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Proth prime table
Overview
Automatically generated table from available Proth primes.
Explanations
The colors used in the table are defined as:
- : k-value is reserved
- : k-value is not reserved
Primes table
There are 138 sequences:
| k | Type | Date | max n | Nash | # | Primes for n |
|---|---|---|---|---|---|---|
| 1 | Low | 2010-10-01 FermatSearch |
8,589,934,591 | 39 | 5 | 1, 2, 4, 8, 16 |
| 3 | 3 | 2021-12-02 PrimeGrid 321 Prime Search (MR22) |
18,000,000 | 2132 | 50 | 1, 2, 5, 6, 8, 12, 18, 30, 36, 41, 66, 189, 201, 209, 276, 353, 408, 438, 534, 2208, 2816, 3168, 3189, 3912, 20909, 34350, 42294, 42665, 44685, 48150, 54792, 55182, 59973, 80190, 157169, 213321, 303093, 362765, 382449, 709968, 801978, 916773, 1832496, 2145353, 2291610, 2478785, 5082306, 7033641, 10829346, 16408818 |
| 5 | Low | 2021-04-01 | 9,000,000 | 891 | 25 | 1, 3, 7, 13, 15, 25, 39, 55, 75, 85, 127, 1947, 3313, 4687, 5947, 13165, 23473, 26607, 125413, 209787, 240937, 819739, 1282755, 1320487, 1777515 |
| 7 | 2021-04-01 | 9,000,000 | 2144 | 42 | 2, 4, 6, 14, 20, 26, 50, 52, 92, 120, 174, 180, 190, 290, 320, 390, 432, 616, 830, 1804, 2256, 6614, 13496, 15494, 16696, 22386, 54486, 88066, 95330, 207084, 283034, 561816, 804534, 811230, 1491852, 2139912, 2167800, 2915954, 3015762, 3511774, 5775996, 18233956 | |
| 9 | 3 | 2021-04-01 | 4,000,000 | 2297 | 66 | 1, 2, 3, 6, 7, 11, 14, 17, 33, 42, 43, 63, 65, 67, 81, 134, 162, 206, 211, 366, 663, 782, 1305, 1411, 1494, 2297, 2826, 3230, 3354, 3417, 3690, 4842, 5802, 6937, 7967, 9431, 13903, 22603, 24422, 39186, 43963, 47003, 49902, 67943, 114854, 127003, 145247, 147073, 149143, 304607, 384990, 412034, 435743, 461081, 834810, 1051026, 1807574, 2543551, 3497442, 5642513, 9778263, 11158963, 11366286, 11500843, 12406887, 13334487 |
| 11 | 2021-04-01 | 9,000,000 | 1387 | 34 | 1, 3, 5, 7, 19, 21, 43, 81, 125, 127, 209, 211, 3225, 4543, 10179, 15329, 18759, 28277, 93279, 105741, 268009, 412447, 525589, 644677, 886071, 960901, 1343347, 2230369, 2476839, 2691961, 2897409, 3771821, 8103463, 9381365 | |
| 13 | Low | 2021-04-01 | 9,000,000 | 920 | 26 | 2, 8, 10, 20, 28, 82, 188, 308, 316, 1000, 28280, 38008, 43856, 88018, 109258, 114296, 521306, 562456, 684560, 1038896, 1499876, 1861732, 4998362, 5523860, 6481780, 8989858 |
| 15 | 315 | 2021-04-01 | 9,000,000 | 2873 | 63 | 1, 2, 4, 9, 10, 12, 27, 37, 38, 44, 48, 78, 112, 168, 229, 297, 339, 517, 522, 654, 900, 1518, 2808, 2875, 3128, 3888, 4410, 6804, 7050, 7392, 19219, 21445, 21550, 24105, 24995, 34224, 34260, 43388, 48444, 61758, 184290, 294894, 300488, 403929, 483098, 635989, 701902, 734400, 1229600, 1244377, 1276177, 1368428, 1418605, 1597510, 1667744, 2393365, 2785940, 2988834, 3162659, 4246384, 4800315, 7300254, 7619838 |
| 17 | Low | 2021-04-01 | 9,000,000 | 672 | 20 | 3, 15, 27, 51, 147, 243, 267, 347, 471, 747, 2163, 3087, 5355, 6539, 7311, 99231, 824451, 1388355, 1990299, 8636199 |
| 19 | Low | 2021-04-01 | 9,000,000 | 828 | 21 | 6, 10, 46, 366, 1246, 2038, 4386, 4438, 6838, 7498, 7998, 9450, 11890, 17034, 23290, 73338, 149146, 323638, 853546, 2206266, 6833086 |
