) k = = 396 mod 397 (397)	32 k's remaining at n=100K. See k's at Sierpinski Base 795 remain.	6368 (92406) 4280 (82678) 3384 (80868) 1616 (58496) 2636 (38215) 6492 (29734) 374 (27489) 474 (24443) 3132 (23481) 3230 (22732)
797	8	3, 7		k = = 1 mod 2 (2) k = = 198 mod 199 (199)	none - proven	4 (468702) 2 (35) 6 (1)
798	187	5, 13, 47		k = = 796 mod 797 (797)	33 (400K)	107 (2889) 25 (2762) 28 (1255) 73 (1238) 81 (860) 31 (744) 125 (604) 57 (530) 171 (460) 113 (456)
800	88	3, 89		k = = 16 mod 17 (17) k = = 46 mod 47 (47)	61 (500K) 82 (500K)	26 (162819) 10 (15104) 24 (2444) 65 (1253) 47 (727) 40 (568) 31 (450) 71 (389) 19 (312) 25 (308)
802	129	7, 13, 337		k = = 2 mod 3 (3) k = = 88 mod 89 (89)	none - proven	10 (149319) 120 (7279) 61 (7104) 82 (6087) 115 (3373) 97 (928) 27 (427) 66 (228) 123 (186) 124 (173)	k = 1 is a GFn with no known prime.
803	16	3, 5, 17		k = = 1 mod 2 (2) k = = 400 mod 401 (401)	4 (500K)	8 (1243) 12 (13) 6 (9) 10 (6) 14 (1) 2 (1)
804	6	5, 7		k = = 10 mod 11 (11) k = = 72 mod 73 (73)	none - proven	3 (4) 5 (1) 4 (1) 2 (1)
805	714	13, 31		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 66 mod 67 (67)	none - proven	588 (153593) 340 (125637) 430 (25396) 412 (2837) 100 (2538) 636 (2107) 216 (1117) 456 (446) 654 (363) 378 (262)
806	268	3, 269		k = = 4 mod 5 (5) k = = 6 mod 7 (7) k = = 22 mod 23 (23)	140 (400K)	122 (173475) 163 (155542) 121 (19766) 38 (19391) 142 (18496) 217 (10920) 227 (2447) 145 (1244) 100 (616) 247 (518)	k = 1 is a GFn with no known prime.
807	53428	5, 101, 521		k = = 1 mod 2 (2) k = = 12 mod 13 (13) k = = 30 mod 31 (31)	508 k's remaining at n=25K. See k's at Sierpinski Base 807 remain.	16554 (24661) 14794 (24537) 21174 (24478) 28972 (24443) 7244 (24322) 9068 (24069) 36926 (24012) 23096 (23952) 5946 (23856) 5582 (23660)
808	24271	5, 37, 809		k = = 2 mod 3 (3) k = = 268 mod 269 (269)	267 k's remaining at n=100K. See k's at Sierpinski Base 808 remain.	16414 (98133) 6942 (97388) 20317 (94902) 17344 (94047) 7468 (93391) 6898 (91763) 8461 (91520) 15126 (90980) 1141 (90087) 23095 (88418)
809	4	3, 5		k = = 1 mod 2 (2) k = = 100 mod 101 (101)	none - proven	2 (1)
810	30008	7, 13, 43, 811		k = = 808 mod 809 (809)	165 k's remaining at n=100K. See k's at Sierpinski Base 810 remain.	17065 (89480) 21425 (87145) 4628 (86573) 14509 (85813) 1850 (84355) 25296 (83962) 29800 (82374) 8341 (81382) 20341 (81140) 22008 (79430)
811	552	7, 29		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	252 (300K) 450 (300K) 538 (300K)	510 (124135) 358 (32640) 378 (6792) 196 (1427) 258 (1309) 456 (620) 88 (514) 42 (428) 216 (425) 202 (369)
812	16	3, 5, 17		k = = 810 mod 811 (811)	none - proven	8 (3461) 2 (1003) 15 (31) 4 (26) 6 (19) 10 (18) 12 (6) 5 (5) 13 (2) 7 (2)	k = 1 is a GFn with no known prime.
813	186	11, 37		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 28 mod 29 (29)	none - proven	142 (2477) 166 (872) 78 (484) 126 (436) 108 (415) 80 (232) 46 (199) 18 (127) 138 (104) 64 (97)
814	651	5, 163		k = = 2 mod 3 (3) k = = 270 mod 271 (271)	261 (300K) 276 (300K) 294 (300K) 391 (300K) 456 (300K) 559 (300K) 612 (300K)	196 (263256) 162 (233173) 94 (140039) 376 (129690) 229 (48271) 496 (26446) 586 (25024) 615 (10999) 300 (10987) 394 (9405)	k = 1 is a GFn with no known prime.
815	16	3, 17		k = = 1 mod 2 (2) k = = 10 mod 11 (11) k = = 36 mod 37 (37)	none - proven	2 (119) 4 (10) 6 (2) 14 (1) 12 (1) 8 (1)
816	343	19, 43		k = = 4 mod 5 (5) k = = 162 mod 163 (163)	153 (400K)	246 (24975) 85 (3255) 292 (3033) 216 (2836) 40 (2582) 322 (1635) 96 (944) 23 (766) 187 (605) 160 (587)
817	2063406	5, 41, 409, 1009		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 16 mod 17 (17)	24181 k's remaining at n=2.5K. To be shown later.	1021686 (2500) 753258 (2500) 1376274 (2499) 657856 (2499) 50070 (2499) 1016674 (2498) 973242 (2498) 483072 (2498) 411132 (2498) 191694 (2498)
818	8	3, 7		k = = 18 mod 19 (19) k = = 42 mod 43 (43)	none - proven	4 (7726) 7 (22) 3 (12) 6 (1) 5 (1) 2 (1)	k = 1 is a GFn with no known prime.
819	124	5, 41		k = = 1 mod 2 (2) k = = 408 mod 409 (409)	none - proven	40 (6493) 94 (2165) 76 (1268) 84 (501) 36 (96) 92 (58) 18 (49) 122 (43) 42 (40) 26 (40)
820	30378	17, 37, 821		k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 12 mod 13 (13)	339 (100K) 1453 (100K) 2665 (100K) 5292 (100K) 5623 (100K) 6955 (100K) 7054 (100K) 9397 (100K) 12355 (100K) 12475 (100K) 16723 (100K) 17665 (100K) 17889 (100K) 21283 (100K) 22696 (100K) 25062 (100K) 25314 (100K) 25827 (100K) 26380 (100K) 27120 (100K) 29113 (100K)	14038 (95797) 13318 (84759) 21058 (83174) 24901 (80512) 4462 (70305) 20637 (69366) 3204 (64442) 16069 (64070) 24636 (58914) 10507 (46471)	k = 820 is a GFn with no known prime.
821	136	3, 137		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 40 mod 41 (41)	80 (500K)	82 (139686) 110 (16855) 106 (14542) 98 (3309) 56 (1819) 6 (1360) 2 (945) 132 (544) 62 (437) 88 (268)
822	278173	5, 337, 823		k = = 820 mod 821 (821)	16021 k's remaining at n=2.5K. To be shown later.	62576 (2500) 250745 (2499) 228272 (2499) 189024 (2499) 227114 (2498) 221625 (2498) 47558 (2498) 129218 (2497) 39779 (2497) 203011 (2496)	k = 822 is a GFn with no known prime.