| 21 | 3 | 2021-04-01 | 9,000,000 | 2374 | 48 | 1, 4, 5, 7, 9, 12, 16, 17, 41, 124, 128, 129, 187, 209, 276, 313, 397, 899, 1532, 1613, 1969, 2245, 2733, 4585, 4644, 6712, 6981, 13344, 17524, 27124, 29769, 47337, 55828, 91008, 94801, 164901, 179457, 191337, 200568, 220992, 686632, 856865, 1022168, 1240067, 1421741, 1830919, 3065701, 6048861 |
| 23 | Low | 2021-04-01 | 9,000,000 | 826 | 19 | 1, 9, 13, 29, 41, 49, 69, 73, 341, 381, 389, 649, 1961, 3929, 977541, 1399841, 1448461, 2425641, 4300741 |
| 25 | 2021-04-01 | 9,000,000 | 2198 | 45 | 2, 4, 6, 10, 20, 22, 52, 64, 78, 184, 232, 268, 340, 448, 554, 664, 740, 748, 1280, 1328, 1640, 3314, 3904, 3938, 5152, 9522, 57488, 66872, 148060, 154254, 216092, 302194, 367294, 627710, 966414, 1211488, 1258562, 1298186, 2141884, 2583690, 2927222, 3733144, 4481024, 8456828, 8788628 | |
| 27 | 3 | 2021-07-26 PrimeGrid 27121 Prime Search (MR23) |
8,850,000 | 2142 | 49 | 2, 4, 7, 16, 19, 20, 22, 26, 40, 44, 46, 47, 50, 56, 59, 64, 92, 175, 215, 275, 407, 455, 1076, 1090, 3080, 3322, 6419, 7639, 19360, 30500, 38770, 44164, 50696, 114760, 117784, 153847, 160874, 178739, 379880, 405514, 672007, 974752, 1164664, 1476347, 2218064, 5213635, 7046834, 7963247, 12184319 |
| 29 | 2021-04-01 | 9,000,000 | 2120 | 45 | 1, 3, 5, 11, 27, 43, 57, 75, 77, 93, 103, 143, 185, 231, 245, 391, 1053, 1175, 2027, 3627, 4727, 5443, 7927, 8533, 9067, 14185, 25723, 88117, 96947, 144937, 219317, 252227, 261031, 339123, 343601, 627167, 742191, 800191, 1152765, 1416873, 1574753, 3964697, 4532463, 7374577, 7899985 | |
| 31 | Low | 2021-04-01 | 9,000,000 | 839 | 14 | 8, 60, 68, 140, 216, 416, 1808, 1944, 9096, 76596, 93168, 4673544, 5560820, 8348000 |
| 33 | 3 | 2021-04-01 | 9,000,000 | 1960 | 41 | 1, 6, 13, 18, 21, 22, 25, 28, 66, 93, 118, 289, 412, 453, 525, 726, 828, 1420, 1630, 3076, 3118, 4452, 4941, 5236, 6346, 9133, 13401, 14214, 18766, 37249, 42685, 47805, 61372, 74178, 600270, 922782, 1130884, 2345001, 3176269, 3570132, 3649810 |
| 35 | 2021-04-01 | 9,000,000 | 2115 | 43 | 1, 3, 7, 9, 13, 15, 31, 45, 47, 49, 55, 147, 245, 327, 355, 663, 1423, 1443, 2493, 3627, 4737, 6541, 9667, 22645, 27321, 61963, 68281, 144397, 151741, 187859, 191509, 273251, 494607, 696935, 768063, 831411, 1040005, 1357881, 1765449, 2099769, 2241049, 3570777, 3587843 | |
| 37 | 2021-04-01 | 9,000,000 | 2532 | 53 | 2, 4, 8, 10, 12, 16, 22, 26, 68, 82, 84, 106, 110, 166, 236, 254, 286, 290, 712, 1240, 1706, 1804, 1904, 2240, 2632, 3104, 5870, 8750, 11514, 11972, 14434, 16322, 18044, 19050, 23014, 32424, 59354, 62350, 120196, 157128, 167326, 211056, 218550, 230716, 233968, 239902, 256954, 331144, 548012, 551830, 939364, 2128328, 4046360 | |
| 39 | 3 | 2021-04-01 | 9,000,000 | 3219 | 88 | 1, 2, 3, 5, 7, 10, 11, 13, 14, 18, 21, 22, 31, 42, 67, 70, 71, 73, 251, 370, 375, 389, 407, 518, 818, 865, 1057, 1602, 2211, 3049, 4802, 4865, 5317, 7583, 8061, 9853, 10217, 12103, 13721, 14927, 15441, 15931, 16709, 18907, 20221, 21882, 25654, 28437, 30325, 31485, 33593, 37393, 46362, 62429, 66971, 77242, 82191, 94449, 105063, 107778, 113490, 113549, 138009, 204681, 378861, 421590, 510595, 512997, 529642, 534973, 555902, 587850, 634441, 778233, 1612681, 1824871, 2188855, 2705367, 2978894, 3240990, 3961129, 4657951, 5119458, 6164630, 6648997, 6684941, 7946769, 8413422 |