823	9166	7, 13, 43, 103		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 136 mod 137 (137)	69 k's remaining at n=100K. See k's at Sierpinski Base 823 remain.	3138 (91588) 8484 (87406) 8452 (86872) 3520 (73141) 2418 (68362) 3246 (66116) 6738 (65119) 1668 (58267) 8362 (51378) 8808 (49240)
824	4	3, 5		k = = 822 mod 823 (823)	none - proven	2 (7) 3 (1)
825	176	7, 59		k = = 1 mod 2 (2) k = = 102 mod 103 (103)	58 (300K) 64 (300K)	120 (238890) 20 (6961) 148 (3716) 132 (3151) 60 (1690) 146 (117) 118 (53) 152 (36) 140 (32) 36 (26)
827	8	3, 5, 13		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 58 mod 59 (59)	none - proven	2 (367) 4 (2)
828	12	7, 13, 19		k = = 826 mod 827 (827)	8 (500K)	5 (6) 10 (3) 9 (3) 7 (2) 3 (2) 11 (1) 6 (1) 4 (1) 2 (1)
829	84	5, 83		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 22 mod 23 (23)	none - proven	66 (388) 76 (128) 16 (70) 52 (63) 24 (31) 46 (26) 54 (11) 34 (9) 4 (9) 64 (7)
830	278	3, 277		k = = 828 mod 829 (829)	30 (300K) 37 (300K) 47 (300K) 55 (300K) 89 (300K) 94 (300K) 103 (300K) 139 (300K) 145 (300K) 160 (300K) 173 (300K) 208 (300K) 257 (300K)	43 (65316) 86 (64645) 64 (41986) 61 (36578) 180 (35747) 155 (23123) 250 (18080) 227 (15501) 187 (9774) 20 (9763)
831	1030522	13, 449, 769		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 82 mod 83 (83)	15039 k's remaining at n=2.5K. To be shown later.	677952 (2499) 197382 (2498) 173330 (2498) 77616 (2498) 27582 (2498) 811316 (2497) 497988 (2497) 961760 (2496) 980616 (2494) 928292 (2494)
832	69	7, 17		k = = 2 mod 3 (3) k = = 276 mod 277 (277)	36 (500K) 67 (500K)	39 (15125) 13 (349) 30 (190) 52 (152) 10 (132) 37 (71) 21 (67) 57 (64) 64 (50) 66 (20)
833	140	3, 139		k = = 1 mod 2 (2) k = = 12 mod 13 (13)	32 (300K) 106 (300K)	8 (5735) 22 (670) 4 (650) 46 (396) 82 (70) 124 (58) 128 (55) 72 (50) 30 (41) 94 (26)
834	166	5, 167		k = = 6 mod 7 (7) k = = 16 mod 17 (17)	89 (400K)	151 (8828) 114 (2661) 126 (1580) 156 (318) 73 (297) 39 (173) 54 (163) 31 (126) 32 (57) 26 (56)
835	474	11, 19		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 138 mod 139 (139)	94 (300K) 276 (300K)	244 (16024) 298 (6418) 12 (5632) 390 (3087) 438 (2058) 178 (1688) 96 (1122) 316 (1088) 406 (933) 150 (882)
836	32	3, 31		k = = 4 mod 5 (5) k = = 166 mod 167 (167)	2 (400K)	7 (5700) 16 (4292) 30 (251) 5 (43) 22 (34) 10 (24) 18 (16) 23 (15) 12 (15) 28 (8)	k = 1 is a GFn with no known prime.
837	1032	7, 97, 1033		k = = 1 mod 2 (2) k = = 10 mod 11 (11) k = = 18 mod 19 (19)	334 (300K) 402 (300K) 696 (300K) 872 (300K)	404 (163205) 908 (106337) 234 (96217) 38 (53782) 948 (42490) 482 (33683) 486 (31555) 22 (26331) 356 (18827) 96 (13919)
838	1447276	5, 7, 13, 97, 839		k = = 2 mod 3 (3) k = = 30 mod 31 (31)	46353 k's remaining at n=2.5K. To be shown later.	1321471 (2500) 1241347 (2500) 1065847 (2500) 1001161 (2500) 947871 (2500) 579231 (2500) 222795 (2500) 47238 (2500) 33751 (2500) 1299499 (2499)	k = 838 and 702244 are GFn's with no known prime.
839	4	3, 5		k = = 1 mod 2 (2) k = = 418 mod 419 (419)	none - proven	2 (5)
840	9076	37, 61, 313		k = = 838 mod 839 (839)	54 k's remaining at n=100K. See k's at Sierpinski Base 840 remain.	412 (94384) 7019 (85806) 2517 (82807) 8295 (80068) 217 (73775) 7773 (73438) 5772 (70860) 1451 (51944) 3220 (50514) 5182 (49799)	k = 1 and 840 are GFn's with no known prime.
841	22312	13, 37, 61, 421		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 6 mod 7 (7)	1278 (300K) 6900 (300K) 8722 (300K) 10518 (300K) 12310 (300K) 13840 (300K) 14362 (300K) 16788 (300K) 17262 (300K) 18022 (300K) 19140 (300K) 19786 (300K)	15690 (266965) 1590 (172731) 18400 (152616) 4008 (131505) 6322 (127936) 9292 (117699) 700 (107773) 16950 (101338) 10956 (96215) 9822 (75757)
842	68	3, 7, 31, 67		k = = 28 mod 29 (29)	13 (400K) 19 (400K) 31 (400K)	17 (104679) 61 (100660) 23 (36037) 64 (17030) 47 (6387) 53 (2537) 2 (1919) 65 (1545) 10 (354) 12 (223)	k = 1 is a GFn with no known prime.
843	28486	5, 61, 211		k = = 1 mod 2 (2) k = = 420 mod 421 (421)	250 k's remaining at n=100K. See k's at Sierpinski Base 843 remain.	2744 (99026) 3694 (98009) 19622 (96553) 21550 (96128) 3844 (95467) 8942 (93246) 5776 (92681) 17298 (92120) 15898 (92096) 5174 (91111)
844	51	5, 13		k = = 2 mod 3 (3) k = = 280 mod 281 (281)	none - proven	40 (246524) 9 (9687) 31 (378) 45 (304) 27 (58) 36 (28) 10 (27) 6 (14) 4 (13) 19 (11)	k = 1 is a GFn with no known prime.
845	46	3, 47		k = = 1 mod 2 (2) k = = 210 mod 211 (211)	none - proven	34 (78106) 40 (2952) 4 (1646) 2 (877) 6 (325) 36 (41) 16 (28) 32 (17) 24 (15) 26 (11)
846	43	7, 11		k = = 4 mod 5 (5) k = = 12 mod 13 (13)	none - proven	27 (3371) 15 (408) 11 (88) 21 (13) 18 (13) 22 (8) 23 (6) 17 (5) 37 (3) 13 (3)
847	150678	5, 41, 53, 401		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 46 mod 47 (47)	557 k's remaining at n=25K. See k's at Sierpinski Base 847 remain.	32004 (24895) 138384 (24890) 34588 (24786) 55588 (24778) 14262 (24731) 57846 (24708) 18324 (24682) 128418 (24565) 63594 (24549) 12862 (24383)
848	284	3, 283		k = = 6 mod 7 (7) k = = 10 mod 11 (11)	4 (1M) 17 (300K) 46 (300K) 106 (300K) 121 (300K) 196 (300K) 217 (300K) 231 (300K) 233 (300K) 283 (300K)	220 (187868) 107 (69105) 151 (58196) 185 (56253) 173 (29315) 238 (16692) 189 (13667) 215 (8459) 211 (5992) 22 (4800)	k = 1 is a GFn with no known prime.
849	16	5, 17		k = = 1 mod 2 (2) k = = 52 mod 53 (53)	none - proven	12 (28) 10 (17) 4 (11) 6 (2) 14 (1) 8 (1) 2 (1)
850	369	23, 37		k = = 2 mod 3 (3) k = = 282 mod 283 (283)	252 (400K)	346 (3142) 208 (2154) 79 (1671) 270 (1509) 114 (1443) 268 (1113) 36 (737) 145 (705) 289 (340) 331 (216)
851	70	3, 71		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 16 mod 17 (17)	none - proven	32 (2079) 68 (893) 8 (113) 46 (18) 2 (15) 52 (12) 22 (12) 10 (12) 62 (11) 58 (8)
852	34974	5, 41, 853		k = = 22 mod 23 (23) k = = 36 mod 37 (37)	627 k's remaining at n=25K. See k's at Sierpinski Base 852 remain.	1647 (24891) 6102 (24835) 34866 (24805) 26436 (24704) 13318 (24617) 34968 (24381) 32602 (24375) 33730 (24233) 26001 (24135) 33849 (24113)
853	204	5, 7, 29		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 70 mod 71 (71)	106 (1M)	42 (91322) 34 (267) 76 (203) 166 (156) 132 (129) 78 (96) 88 (76) 118 (71) 178 (55) 124 (49)
854	4	3, 5		k = = 852 mod 853 (853)	none - proven	3 (4) 2 (1)	k = 1 is a GFn with no known prime.