| 41 | Low | 2021-04-01 | 9,000,000 | 893 | 17 | 1, 11, 19, 215, 289, 379, 1991, 7607, 8411, 12493, 13235, 13823, 274897, 364861, 462023, 1530313, 5651731 |
| 43 | 2021-04-01 | 9,000,000 | 1641 | 37 | 2, 6, 12, 18, 26, 32, 94, 98, 104, 144, 158, 252, 778, 1076, 2974, 3022, 3528, 4344, 5322, 10416, 10422, 29862, 33526, 163354, 167618, 175542, 217584, 762212, 835934, 894766, 1087992, 1235298, 1795628, 1799016, 2795582, 2994958, 3063674 | |
| 45 | 315 | 2021-04-01 | 9,000,000 | 2581 | 57 | 2, 9, 12, 14, 23, 24, 29, 60, 189, 200, 333, 372, 443, 464, 801, 1374, 6146, 6284, 6359, 6923, 12293, 16679, 18660, 19301, 29240, 32018, 38457, 48612, 56754, 67394, 76416, 79160, 91403, 97116, 110303, 129731, 159318, 202304, 243321, 426653, 458712, 574506, 949353, 1086062, 1111703, 1134357, 1365167, 1427666, 1779971, 2014557, 2347187, 2507894, 2711732, 3677787, 5308037, 7513661, 7661004 |
| 47 | Low | 2021-04-01 | 9,000,000 | 197 | 3 | 583, 1483, 6115 |
| 49 | 2021-04-01 | 9,000,000 | 1209 | 25 | 2, 6, 10, 30, 42, 54, 66, 118, 390, 594, 1202, 2334, 6242, 7446, 11858, 48666, 68050, 72210, 88090, 113022, 406814, 501238, 1103430, 1646042, 3837090 | |
| 63 | 3 | 2013? | 3,322,000 | 3116 | 69 | 1, 4, 5, 9, 10, 14, 17, 18, 21, 25, 37, 38, 44, 60, 65, 94, 133, 153, 228, 280, 314, 326, 334, 340, 410, 429, 626, 693, 741, 768, 1150, 1290, 1441, 2424, 2478, 3024, 3293, 4956, 5221, 6416, 8480, 20746, 24633, 30053, 34074, 88366, 121917, 125218, 130221, 131325, 141497, 151269, 222861, 263413, 270094, 425028, 448833, 521925, 775857, 892164, 898308, 1070449, 1356980, 1530888, 1625970, 1686050, 1784498, 2807130, 2898957 |
| 121 | 2021-04-08 | 10,000,000 | 1004 | 25 | 8, 12, 44, 84, 96, 228, 264, 320, 732, 788, 1808, 7928, 12264, 37784, 59196, 91112, 112208, 168716, 251184, 264632, 272052, 513020, 636564, 674360, 9584444 | |
| 127 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1773 | 32 | 2, 12, 18, 24, 54, 72, 114, 180, 214, 504, 558, 964, 1098, 1420, 2764, 4322, 5582, 10538, 14634, 23970, 61054, 67618, 88958, 96744, 297350, 357840, 376162, 723530, 916980, 925012, 1472718, 1817862 | |
| 129 | 3 | 2014-09-15 | 3,328,805 | 2357 | 37 | 3, 5, 21, 27, 59, 75, 111, 287, 414, 786, 966, 1071, 2433, 2817, 3165, 4958, 5895, 12450, 39399, 50019, 57386, 72599, 75866, 82026, 112497, 268271, 284975, 478538, 564990, 630843, 739023, 851306, 872765, 1774709, 1956915, 2255199, 3328805 |
| 177 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 3473 | 75 | 2, 4, 6, 12, 16, 20, 23, 32, 38, 48, 54, 60, 100, 116, 118, 119, 140, 150, 163, 170, 190, 244, 271, 294, 299, 320, 334, 414, 439, 442, 468, 724, 794, 842, 864, 1032, 1750, 2050, 3980, 4010, 4756, 5096, 5963, 5966, 6836, 14160, 16748, 16844, 19814, 25398, 37702, 41148, 62159, 65806, 143626, 151308, 210340, 269320, 324326, 332846, 333364, 358114, 365164, 385438, 419600, 434336, 463598, 490500, 501106, 657458, 751028, 798443, 1121720, 2816050, 3411847 |
| 207 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 3570 | 69 | 2, 3, 4, 6, 7, 10, 14, 15, 16, 34, 42, 44, 46, 62, 66, 106, 127, 130, 171, 202, 231, 232, 238, 248, 256, 296, 314, 412, 604, 956, 1023, 1287, 1454, 1564, 1766, 2036, 5215, 5911, 6092, 9190, 9916, 10410, 13456, 14336, 14444, 15490, 30835, 32558, 34770, 41218, 46666, 56590, 58720, 62966, 63595, 70250, 128850, 141556, 186754, 288591, 317203, 555422, 755470, 1249252, 1471290, 1913067, 2649810, 2903535, 3095391 |