856	39457	7, 181, 193		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 18 mod 19 (19)	103 k's remaining at n=100K. See k's at Sierpinski Base 856 remain.	28123 (97689) 18906 (95635) 27726 (90589) 36847 (89735) 3366 (88865) 34353 (86530) 33435 (86205) 27823 (85963) 8902 (85891) 16915 (82556)
857	10	3, 11		k = = 1 mod 2 (2) k = = 106 mod 107 (107)	none - proven	6 (80) 4 (6) 2 (3) 8 (1)
858	35218	5, 29, 859		k = = 856 mod 857 (857)	567 k's remaining at n=25K. See k's at Sierpinski Base 858 remain.	4130 (24454) 29256 (24229) 4406 (23977) 32206 (23908) 31481 (23905) 4455 (23830) 10071 (23693) 20225 (23322) 20678 (23144) 31776 (23095)	k = 858 is a GFn with no known prime.
859	474	5, 43		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 10 mod 11 (11) k = = 12 mod 13 (13)	136 (300K) 250 (300K)	414 (41231) 394 (2913) 396 (1708) 226 (988) 304 (591) 214 (401) 256 (386) 336 (286) 196 (230) 466 (218)
860	8	3, 7		k = = 858 mod 859 (859)	none - proven	6 (391) 5 (7) 7 (6) 4 (6) 3 (3) 2 (1)
861	813160	13, 37, 1543		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 42 mod 43 (43)	2692 k's remaining at n=10K. See k's at Sierpinski Base 861 remain.	367828 (9981) 430550 (9977) 411096 (9970) 802702 (9968) 293240 (9956) 732138 (9948) 197838 (9932) 801852 (9928) 682172 (9913) 333508 (9913)
862	6757	19, 31, 421		k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 40 mod 41 (41)	38 k's remaining at n=100K. See k's at Sierpinski Base 862 remain.	3808 (98309) 1828 (89429) 3846 (83765) 802 (81952) 3241 (81340) 5181 (78665) 5412 (78123) 1836 (77709) 2758 (75034) 1537 (69935)	k = 862 is a GFn with no known prime.
863	8	3, 5, 13		k = = 1 mod 2 (2) k = = 430 mod 431 (431)	none - proven	4 (62) 2 (25) 6 (1)
864	174	5, 173		k = = 862 mod 863 (863)	74 (500K)	136 (71418) 53 (56085) 15 (51510) 64 (27053) 41 (18064) 39 (12723) 27 (11230) 147 (6951) 144 (4507) 131 (2702)
865	15460266	7, 13, 37, 61, 433		k = = 1 mod 2 (2) k = = 2 mod 3 (3)		Testing just started.
866	16	3, 17		k = = 4 mod 5 (5) k = = 172 mod 173 (173)	8 (500K)	13 (1492) 12 (531) 11 (35) 15 (8) 3 (7) 5 (5) 10 (2) 7 (2) 6 (1) 2 (1)
867	92	7, 31		k = = 1 mod 2 (2) k = = 432 mod 433 (433)	none - proven	50 (63774) 36 (5504) 74 (3730) 2 (1280) 32 (362) 38 (290) 72 (278) 62 (267) 64 (122) 22 (54)
868	78	11, 79		k = = 2 mod 3 (3) k = = 16 mod 17 (17)	none - proven	61 (388) 7 (273) 34 (90) 43 (55) 45 (42) 12 (28) 48 (12) 13 (12) 39 (7) 18 (7)	k =1 is a GFn with no known prime.
869	4	3, 5		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 30 mod 31 (31)	none - proven	2 (49149)
870	66	13, 67		k = = 10 mod 11 (11) k = = 78 mod 79 (79)	none - proven	38 (29675) 55 (872) 12 (87) 50 (56) 14 (48) 5 (48) 35 (46) 46 (45) 6 (22) 4 (19)	k = 1 is a GFn with no known prime.
871	21676	7, 17, 53, 103, 409		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 28 mod 29 (29)	582 (100K) 618 (100K) 696 (100K) 2110 (100K) 2280 (100K) 3702 (100K) 4468 (100K) 6648 (100K) 6898 (100K) 7302 (100K) 9702 (100K) 10336 (100K) 10356 (100K) 11526 (100K) 13332 (100K) 14496 (100K) 17616 (100K) 18946 (100K) 19222 (100K) 20248 (100K) 20806 (100K) 21238 (100K)	7050 (94061) 18682 (77041) 20382 (70537) 6472 (69628) 15726 (64212) 19512 (53106) 12550 (49403) 5778 (47932) 1752 (43331) 9300 (39775)
872	98	3, 97		k = = 12 mod 13 (13) k = = 66 mod 67 (67)	19 (400K) 46 (400K) 68 (400K)	94 (397354) 26 (45765) 13 (38782) 27 (7438) 79 (6794) 23 (6793) 62 (5987) 44 (4367) 32 (4203) 33 (1581)	k = 1 is a GFn with no known prime.
873	208	19, 23		k = = 1 mod 2 (2) k = = 108 mod 109 (109)	116 (400K) 150 (400K) 206 (400K)	24 (88530) 68 (81083) 88 (6970) 96 (5824) 164 (3271) 198 (2800) 172 (2600) 144 (509) 106 (391) 178 (348)
874	6	5, 7		k = = 2 mod 3 (3) k = = 96 mod 97 (97)	none - proven	4 (77) 3 (2)
875	74	3, 73		k = = 1 mod 2 (2) k = = 18 mod 19 (19) k = = 22 mod 23 (23)	4 (1M)	38 (52517) 46 (250) 52 (150) 58 (44) 10 (38) 16 (26) 72 (15) 64 (14) 50 (11) 2 (11)
877	2182	5, 7, 13, 37, 139		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 72 mod 73 (73)	438 (300K) 696 (300K) 748 (300K) 1146 (300K) 1272 (300K) 1348 (300K) 1434 (300K) 1602 (300K)	1942 (237267) 1606 (150351) 1018 (138945) 1776 (125700) 1758 (60129) 1494 (48809) 672 (45992) 172 (41580) 1470 (29067) 564 (25366)
878	23	3, 5, 53		k = = 876 mod 877 (877)	2 (400K) 13 (400K) 17 (400K)	11 (227481) 10 (972) 18 (454) 16 (168) 19 (114) 14 (87) 3 (12) 8 (11) 22 (10) 20 (9)	k = 1 is a GFn with no known prime.
879	34	5, 11		k = = 1 mod 2 (2) k = = 438 mod 439 (439)	none - proven	10 (25003) 32 (4617) 24 (1183) 14 (167) 26 (24) 22 (6) 28 (4) 8 (4) 16 (2) 12 (2)
880	25282	13, 103, 193		k = = 2 mod 3 (3) k = = 292 mod 293 (293)	79 k's remaining at n=100K. See k's at Sierpinski Base 880 remain.	5458 (99301) 22465 (96712) 23655 (96567) 3858 (88554) 22923 (82182) 14247 (80185) 14148 (80028) 706 (76693) 13465 (71040) 13675 (70732)	k = 880 is a GFn with no known prime.
881	8	3, 7		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 10 mod 11 (11)	none - proven	6 (63) 2 (27)
882	5297	5, 37, 883		k = = 880 mod 881 (881)	46 k's remaining at n=100K. See k's at Sierpinski Base 882 remain.	68 (98958) 1057 (96951) 2874 (95905) 623 (89706) 5232 (85756) 445 (85369) 64 (84322) 3452 (82495) 3029 (69511) 3350 (62647)	k = 882 is a GFn with no known prime.
883	324	13, 17		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7)	66 (500K)	154 (268602) 288 (12839) 222 (10326) 322 (1597) 58 (907) 192 (570) 18 (374) 274 (326) 28 (235) 136 (209)
884	4	3, 5		k = = 882 mod 883 (883)	none - proven	2 (5) 3 (3)
885	588746	7, 19, 73, 443		k = = 1 mod 2 (2) k = = 12 mod 13 (13) k = = 16 mod 17 (17)	2160 k's remaining at n=10K. See k's at Sierpinski Base 885 remain.	143810 (10000) 179068 (9977) 444418 (9964) 347532 (9936) 177252 (9936) 162098 (9934) 345242 (9920) 179330 (9919) 179736 (9909) 160694 (9905)
886	8170158	7, 13, 61, 181, 887		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 58 mod 59 (59)	142454 k's remaining at n=2.5K. To be shown later.	7730176 (2500) 7416420 (2500) 6973543 (2500) 6738057 (2500) 6098103 (2500) 5628577 (2500) 5337247 (2500) 5317885 (2500) 5243605 (2500) 5176713 (2500)	k = 886 and 784996 are GFn's with no known prime.