| 255 | 315 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 2629 | 66 | 2, 5, 32, 36, 38, 41, 57, 69, 71, 72, 116, 137, 156, 197, 237, 336, 353, 489, 545, 678, 1040, 1137, 1217, 1451, 1577, 1589, 1836, 3077, 4640, 4850, 5145, 7139, 7766, 8051, 9662, 11159, 13433, 13763, 15998, 16862, 19002, 25412, 35558, 47916, 48509, 86900, 88046, 116228, 161486, 253233, 265808, 373580, 411408, 463229, 668348, 883046, 884769, 942620, 1122897, 1155630, 1275596, 1675403, 1765113, 2488562, 2668448, 3395661 |
| 259 | Low | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 431 | 7 | 38, 70, 3230, 62918, 82878, 1282582, 3094582 |
| 261 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 4016 | 95 | 1, 3, 4, 5, 7, 9, 11, 27, 29, 37, 57, 59, 67, 71, 73, 101, 117, 155, 157, 160, 193, 195, 208, 273, 303, 328, 357, 433, 443, 444, 479, 587, 1095, 1101, 1149, 1291, 1319, 1580, 2065, 2137, 2225, 2796, 3025, 3195, 4396, 6309, 6396, 6933, 6955, 8271, 8691, 10688, 11709, 11711, 12993, 15120, 16509, 18105, 20115, 21685, 22213, 24411, 27227, 41868, 42201, 56939, 57371, 61444, 62445, 96360, 100677, 107639, 119447, 152951, 165575, 231025, 258179, 260997, 271361, 345171, 492999, 715965, 768815, 806980, 895203, 933869, 1331356, 1586347, 1751160, 1848217, 1995105, 2152805, 2671677, 2879941, 3066009 |
| 289 | Low | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 990 | 20 | 10, 22, 34, 42, 150, 1758, 6706, 11634, 18502, 52614, 102150, 194830, 207546, 252858, 333406, 638902, 989182, 1117182, 1317378, 1522650 |
| 297 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1682 | 34 | 3, 6, 14, 15, 20, 27, 38, 123, 276, 327, 380, 411, 546, 819, 1155, 1274, 1800, 1875, 3135, 3411, 7514, 9446, 12615, 23400, 23564, 99344, 108258, 148988, 153818, 157623, 306596, 622800, 2660048, 3087543 |
| 301 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1328 | 25 | 4, 184, 344, 352, 392, 1060, 2452, 7360, 9736, 10324, 21316, 22752, 27272, 27744, 28068, 55628, 72864, 88472, 95872, 124628, 218584, 424448, 517960, 880792, 1455620 | |
| 311 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1216 | 17 | 9, 29, 35, 105, 125, 131, 179, 359, 2735, 28199, 47349, 64485, 1094135, 1171199, 1323071, 2798459, 3037565 | |
| 319 | Low | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 667 | 18 | 2, 10, 18, 274, 314, 522, 562, 578, 594, 602, 930, 1074, 23826, 184554, 1923378, 2248914, 2290722, 3069362 |
| 345 | 315 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 4308 | 89 | 1, 2, 4, 8, 9, 11, 15, 18, 20, 24, 30, 40, 47, 87, 88, 150, 154, 166, 195, 264, 360, 412, 438, 546, 569, 621, 625, 778, 814, 1041, 1189, 1302, 1356, 1397, 1465, 1541, 1549, 1568, 3246, 6557, 6627, 9477, 10552, 12744, 13515, 14850, 15951, 18378, 18456, 27705, 27719, 27815, 30165, 32121, 41780, 43276, 48136, 49048, 62526, 79172, 87977, 103500, 144054, 155708, 161261, 180726, 181434, 194562, 213060, 261455, 441719, 442566, 459204, 525977, 613086, 633911, 808726, 838479, 958896, 1010394, 1039566, 1051282, 1335896, 1441905, 2042295, 2405701, 2792269, 3027769, 3532957 |