887	38	3, 37		k = = 1 mod 2 (2) k = = 442 mod 443 (443)	16 (300K) 34 (300K)	2 (27771) 12 (13960) 24 (2687) 36 (1243) 22 (1008) 20 (545) 30 (123) 10 (12) 14 (7) 28 (6)
888	13	5, 7, 17		k = = 886 mod 887 (887)	none - proven	8 (112) 3 (16) 4 (6) 10 (3) 6 (3) 12 (1) 11 (1) 9 (1) 7 (1) 5 (1)	k = 1 is a GFn with no known prime.
889	624	5, 89		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 36 mod 37 (37)	none - proven	534 (71765) 174 (38647) 384 (20127) 576 (7422) 456 (7060) 6 (3450) 330 (3076) 604 (2299) 268 (1190) 96 (680)
890	10	3, 11		k = = 6 mod 7 (7) k = = 126 mod 127 (127)	none - proven	4 (10) 2 (7) 7 (4) 9 (1) 8 (1) 5 (1) 3 (1)	.
892	187	5, 13, 47		k = = 2 mod 3 (3) k = = 10 mod 11 (11)	46 (500K) 93 (500K) 151 (500K)	118 (373012) 51 (271541) 16 (5475) 138 (1494) 99 (1326) 96 (1224) 7 (156) 132 (151) 148 (114) 12 (91)
893	32	3, 5, 41		k = = 1 mod 2 (2) k = = 222 mod 223 (223)	none - proven	8 (86771) 26 (519) 16 (20) 10 (12) 4 (10) 12 (8) 30 (7) 6 (7) 28 (2) 22 (2)
894	359	5, 179		k = = 18 mod 19 (19) k = = 46 mod 47 (47)	6 (300K) 29 (300K) 109 (300K) 144 (300K) 178 (300K) 181 (300K) 184 (300K) 204 (300K) 214 (300K) 271 (300K) 354 (300K)	74 (201093) 327 (34066) 243 (20613) 101 (17754) 154 (7051) 304 (6407) 43 (5486) 319 (5079) 249 (5033) 24 (4007)
895	953800	7, 97, 4129		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 148 mod 149 (149)	13493 k's remaining at n=2.5K. To be shown later.	745038 (2500) 860580 (2499) 698524 (2498) 105196 (2498) 742926 (2497) 599136 (2497) 586332 (2497) 318754 (2496) 226822 (2496) 666804 (2495)
896	22	3, 23		k = = 4 mod 5 (5) k = = 178 mod 179 (179)	none - proven	10 (436) 16 (150) 21 (7) 8 (7) 18 (5) 7 (4) 2 (3) 13 (2) 6 (2) 20 (1)	k = 1 is a GFn with no known prime.
897	7634	5, 17, 449		k = = 1 mod 2 (2) k = = 6 mod 7 (7)	448 (300K) 798 (300K) 1246 (300K) 1296 (300K) 1968 (300K) 2444 (300K) 3568 (300K) 3692 (300K) 3962 (300K) 4858 (300K) 4938 (300K) 5002 (300K) 5084 (300K) 5762 (300K) 7428 (300K)	5882 (185306) 3386 (167919) 5202 (146872) 5810 (141540) 4132 (63703) 6848 (49788) 2088 (47900) 1262 (47202) 3690 (33277) 7532 (31775)
898	30	29, 31		k = = 2 mod 3 (3) k = = 12 mod 13 (13) k = = 22 mod 23 (23)	none - proven	28 (98959) 19 (165) 13 (35) 24 (30) 6 (29) 9 (15) 3 (6) 15 (3) 18 (2) 10 (2)
899	4	3, 5		k = = 1 mod 2 (2) k = = 448 mod 449 (449)	none - proven	2 (15731)
900	12	7, 13, 19		k = = 28 mod 29 (29) k = = 30 mod 31 (31)	none - proven	8 (2270) 6 (47) 5 (3) 4 (3) 3 (3) 11 (1) 10 (1) 9 (1) 7 (1) 2 (1)
901	12	7, 11, 13, 19		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	none - proven	10 (1) 6 (1)
902	8	3, 7		k = = 16 mod 17 (17) k = = 52 mod 53 (53)	none - proven	5 (15) 4 (6) 2 (3) 7 (2) 6 (1) 3 (1)	k = 1 is a GFn with no known prime.
903	338	5, 73, 113		k = = 1 mod 2 (2) k = = 10 mod 11 (11) k = = 40 mod 41 (41)	none - proven	308 (13220) 290 (8582) 168 (1442) 212 (941) 14 (685) 94 (683) 182 (177) 162 (154) 192 (80) 298 (79)
904	361	5, 181		k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 42 mod 43 (43)	49 (300K) 99 (300K) 121 (300K) 211 (300K) 289 (300K) 294 (300K)	136 (147230) 30 (124238) 180 (63687) 331 (32322) 31 (19068) 256 (15408) 81 (12738) 144 (2023) 168 (1158) 16 (972)	k = 1 is a GFn with no known prime.
905	118	3, 13, 17		k = = 1 mod 2 (2) k = = 112 mod 113 (113)	62 (400K) 68 (400K) 88 (400K)	90 (5989) 10 (5154) 108 (294) 98 (233) 16 (186) 94 (170) 82 (118) 76 (106) 30 (58) 46 (56)
907	1350424	5, 7, 13, 227, 661		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 150 mod 151 (151)	29433 k's remaining at n=2.5K. To be shown later.	969112 (2500) 869068 (2500) 776188 (2500) 569218 (2500) 1019872 (2499) 961882 (2499) 863644 (2499) 219994 (2499) 1194514 (2498) 1018458 (2498)
908	100	3, 101		k = = 906 mod 907 (907)	2 (300K) 32 (300K) 34 (300K) 49 (300K) 76 (300K) 79 (300K) 94 (300K)	8 (243439) 36 (146460) 71 (49583) 77 (47301) 55 (23710) 41 (23083) 11 (9855) 68 (8091) 16 (5320) 63 (3876)	k = 1 is a GFn with no known prime.
909	6	5, 7		k = = 1 mod 2 (2) k = = 226 mod 227 (227)	none - proven	2 (10) 4 (1)
911	208	3, 19		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 6 mod 7 (7) k = = 12 mod 13 (13)	8 (300K) 18 (300K) 50 (300K) 172 (300K)	158 (181509) 182 (57327) 56 (19695) 70 (4818) 28 (4530) 136 (3190) 196 (1734) 128 (1299) 22 (540) 10 (336)
912	331	11, 83		k = = 910 mod 911 (911)	32 (300K) 67 (300K) 82 (300K) 98 (300K) 122 (300K) 138 (300K) 166 (300K) 197 (300K) 234 (300K) 248 (300K)	34 (230098) 318 (143201) 3 (132173) 298 (118230) 80 (35967) 113 (33032) 158 (20282) 139 (20261) 271 (8604) 297 (7251)
913	2540464	5, 7, 13, 109, 457		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 18 mod 19 (19)	31687 k's remaining at n=2.5K. To be shown later.	2379562 (2500) 1176462 (2500) 426838 (2500) 2115084 (2499) 1992696 (2499) 2149072 (2498) 1980012 (2498) 1085394 (2498) 696414 (2498) 148372 (2498)
914	4	3, 5		k = = 10 mod 11 (11) k = = 82 mod 83 (83)	2 (400K)	3 (12)
915	4266956	13, 229, 2477		k = = 1 mod 2 (2) k = = 456 mod 457 (457)	61769 k's remaining at n=2.5K. To be shown later.	3644646 (2500) 3525666 (2500) 3312666 (2500) 3108464 (2500) 2908460 (2500) 2415474 (2500) 2087660 (2500) 1986044 (2500) 1900478 (2500) 1336678 (2500)
916	132	7, 131		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 60 mod 61 (61)	none - proven	85 (1058) 33 (197) 57 (146) 22 (144) 82 (115) 73 (84) 130 (71) 31 (71) 111 (51) 76 (49)
917	16	3, 17		k = = 1 mod 2 (2) k = = 228 mod 229 (229)	2 (500K)	8 (53) 4 (22) 14 (9) 12 (4) 10 (2) 6 (1)
918	24812	5, 13, 919		k = = 6 mod 7 (7) k = = 130 mod 131 (131)	156 k's remaining at n=100K. See k's at Sierpinski Base 918 remain.	4971 (94549) 8208 (93900) 21715 (91845) 16167 (91042) 19357 (86816) 2956 (83981) 15186 (82888) 18924 (75089) 567 (74068) 13903 (71888)
919	24	5, 23		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 16 mod 17 (17)	none - proven	12 (45358) 6 (5092) 18 (386) 10 (8) 22 (1) 4 (1)
920	103	3, 7, 13, 19		k = = 918 mod 919 (919)	13 (300K) 14 (300K) 43 (300K) 64 (500K) 82 (300K)	68 (212407) 8 (107821) 4 (103686) 79 (43780) 61 (9644) 73 (5802) 32 (5493) 46 (1254) 69 (770) 76 (686)
922	285	13, 71		k = = 2 mod 3 (3) k = = 306 mod 307 (307)	30 (400K) 138 (400K) 214 (400K)	142 (16611) 282 (14114) 144 (11670) 159 (5986) 126 (3644) 72 (3310) 58 (2338) 186 (1857) 25 (1641) 4 (1179)	k = 1 is a GFn with no known prime.