| 355 | Low | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 967 | 22 | 6, 12, 24, 34, 46, 138, 174, 816, 1164, 1668, 1704, 5334, 10126, 11340, 13818, 18564, 82968, 202986, 241368, 285492, 1482390, 3027372 |
| 373 | Low | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 868 | 25 | 2, 6, 14, 36, 62, 92, 122, 292, 758, 4436, 5526, 11066, 14076, 17036, 23618, 25412, 33692, 61358, 71018, 92156, 158476, 334026, 641606, 3036746, 3404702 |
| 389 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1097 | 20 | 11, 57, 59, 115, 299, 347, 715, 3845, 5157, 16945, 27949, 66379, 142649, 233985, 572625, 976169, 1186577, 1824385, 2916499, 3019025 | |
| 403 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 2276 | 60 | 2, 4, 6, 14, 16, 32, 40, 74, 110, 134, 252, 280, 306, 356, 410, 692, 760, 1220, 1286, 1742, 2060, 2514, 3632, 7104, 7376, 10220, 10980, 18914, 20472, 20676, 22456, 24122, 40834, 42110, 44182, 44814, 45852, 60030, 67826, 68360, 87434, 94386, 158774, 180520, 201250, 237524, 238276, 316882, 457660, 688290, 732860, 817706, 992780, 1209326, 1337280, 1664194, 2012412, 2357572, 2894566, 3334410 | |
| 417 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 3454 | 75 | 2, 4, 7, 8, 11, 12, 15, 16, 19, 24, 28, 51, 59, 62, 63, 64, 75, 79, 132, 338, 355, 518, 692, 806, 1287, 1618, 1803, 2715, 2743, 2834, 3055, 3255, 3323, 4067, 5255, 6094, 6254, 6796, 7063, 7476, 7787, 8067, 10795, 13342, 14407, 22292, 23132, 27076, 30286, 50486, 54391, 78423, 97375, 130858, 133756, 162292, 170947, 234179, 239956, 276419, 305859, 351632, 435482, 506332, 642156, 828566, 1104563, 1439196, 1759055, 1943755, 2036482, 2284402, 2698652, 3026492, 3029342 |
| 435 | 315 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 4603 | 93 | 2, 4, 5, 7, 11, 18, 19, 33, 51, 68, 69, 82, 93, 99, 101, 113, 132, 138, 141, 198, 201, 255, 298, 522, 528, 533, 537, 547, 790, 903, 1032, 1195, 1365, 1612, 1725, 2223, 2343, 2398, 3740, 4138, 4315, 6285, 7161, 10401, 13444, 19922, 23030, 26104, 26922, 28617, 29297, 31543, 35370, 56818, 73111, 87221, 88708, 93319, 106800, 107174, 157397, 169192, 170218, 187785, 200455, 235444, 270243, 304661, 342582, 364178, 412858, 440433, 529247, 547893, 565591, 653451, 700257, 748240, 772448, 885602, 1096682, 1177574, 1183997, 1239504, 1402809, 1908579, 2327152, 2329948, 2378522, 2473905, 2831709, 2997453, 3041954 |
| 453 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 2586 | 54 | 1, 10, 16, 18, 21, 33, 37, 48, 57, 66, 96, 108, 133, 198, 262, 480, 550, 673, 858, 988, 1065, 1576, 1737, 1756, 1920, 2362, 2860, 2917, 4666, 5988, 6598, 11206, 14326, 28317, 37158, 53617, 53896, 63925, 80022, 125992, 186325, 211897, 318880, 428428, 443212, 511288, 563253, 860497, 965572, 2367388, 2458461, 3056181, 3387048, 3461688 |
| 499 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1174 | 28 | 2, 18, 58, 94, 146, 362, 610, 714, 898, 994, 1514, 1718, 5742, 8278, 8374, 13610, 16306, 23798, 26314, 28854, 29222, 69358, 70646, 206986, 701434, 1150034, 1651814, 3066970 | |
| 511 | Low | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 383 | 6 | 8, 264, 1392, 317328, 495800, 1777488 |