923	8	3, 7		k = = 1 mod 2 (2) k = = 460 mod 461 (461)	none - proven	6 (41) 4 (10) 2 (1)
924	36	5, 37		k = = 12 mod 13 (13) k = = 70 mod 71 (71)	none - proven	14 (8031) 16 (386) 24 (49) 23 (43) 19 (19) 29 (15) 26 (14) 21 (10) 6 (10) 13 (9)	k = 1 is a GFn with no known prime.
926	205	3, 103		k = = 4 mod 5 (5) k = = 36 mod 37 (37)	17 (300K) 65 (300K) 103 (300K) 118 (300K)	137 (166603) 13 (103582) 5 (40035) 52 (29706) 121 (10886) 82 (6096) 10 (4998) 18 (4090) 102 (3443) 150 (2304)	k = 1 is a GFn with no known prime.
927	28624	5, 17, 29, 89		k = = 1 mod 2 (2) k = = 462 mod 463 (463)	454 k's remaining at n=25K. See k's at Sierpinski Base 927 remain.	1206 (24612) 7570 (24550) 16356 (24223) 5476 (23793) 13948 (23773) 12288 (23758) 28188 (23344) 15874 (23329) 20270 (23111) 21682 (22799)
928	27871	5, 13, 929		k = = 2 mod 3 (3) k = = 102 mod 103 (103)	529 k's remaining at n=25K. See k's at Sierpinski Base 928 remain.	11722 (24808) 19512 (24114) 277 (23898) 13747 (23392) 18828 (23051) 15930 (22914) 3628 (22828) 17272 (22600) 21061 (22515) 481 (22383)
929	4	3, 5		k = = 1 mod 2 (2) k = = 28 mod 29 (29)	none - proven	2 (99)
930	20	7, 19		k = = 928 mod 929 (929)	8 (400K)	7 (217) 13 (207) 9 (24) 15 (12) 14 (7) 11 (7) 19 (3) 16 (3) 17 (2) 10 (2)
931	37978	13, 53, 233		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 30 mod 31 (31)	26 k's remaining at n=100K. See k's at Sierpinski Base 931 remain.	28870 (99192) 29638 (98833) 36568 (97445) 1696 (91296) 37660 (74618) 24790 (70090) 23256 (69463) 35118 (68086) 8832 (61468) 4992 (61245)
932	310	3, 311		k = = 6 mod 7 (7) k = = 18 mod 19 (19)	23 (300K) 28 (300K) 77 (300K) 98 (300K) 122 (300K) 169 (300K) 212 (300K) 218 (300K) 224 (300K) 238 (300K) 263 (300K)	19 (187910) 241 (132236) 40 (71610) 154 (44138) 290 (37017) 134 (33535) 302 (25795) 278 (24761) 89 (19399) 145 (16936)	k = 1 is a GFn with no known prime.
933	3343252	5, 7, 13, 37, 467		k = = 1 mod 2 (2) k = = 232 mod 233 (233)	113075 k's remaining at n=2.5K. To be shown later.	3265912 (2500) 3160312 (2500) 2685828 (2500) 2640658 (2500) 2436352 (2500) 2186988 (2500) 1855706 (2500) 1801302 (2500) 1354218 (2500) 1349438 (2500)
934	16	5, 17		k = = 2 mod 3 (3) k = = 310 mod 311 (311)	none - proven	4 (101403) 9 (429) 12 (44) 7 (6) 6 (4) 15 (1) 13 (1) 10 (1) 3 (1)
935	14	3, 13		k = = 1 mod 2 (2) k = = 466 mod 467 (467)	10 (400K)	6 (8) 12 (3) 4 (2) 8 (1) 2 (1)
936	100260	7, 31, 37, 937		k = = 4 mod 5 (5) k = = 10 mod 11 (11) k = = 16 mod 17 (17)	92 k's remaining at n=100K. See k's at Sierpinski Base 936 remain.	87446 (97893) 36965 (94192) 50590 (92119) 60885 (91085) 79262 (88094) 74033 (87581) 3006 (86823) 18995 (82704) 74870 (81183) 72715 (78700)
937	202	7, 67		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 12 mod 13 (13)	none - proven	78 (2696) 186 (1017) 76 (319) 22 (260) 132 (159) 120 (154) 162 (86) 52 (70) 174 (45) 16 (44)
938	314	3, 313		k = = 936 mod 937 (937)	29 (300K) 31 (300K) 71 (300K) 91 (300K) 94 (300K) 124 (300K) 139 (300K) 151 (300K) 173 (300K) 181 (300K) 199 (300K) 216 (300K) 227 (300K) 278 (300K) 298 (300K) 304 (300K)	182 (128989) 286 (128944) 161 (86753) 52 (71936) 25 (63532) 98 (62867) 164 (50781) 221 (26565) 26 (22411) 101 (20631)	k = 1 is a GFn with no known prime.
939	46	5, 47		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 66 mod 67 (67)	none - proven	30 (137000) 8 (520) 36 (88) 38 (31) 12 (20) 22 (19) 26 (6) 44 (3) 24 (3) 4 (3)
940	5557	7, 73, 577		k = = 2 mod 3 (3) k = = 312 mod 313 (313)	45 k's remaining at n=100K. See k's at Sierpinski Base 940 remain.	4525 (96497) 4291 (88651) 241 (81773) 5260 (70077) 2785 (63569) 2712 (62213) 4710 (50218) 3142 (46024) 2089 (43616) 3076 (39990)	k = 940 is a GFn with no known prime.
941	158	3, 157		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 46 mod 47 (47)	none - proven	26 (127533) 156 (23309) 106 (14510) 118 (11780) 10 (8508) 42 (7988) 60 (2144) 80 (157) 142 (102) 66 (95)
942	206	23, 41		k = = 940 mod 941 (941)	40 (400K) 137 (400K) 139 (400K)	113 (56965) 202 (28850) 37 (25835) 166 (25140) 20 (17720) 24 (5886) 123 (5256) 93 (2768) 142 (2488) 103 (1998)	k = 1 is a GFn with no known prime.
943	15636	5, 7, 13, 19, 59		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 156 mod 157 (157)	53 k's remaining at n=100K. See k's at Sierpinski Base 943 remain.	1306 (93200) 15304 (85197) 10068 (80828) 780 (77473) 13630 (75336) 3582 (73510) 58 (63523) 6588 (63467) 424 (63363) 13744 (60702)
944	4	3, 5		k = = 22 mod 23 (23) k = = 40 mod 41 (41)	none - proven	3 (1) 2 (1)	k = 1 is a GFn with no known prime.
945	386	11, 43		k = = 1 mod 2 (2) k = = 58 mod 59 (59)	186 (400K) 296 (400K) 320 (400K)	244 (85970) 350 (2918) 118 (727) 62 (713) 162 (480) 362 (419) 218 (377) 144 (350) 364 (294) 246 (287)
947	80	3, 79		k = = 1 mod 2 (2) k = = 10 mod 11 (11) k = = 42 mod 43 (43)	2 (400K) 34 (400K) 68 (400K)	22 (870) 16 (700) 48 (401) 56 (109) 64 (70) 72 (42) 36 (29) 70 (20) 38 (17) 62 (11)
948	38	5, 13, 17		k = = 946 mod 947 (947)	none - proven	16 (2193) 2 (1242) 28 (358) 27 (196) 9 (194) 17 (97) 10 (79) 12 (69) 33 (54) 32 (26)	k = 1 is a GFn with no known prime.