| 513 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 2665 | 62 | 2, 4, 5, 6, 9, 10, 12, 14, 17, 22, 26, 30, 33, 45, 66, 110, 116, 126, 153, 165, 174, 220, 230, 234, 294, 362, 404, 1576, 1625, 1640, 2540, 2936, 3525, 5470, 9736, 11004, 11110, 15652, 19965, 23244, 24341, 48386, 52234, 54021, 74264, 78604, 117992, 136476, 175370, 189156, 193212, 273482, 279213, 337140, 369969, 392925, 797084, 818964, 861512, 1820982, 2135642, 3092705 |
| 553 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 3105 | 79 | 2, 4, 6, 10, 22, 24, 30, 42, 46, 50, 56, 60, 64, 84, 182, 190, 202, 204, 214, 256, 322, 382, 384, 402, 768, 1100, 2236, 3424, 3470, 3514, 4170, 4398, 4712, 5196, 5708, 6944, 7146, 8182, 8370, 11648, 11792, 13090, 14844, 15206, 24216, 25518, 28494, 32556, 38722, 43068, 56362, 56804, 58080, 68712, 69870, 112944, 164944, 172118, 202064, 287146, 292460, 370040, 371716, 404754, 574760, 681652, 686506, 737048, 852760, 907328, 1058992, 1216046, 1344056, 1577344, 1902102, 2815596, 3066838, 3094072, 3532758 | |
| 555 | 315 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 4497 | 101 | 2, 3, 5, 6, 9, 14, 16, 17, 18, 20, 27, 33, 44, 48, 52, 60, 62, 65, 73, 84, 99, 112, 132, 184, 189, 217, 282, 360, 365, 412, 444, 553, 588, 739, 756, 1084, 1184, 1686, 1850, 2512, 2678, 5740, 6856, 8306, 8810, 11064, 12110, 12882, 12978, 14088, 16609, 16777, 18447, 18977, 20042, 23114, 25627, 27338, 32840, 33835, 36085, 36602, 78475, 82783, 82819, 98008, 108354, 116258, 125608, 134406, 139535, 151277, 202098, 210377, 266006, 288845, 316039, 343854, 356267, 414830, 461262, 591776, 660664, 750460, 1111663, 1174603, 1257047, 1363577, 1422674, 1593788, 1597517, 1629059, 1679952, 1813556, 1937595, 3016352, 3078792, 3325925, 3393389, 3502765, 3563328 |
| 615 | 315 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 2908 | 62 | 1, 5, 7, 14, 23, 32, 37, 59, 65, 109, 115, 146, 199, 203, 209, 215, 389, 391, 557, 617, 709, 1049, 1574, 1763, 2273, 2497, 2734, 3389, 3743, 4867, 10982, 11372, 11878, 14989, 18254, 22249, 23039, 26174, 26894, 48179, 52663, 53806, 59153, 80318, 104407, 130664, 142097, 164797, 169022, 177953, 219197, 542783, 575972, 624752, 701305, 832925, 1041203, 1041857, 1298251, 1724209, 2235833, 3019445 |
| 629 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 2596 | 68 | 1, 5, 7, 11, 17, 19, 29, 31, 43, 59, 61, 71, 83, 103, 125, 161, 257, 281, 445, 499, 619, 623, 637, 661, 787, 1027, 1573, 2267, 3521, 3587, 4043, 4571, 5915, 6485, 6509, 10487, 11669, 11843, 13007, 20809, 26681, 29131, 37915, 53779, 59789, 72331, 73651, 80857, 81595, 124871, 131345, 134873, 142511, 164297, 178621, 201187, 317369, 383299, 399503, 457877, 526211, 726049, 1043191, 1084915, 1469471, 1988579, 2857891, 3066827 | |
| 639 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 3560 | 85 | 1, 2, 3, 6, 13, 18, 22, 26, 27, 31, 34, 46, 50, 73, 119, 187, 190, 194, 199, 306, 326, 358, 393, 611, 663, 1298, 1314, 1329, 1567, 2067, 2146, 2186, 2591, 2689, 2706, 3138, 3330, 3483, 4509, 4714, 5602, 6679, 6699, 8877, 9409, 10046, 12767, 15154, 19234, 23341, 26631, 32594, 36107, 42922, 58642, 70187, 70342, 72718, 74423, 78731, 84026, 99090, 100426, 107602, 113391, 117607, 144059, 198039, 227574, 247677, 397790, 509058, 623113, 639554, 710709, 782159, 881991, 903407, 1310707, 1848903, 1880451, 1945473, 2740186, 3040438, 3635707 |