949	246	5, 19		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 78 mod 79 (79)	none - proven	208 (50171) 244 (35995) 54 (35319) 172 (1510) 94 (1245) 52 (885) 210 (770) 46 (770) 34 (329) 178 (316)
950	316	3, 317		k = = 12 mod 13 (13) k = = 72 mod 73 (73)	32 (400K) 34 (400K) 52 (400K) 53 (400K) 100 (400K)	22 (37424) 241 (24518) 170 (24241) 176 (11909) 55 (9596) 296 (8923) 139 (8540) 187 (6502) 244 (6074) 292 (4650)
951	50	7, 17		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 18 mod 19 (19)	none - proven	36 (6892) 42 (1525) 20 (377) 48 (145) 30 (46) 12 (32) 26 (11) 38 (8) 32 (4) 22 (4)
952	5503	5, 13, 37, 41, 43		k = = 2 mod 3 (3) k = = 316 mod 317 (317)	66 (100K) 147 (100K) 322 (100K) 583 (100K) 603 (100K) 712 (100K) 718 (100K) 790 (100K) 1401 (100K) 1492 (100K) 1617 (100K) 2329 (100K) 2703 (100K) 2779 (100K) 3676 (100K) 4006 (100K) 4092 (100K) 4170 (100K) 4354 (100K) 4363 (100K) 4444 (100K) 4552 (100K) 4794 (100K) 5167 (100K) 5412 (100K)	5413 (99768) 207 (95930) 1111 (86803) 1108 (77720) 4944 (76370) 3195 (71184) 2793 (69268) 196 (65649) 5323 (61302) 706 (58148)
953	52	3, 53		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 16 mod 17 (17)	8 (400K)	14 (97789) 44 (5845) 22 (2050) 46 (844) 40 (232) 4 (18) 38 (11) 24 (10) 36 (8) 26 (7)
954	381	5, 191		k = = 952 mod 953 (953)	34 (300K) 126 (300K) 174 (300K) 181 (300K) 184 (300K) 229 (300K) 261 (300K) 269 (300K) 304 (300K) 306 (300K) 324 (300K) 327 (300K) 336 (300K) 341 (300K) 376 (300K)	119 (276761) 351 (41442) 334 (26017) 311 (18078) 13 (17159) 281 (15634) 164 (15017) 361 (10972) 374 (10971) 289 (10241)	k = 1 is a GFn with no known prime.
955	981094	7, 31, 157, 239		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 52 mod 53 (53)	2322 k's remaining at n=75K. See k's at Sierpinski Base 955 remain.	274686 (74924) 184848 (74727) 833500 (74683) 284506 (74676) 415158 (74619) 424792 (74497) 918700 (74395) 259806 (74378) 232570 (74244) 879166 (74146)
956	10	3, 11		k = = 4 mod 5 (5) k = = 190 mod 191 (191)	none - proven	5 (9) 3 (3) 7 (2) 8 (1) 6 (1) 2 (1)
957	19638	5, 13, 479		k = = 1 mod 2 (2) k = = 238 mod 239 (239)	143 k's remaining at n=100K. See k's at Sierpinski Base 957 remain.	12966 (96860) 7442 (94519) 13008 (94432) 12052 (86915) 15224 (86275) 14974 (78578) 6820 (76118) 5156 (72284) 5756 (71539) 6592 (70624)
958	412	7, 137		k = = 2 mod 3 (3) k = = 10 mod 11 (11) k = = 28 mod 29 (29)	48 (400K) 363 (400K)	13 (101751) 342 (43041) 400 (40344) 183 (31062) 316 (8124) 309 (7850) 286 (6379) 141 (3708) 237 (2473) 387 (2234)	k = 1 is a GFn with no known prime.
959	4	3, 5		k = = 1 mod 2 (2) k = = 478 mod 479 (479)	none - proven	2 (5)
961	1000	13, 37		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5)	630 (300K) 688 (300K) 766 (300K) 778 (300K) 846 (300K) 886 (300K) 892 (300K)	820 (63536) 316 (30374) 586 (7864) 636 (4337) 508 (3594) 390 (1479) 682 (1352) 300 (1190) 456 (916) 696 (554)
962	106	3, 107		k = = 30 mod 31 (31)	47 (300K) 68 (300K) 77 (300K) 94 (300K)	62 (244403) 17 (192155) 4 (84234) 71 (69703) 8 (47221) 34 (34834) 79 (15814) 88 (10884) 23 (8493) 32 (3943)
964	771	5, 193		k = = 2 mod 3 (3) k = = 106 mod 107 (107)	51 (300K) 99 (300K) 126 (300K) 184 (300K) 241 (300K) 451 (300K) 481 (300K) 486 (300K) 516 (300K) 546 (300K) 556 (300K) 564 (300K) 579 (300K) 694 (300K)	34 (160951) 270 (136805) 271 (60072) 766 (58970) 631 (47742) 174 (45275) 354 (31733) 306 (28138) 411 (12600) 111 (7354)	k = 1 is a GFn with no known prime.
965	8	3, 7		k = = 1 mod 2 (2) k = = 240 mod 241 (241)	none - proven	4 (62) 6 (1) 2 (1)
967	144	5, 11, 13		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 22 mod 23 (23)	none - proven	88 (1577) 142 (55) 54 (51) 112 (44) 102 (19) 78 (14) 136 (11) 40 (9) 52 (8) 72 (6)
968	16	3, 17		k = = 966 mod 967 (967)	11 (400K)	2 (917) 10 (162) 4 (90) 6 (40) 15 (20) 7 (8) 8 (7) 5 (3) 13 (2) 3 (2)	k = 1 is a GFn with no known prime.
969	96	5, 97		k = = 1 mod 2 (2) k = = 10 mod 11 (11)	none - proven	26 (8714) 6 (5888) 66 (1068) 52 (621) 94 (113) 44 (107) 86 (90) 24 (83) 46 (56) 30 (24)
970	430152	13, 157, 971		k = = 2 mod 3 (3) k = = 16 mod 17 (17) k = = 18 mod 19 (19)	3258 k's remaining at n=10K. See k's at Sierpinski Base 970 remain.	89554 (10000) 95269 (9994) 347085 (9986) 112507 (9973) 115477 (9971) 135537 (9961) 171939 (9960) 264507 (9959) 47011 (9958) 25926 (9954)	k = 970 is a GFn with no known prime.
971	14876	3, 7, 13, 79		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 96 mod 97 (97)	342 k's remaining at n=100K. See k's at Sierpinski Base 971 remain.	4978 (100000) 3572 (99345) 1852 (96924) 10970 (96601) 1810 (96596) 8810 (93911) 10540 (90000) 10742 (89745) 9002 (88311) 4166 (84923)
972	279	7, 139		k = = 970 mod 971 (971)	41 (300K) 64 (300K) 100 (300K) 162 (300K) 167 (300K) 176 (300K) 182 (300K) 183 (300K)	138 (156865) 120 (124768) 36 (58552) 79 (50178) 106 (44032) 27 (41803) 194 (40475) 50 (29594) 274 (11102) 57 (5710)
973	9252	5, 17, 487		k = = 1 mod 2 (2) k = = 2 mod 3 (3)	27 k's remaining at n=100K. See k's at Sierpinski Base 973 remain.	8242 (96058) 4254 (85066) 7816 (81736) 8178 (77348) 8502 (76933) 5286 (75587) 6408 (65882) 7050 (62382) 76 (59887) 2034 (49117)
974	4	3, 5		k = = 6 mod 7 (7) k = = 138 mod 139 (139)	none - proven	3 (7) 2 (1)	k = 1 is a GFn with no known prime.
975	375364	7, 67, 2029		k = = 1 mod 2 (2) k = = 486 mod 487 (487)	2920 k's remaining at n=10K. See k's at Sierpinski Base 975 remain.	29826 (9997) 249030 (9987) 46394 (9978) 366824 (9977) 96440 (9973) 355130 (9970) 238082 (9961) 231600 (9951) 195410 (9951) 172934 (9943)
976	4492245	7, 19, 67, 977		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 12 mod 13 (13)	48740 k's remaining at n=2.5K. To be shown later.	4211995 (2500) 3213487 (2500) 4394331 (2499) 3709747 (2499) 3181560 (2499) 3051561 (2499) 1257328 (2499) 569590 (2499) 3963817 (2498) 3917530 (2498)	k = 976 and 952576 are GFn's with no known prime.
977	160	3, 7, 13, 19, 53		k = = 1 mod 2 (2) k = = 60 mod 61 (61)	34 (300K) 62 (300K) 68 (300K) 76 (300K) 110 (300K) 116 (300K) 122 (300K)	38 (299737) 10 (125872) 80 (18615) 6 (6404) 124 (4278) 134 (3673) 96 (3000) 40 (1580) 158 (1297) 146 (649)
978	177	11, 89		k = = 976 mod 977 (977)	12 (300K) 21 (300K) 43 (300K) 144 (300K)	151 (71003) 173 (68898) 153 (41023) 34 (29366) 142 (6649) 129 (3311) 113 (2375) 103 (2167) 157 (1692) 162 (1526)	k = 1 is a GFn with no known prime.
979	6	5, 7		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 162 mod 163 (163)	none - proven	4 (1)
980	110	3, 109		k = = 10 mod 11 (11) k = = 88 mod 89 (89)	25 (400K)	94 (129356) 44 (103071) 38 (60283) 77 (2309) 70 (592) 103 (426) 79 (324) 84 (243) 64 (238) 4 (182)	k = 1 is a GFn with no known prime.
982	39640	7, 43, 1069		k = = 2 mod 3 (3) k = = 108 mod 109 (109)	816 k's remaining at n=25K. See k's at Sierpinski Base 982 remain.	10387 (24983) 28990 (24588) 30268 (24328) 25791 (24065) 39421 (23913) 19782 (23912) 19707 (23804) 6471 (23780) 12465 (23680) 20572 (23551)
983	40	3, 41		k = = 1 mod 2 (2) k = = 490 mod 491 (491)	8 (400K)	16 (22248) 26 (673) 22 (442) 12 (141) 32 (69) 6 (20) 30 (17) 36 (11) 38 (7) 18 (6)
984	196	5, 197		k = = 982 mod 983 (983)	129 (300K) 160 (300K) 194 (300K)	19 (257291) 81 (214452) 101 (153924) 69 (27067) 178 (19420) 26 (12738) 98 (9161) 54 (4677) 86 (4266) 162 (4101)
985	900	7, 29		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 40 mod 41 (41)	526 (500K) 666 (500K) 766 (500K)	88 (296644) 610 (63334) 288 (9869) 528 (1062) 282 (790) 222 (760) 838 (491) 178 (449) 324 (418) 256 (312)
986	8	3, 7		k = = 4 mod 5 (5) k = = 196 mod 197 (197)	none - proven	6 (21633) 7 (6) 3 (3) 5 (1) 2 (1)
987	170	13, 19		k = = 1 mod 2 (2) k = = 16 mod 17 (17) k = = 28 mod 29 (29)	none - proven	142 (45547) 92 (28564) 96 (13820) 22 (4174) 90 (1669) 134 (1254) 112 (499) 42 (138) 62 (68) 166 (51)
988	1678	23, 43		k = = 2 mod 3 (3) k = = 6 mod 7 (7) k = = 46 mod 47 (47)	24 (300K) 343 (300K) 714 (300K) 732 (300K) 859 (300K) 898 (300K) 1542 (300K)	1261 (246031) 1540 (84185) 730 (58605) 684 (51125) 162 (35078) 903 (28887) 1114 (22457) 582 (13608) 351 (13501) 702 (12136)	k = 1 and 988 are GFn's with no known prime.
989	4	3, 5		k = = 1 mod 2 (2) k = = 12 mod 13 (13) k = = 18 mod 19 (19)	none - proven	2 (1)
990	838385	7, 13, 17, 61, 991		k = = 22 mod 23 (23) k = = 42 mod 43 (43)	11957 k's remaining at n=2.5K. To be shown later.	779349 (2500) 247320 (2500) 197534 (2500) 578788 (2499) 339290 (2499) 9242 (2499) 774210 (2497) 62476 (2497) 722451 (2495) 716925 (2495)
991	5262	7, 13, 277		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 10 mod 11 (11)	402 (300K) 2196 (300K) 2662 (300K) 2778 (300K) 3832 (300K) 4612 (300K) 4620 (300K)	2688 (246849) 1260 (218477) 2016 (178654) 4602 (106702) 2436 (60482) 4266 (44079) 3702 (38569) 4588 (37300) 2710 (25911) 2350 (25047)
992	332	3, 331		k = = 990 mod 991 (991)	45 k's remaining at n=100K. See k's at Sierpinski Base 992 remain.	295 (93988) 182 (77755) 151 (52836) 229 (26230) 185 (26147) 64 (25886) 62 (20515) 152 (20427) 32 (17619) 50 (12751)
993	36	5, 7, 37		k = = 1 mod 2 (2) k == 30 mod 31 (31)	6 (520K) 8 (520K)	34 (469245) 28 (104) 2 (39) 32 (13) 22 (8) 18 (3) 12 (2) 26 (1) 24 (1) 20 (1)
994	399	5, 199		k = = 2 mod 3 (3) k = = 330 mod 331 (331)	30 (300K) 81 (300K) 201 (300K) 211 (300K) 261 (300K)	354 (166791) 271 (127298) 19 (46333) 166 (22046) 46 (21588) 106 (18202) 244 (7935) 294 (6429) 112 (6069) 151 (4654)	k = 1 is a GFn with no known prime.
995	82	3, 83		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 70 mod 71 (71)	none - proven	64 (63550) 68 (1237) 46 (1220) 26 (63) 22 (56) 72 (42) 8 (35) 40 (34) 16 (30) 52 (24)
996	5841	7, 19, 43, 127		k = = 4 mod 5 (5) k = = 198 mod 199 (199)	49 k's remaining at n=100K. See k's at Sierpinski Base 996 remain.	3073 (99001) 1322 (90098) 4371 (79730) 1312 (75299) 3375 (58855) 2471 (55783) 4643 (54586) 5717 (47550) 2371 (42976) 3067 (39485)
997	36048	7, 13, 31, 127		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 82 mod 83 (83)	238 k's remaining at n=100K. See k's at Sierpinski Base 997 remain.	8826 (99661) 21432 (97223) 22584 (95918) 34726 (92648) 9840 (92270) 17776 (92251) 9102 (91800) 19884 (91651) 32890 (89128) 14044 (86394)
998	38	3, 37		k = = 996 mod 997 (997)	12 (400K)	8 (81239) 34 (9454) 30 (1205) 16 (1092) 24 (591) 17 (321) 31 (268) 13 (160) 28 (106) 10 (88)	k = 1 is a GFn with no known prime.
999	3234	5, 17, 149		k = = 1 mod 2 (2) k = = 498 mod 499 (499)	63 k's remaining at n=100K. See k's at Sierpinski Base 999 remain.	1446 (97756) 846 (94984) 2166 (82938) 1798 (76539) 1294 (76205) 1608 (74987) 1566 (73780) 376 (73110) 1286 (72538) 2854 (71583)
1000	12	11, 13	All k = m^3 for all n; factors to: (m10^n + 1) (m^2100^n - m10^n + 1)	k = = 2 mod 3 (3) k = = 36 mod 37 (37)	none - proven	6 (3) 9 (1) 7 (1) 4 (1) 3 (1)	k = 1 proven composite by full algebraic factors. k = 10 is a GFn with no known prime.
1001	166	3, 167		k = = 1 mod 2 (2) k = = 4 mod 5 (5)	none - proven	46 (50860) 110 (41547) 100 (5096) 32 (4719) 136 (4000) 22 (1466) 30 (619) 26 (269) 140 (151) 158 (121)
1002	1240	17, 59		k = = 6 mod 7 (7) k = = 10 mod 11 (11) k = = 12 mod 13 (13)	492 (300K) 613 (300K) 707 (300K) 917 (300K)	152 (235971) 1106 (79136) 171 (53356) 154 (48610) 409 (46198) 448 (10369) 341 (7996) 23 (7357) 877 (6024) 1020 (5770)	k = 1 and 1002 are GFn's with no known prime.
1003	4768	5, 29, 251		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 166 mod 167 (167)	94 (100K) 346 (100K) 768 (100K) 784 (100K) 1042 (100K) 1140 (100K) 1816 (100K) 1858 (100K) 2406 (100K) 2656 (100K) 3034 (100K) 3100 (100K) 3216 (100K) 3334 (100K) 3552 (100K) 3724 (100K) 3736 (100K) 4062 (100K) 4098 (100K) 4170 (100K) 4284 (100K) 4420 (100K) 4612 (100K) 4632 (100K)	888 (95494) 262 (75384) 2490 (73779) 214 (73323) 958 (69104) 2232 (65221) 318 (53162) 1768 (53159) 4042 (47202) 2158 (45556)
1004	4	3, 5		k = = 16 mod 17 (17) k = = 58 mod 59 (59)	2 (600K)	3 (19)
1005	54610	7, 97, 1489		k = = 1 mod 2 (2) k = = 250 mod 251 (251)	225 k's remaining at n=100K. See k's at Sierpinski Base 1005 remain.	17086 (98113) 49292 (94596) 16238 (92256) 49462 (92007) 52230 (91759) 27196 (91724) 38694 (87998) 23222 (85950) 29446 (85398) 35072 (84389)
1006	531	19, 53		k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 66 mod 67 (67)	96 (500K) 151 (500K) 172 (500K) 303 (500K) 381 (500K)	417 (62457) 183 (1376) 85 (1172) 447 (916) 382 (832) 411 (736) 340 (568) 478 (176) 298 (174) 235 (129)	k = 1 is a GFn with no known prime.