| 643 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1556 | 34 | 4, 10, 14, 40, 74, 124, 280, 346, 410, 604, 806, 2318, 3358, 4508, 4586, 5738, 7174, 13006, 26798, 36940, 38770, 39244, 51500, 59116, 157808, 237350, 318958, 368558, 371354, 782318, 1272644, 2078306, 3030650, 3501974 | |
| 677 | Low | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 759 | 13 | 3, 63, 127, 547, 823, 6663, 11767, 46035, 51235, 85695, 480447, 3063403, 3369115 |
| 699 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1894 | 48 | 1, 2, 5, 10, 13, 31, 38, 41, 85, 119, 125, 199, 202, 218, 263, 295, 311, 470, 674, 782, 1265, 1270, 2231, 2377, 7631, 7822, 13583, 14671, 22303, 46543, 61922, 63913, 75002, 142423, 185770, 420743, 431402, 467839, 570581, 877511, 907870, 1143143, 1200343, 1535678, 1674293, 2175031, 3023263, 3487253 |
| 745 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1430 | 31 | 6, 14, 108, 138, 194, 234, 408, 434, 504, 560, 924, 1356, 1760, 2190, 3204, 4104, 4688, 5096, 6408, 10196, 15660, 27668, 66510, 81060, 314118, 359604, 360726, 1253108, 2540726, 2761514, 3087428 | |
| 759 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 2127 | 39 | 2, 3, 17, 29, 42, 78, 98, 179, 263, 327, 725, 755, 1107, 1517, 1547, 1590, 2490, 5079, 5378, 6378, 10542, 12803, 15725, 17417, 18690, 24905, 32933, 38195, 38739, 71570, 72173, 87063, 124247, 139427, 347099, 679127, 1319718, 1537049, 3015314 |
| 765 | 315 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 4734 | 87 | 1, 2, 3, 4, 5, 10, 12, 15, 18, 20, 22, 25, 40, 41, 50, 52, 67, 72, 77, 87, 90, 121, 135, 151, 168, 282, 288, 390, 408, 423, 445, 450, 471, 538, 572, 578, 777, 894, 921, 1188, 1382, 2251, 3861, 5217, 5775, 8337, 9568, 10347, 10500, 11570, 14413, 15561, 17862, 24728, 28041, 32211, 38824, 44508, 51550, 56028, 64722, 85119, 93355, 118330, 124000, 129751, 179985, 285088, 293794, 296373, 344115, 353165, 403590, 787971, 858453, 974997, 983445, 1006459, 1179540, 1346535, 1398051, 1635531, 1849609, 2106027, 2448660, 2735232, 3068511 |
| 789 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 2515 | 44 | 1, 6, 9, 13, 21, 30, 57, 69, 105, 151, 171, 243, 978, 1251, 1611, 1779, 1909, 1914, 2307, 2397, 2589, 3103, 3199, 4975, 6390, 13173, 19519, 22713, 59593, 135393, 148647, 160375, 182263, 273075, 434965, 444439, 535627, 746301, 759679, 1114779, 1262973, 1367445, 1489887, 2670409 |
| 791 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1586 | 37 | 1, 3, 27, 31, 49, 81, 91, 105, 193, 243, 483, 577, 715, 889, 937, 2641, 4467, 6289, 10239, 17617, 22825, 29049, 29767, 31071, 56847, 65775, 82865, 116833, 265627, 272353, 286121, 630135, 752311, 1135983, 1885961, 3055695, 3323995 | |
| 801 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1434 | 32 | 5, 12, 23, 36, 41, 132, 288, 432, 743, 876, 1181, 1193, 1433, 1845, 2100, 2381, 11316, 12215, 13637, 17397, 17952, 20001, 23220, 87117, 116625, 128207, 448596, 469733, 474900, 485328, 912071, 3036045 |