1007	8	3, 7		k = = 1 mod 2 (2) k = = 502 mod 503 (503)	none - proven	2 (7) 4 (6) 6 (1)
1008	12730554	5, 17, 93, 241, 1009		k = = 18 mod 19 (19) k = = 52 mod 53 (53)	350616 k's remaining at n=2.5K. To be shown later.	12394673 (2500) 12302175 (2500) 12246428 (2500) 12163756 (2500) 11753021 (2500) 11674941 (2500) 11541178 (2500) 11456848 (2500) 11219597 (2500) 11219266 (2500)	k = 1008 and 1016064 are GFn's with no known prime.
1009	304	5, 101		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 6 mod 7 (7)	144 (400K)	294 (92571) 246 (80266) 46 (58772) 276 (5004) 66 (3456) 136 (2950) 138 (1128) 84 (203) 82 (194) 168 (147)
1010	338	3, 337		k = = 1008 mod 1009 (1009)	43 (300K) 73 (300K) 75 (300K) 122 (300K) 125 (300K) 131 (300K) 138 (300K) 194 (300K) 215 (300K) 251 (300K) 269 (300K) 271 (300K) 283 (300K) 290 (300K) 313 (300K)	68 (283267) 316 (150468) 336 (53583) 195 (51101) 337 (32704) 44 (19659) 151 (19070) 95 (17709) 238 (11164) 311 (9827)
1011	208	11, 23		k = = 1 mod 2 (2) k = = 4 mod 5 (5) k = = 100 mod 101 (101)	none - proven	116 (998) 138 (510) 186 (493) 122 (180) 22 (167) 38 (151) 196 (136) 86 (134) 142 (117) 178 (66)
1012	16207	5, 257, 1013		k = = 2 mod 3 (3) k = = 336 mod 337 (337)	104 k's remaining at n=100K. See k's at Sierpinski Base 1012 remain.	6016 (96459) 15657 (95876) 14670 (94932) 1305 (94375) 12886 (88973) 9439 (87789) 14041 (87713) 16204 (85465) 2904 (84878) 10389 (83635)	k = 1012 is a GFn with no known prime.
1013	14	3, 13		k = = 1 mod 2 (2) k = = 10 mod 11 (11) k = = 22 mod 23 (23)	none - proven	8 (43871) 4 (2) 12 (1) 6 (1) 2 (1)
1014	6	5, 7		k = = 1012 mod 1013 (1013)	none - proven	5 (3) 3 (3) 4 (1) 2 (1)	k = 1 is a GFn with no known prime.
1015	12079606	127, 373, 1381		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 12 mod 13 (13)	45006 k's remaining at n=2.5K. To be shown later.	11607448 (2500) 7372206 (2500) 6979038 (2500) 6674566 (2500) 4971162 (2500) 2402994 (2500) 2294754 (2500) 1435780 (2500) 1216276 (2500) 1006570 (2500)
1016	112	3, 113		k = = 4 mod 5 (5) k = = 6 mod 7 (7) k = = 28 mod 29 (29)	none - proven	103 (62932) 22 (3548) 46 (3250) 61 (614) 40 (566) 35 (335) 50 (149) 98 (147) 102 (129) 2 (119)	k = 1 is a GFn with no known prime.
1017	1494	7, 13, 31		k = = 1 mod 2 (2) k = = 126 mod 127 (127)	52 (259K) 82 (259K) 88 (259K) 332 (259K) 432 (259K) 626 (259K) 706 (259K) 766 (259K) 818 (259K) 824 (259K) 882 (259K) 1018 (259K) 1156 (259K) 1272 (259K) 1468 (259K)	40 (215605) 732 (115542) 1006 (99013) 278 (59509) 186 (39237) 212 (36396) 1060 (28767) 812 (27331) 956 (23796) 562 (21168)
1018	77443	7, 19, 31, 1019		k = = 2 mod 3 (3) k = = 112 mod 113 (113)	1534 k's remaining at n=25K. See k's at Sierpinski Base 1018 remain.	64392 (24970) 60513 (24932) 16137 (24924) 30699 (24825) 70629 (24778) 49108 (24756) 71334 (24747) 24483 (24591) 57499 (24590) 47242 (24573)
1019	4	3, 5		k = = 1 mod 2 (2) k = = 508 mod 509 (509)	none - proven	2 (1)
1020	95696289	101, 1021, 10301		k = = 1018 mod 1019 (1019)		No testing done.	k = 1020 and 1040400 are GFn's with no known prime.
1021	2262	7, 73		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 4 mod 5 (5) k = = 16 mod 17 (17)	636 (300K) 778 (300K) 820 (300K) 2050 (300K)	1702 (208948) 1678 (138869) 120 (138704) 802 (110221) 1140 (104265) 930 (98125) 28 (89452) 1278 (44186) 1786 (42066) 1492 (17180)
1022	8	3, 5, 13		k = = 1020 mod 1021 (1021)	none - proven	2 (727) 7 (36) 4 (6) 5 (5) 6 (1) 3 (1)
1023	632462	13, 61, 1321		k = = 1 mod 2 (2) k = = 6 mod 7 (7) k = = 72 mod 73 (73)	2531 k's remaining at n=25K. See k's at Sierpinski Base 1023 remain.	250626 (24979) 45588 (24942) 527492 (24940) 283176 (24924) 316220 (24923) 536774 (24894) 509428 (24804) 535078 (24799) 519216 (24756) 521102 (24681)
1025	20	3, 19		k = = 1 mod 2 (2)	none - proven	14 (89) 10 (22) 2 (15) 8 (11) 16 (8) 4 (2) 18 (1) 12 (1) 6 (1)
1026	157	13, 79		k = = 4 mod 5 (5) k = = 40 mod 41 (41)	none - proven	38 (25645) 12 (5097) 66 (2140) 117 (342) 146 (277) 110 (245) 73 (244) 101 (229) 87 (144) 131 (56)	k = 1 is a GFn with no known prime.
1027	84552	5, 29, 257		k = = 1 mod 2 (2) k = = 2 mod 3 (3) k = = 18 mod 19 (19)	222 k's remaining at n=200K. See k's at Sierpinski Base 1027 remain.	68398 (199397) 6292 (198459) 30364 (194319) 56064 (193573) 63348 (191392) 72844 (191206) 46498 (187913) 73246 (184192) 11682 (179399) 62176 (175956)
1028	8	3, 7		k = = 12 mod 13 (13) k = = 78 mod 79 (79)	none - proven	6 (1437) 2 (669) 7 (16) 5 (9) 3 (8) 4 (2)
1029	104	5, 103		k = = 1 mod 2 (2) k = = 256 mod 257 (257)	none - proven	34 (106501) 54 (459) 100 (171) 76 (82) 4 (55) 26 (50) 52 (41) 36 (40) 80 (32) 32 (31)
1030	75345	13, 73, 373		k = = 2 mod 3 (3) k = = 6 mod 7 (7)	193 k's remaining at n=100K. See k's at Sierpinski Base 1030 remain.	8479 (99118) 3028 (98500) 15976 (98135) 58044 (96395) 40681 (93464) 3810 (93045) 5248 (92068) 22006 (87331) 41878 (86450) 3733 (85172)	k = 1030 is a GFn with no known prime.

Original information obtained from:
Mersenneforum Prime Search Projects Conjectures 'R Us threads:
   Sierpinski/Riesel-Base 22
   Sierpinski/Riesel bases 6 to 18
   Sierpinski base 4
   Sierpinski/Riesel Base 10
   Sierpinski/Riesel-Base 23
   Even k's and the Riesel conjecture
   Even k's and the Sierpinski conjecture
Mersenneforum Prime Search Projects Sierpinski/Riesel Base 5 forum
Riesel Prime database
Riesel Problem project
Seventeen or Bust project
Top 5000 primes

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