| 869 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1804 | 38 | 5, 9, 15, 25, 29, 31, 41, 45, 61, 183, 257, 265, 481, 583, 713, 841, 933, 1095, 1143, 1709, 2383, 2559, 4397, 6233, 12013, 31793, 39679, 53671, 59997, 67165, 73845, 338197, 487791, 1000725, 1062609, 1364737, 1389895, 3030655 | |
| 875 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1864 | 37 | 3, 5, 13, 19, 21, 43, 47, 141, 173, 213, 253, 303, 453, 1815, 4623, 6623, 10779, 16467, 16685, 17711, 24711, 74559, 90347, 129279, 163927, 166795, 195343, 381471, 883743, 1017103, 1163883, 1591229, 1814911, 1818427, 2246363, 3018175, 3063847 | |
| 915 | 315 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 2802 | 53 | 1, 3, 18, 22, 25, 37, 46, 55, 70, 91, 136, 186, 238, 438, 517, 652, 730, 1090, 1108, 1723, 2005, 2550, 2967, 3559, 3856, 3895, 6831, 9139, 11455, 11695, 13393, 16993, 21915, 23079, 23647, 28159, 48211, 58455, 75408, 95977, 100140, 110826, 134308, 143250, 155641, 847246, 1051477, 1686699, 1805031, 2064663, 2135151, 2375923, 3033775 |
| 933 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 3148 | 74 | 1, 2, 4, 13, 24, 30, 40, 42, 65, 153, 154, 161, 168, 226, 261, 286, 294, 421, 460, 521, 625, 714, 906, 997, 1174, 1482, 1585, 1804, 1961, 2616, 2845, 3304, 5268, 5764, 6546, 7068, 10133, 10782, 12000, 12102, 12721, 15865, 27216, 50088, 54825, 62102, 65976, 69177, 73570, 85117, 95173, 98385, 102057, 189398, 226416, 264264, 282846, 337677, 367230, 443740, 470094, 541668, 722277, 942033, 959214, 1336282, 1642574, 1786320, 1820068, 1868602, 2345893, 2567598, 2879973, 3091825 |
| 973 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 2071 | 48 | 4, 6, 8, 12, 14, 16, 30, 32, 68, 70, 112, 134, 152, 184, 224, 278, 280, 320, 422, 676, 768, 1038, 1086, 1692, 2104, 2860, 5048, 10604, 28062, 31256, 34928, 52424, 55592, 104076, 132222, 486740, 588814, 612382, 753040, 923318, 1206088, 1267246, 2254320, 2511920, 2789516, 2923062, 2937046, 3069092 | |
| 1023 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 3931 | 82 | 2, 4, 9, 13, 14, 16, 32, 33, 81, 101, 124, 242, 272, 301, 380, 453, 469, 533, 612, 929, 1081, 1176, 1749, 1797, 1852, 2318, 2405, 3057, 3408, 3440, 4392, 5032, 6637, 9441, 9688, 11970, 13617, 15182, 15316, 17188, 19036, 33709, 34533, 34557, 34716, 37377, 38862, 43640, 47469, 63265, 109010, 111404, 131188, 132810, 183416, 203604, 216930, 253224, 270093, 287797, 289953, 301580, 358082, 367344, 490681, 550765, 611208, 620205, 641310, 681313, 797786, 868480, 943418, 1068402, 1138576, 1153248, 1177850, 1223814, 1426490, 2012570, 2398601, 2772512 |
| 1045 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 2182 | 40 | 8, 10, 16, 20, 28, 44, 72, 106, 204, 216, 222, 288, 496, 706, 2300, 2626, 2668, 2844, 4506, 4576, 8844, 9302, 10048, 12392, 13376, 13712, 16808, 19454, 44988, 58776, 99676, 128862, 153354, 182346, 278020, 878392, 1233270, 1800784, 1955356, 3037988 | |
| 1065 | 315 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 4065 | 79 | 1, 2, 3, 4, 6, 14, 15, 21, 28, 30, 54, 56, 66, 70, 104, 126, 146, 174, 248, 266, 310, 334, 374, 435, 584, 642, 762, 914, 941, 1244, 1278, 1321, 1443, 2723, 3371, 5582, 6126, 6303, 7703, 9211, 9284, 11111, 11987, 15450, 21521, 28235, 35608,, 36326, 48964, 52346, 53716, 67034, 70690, 81222, 85988, 89130, 139358, 166193, 234488, 242373, 243903, 340231, 364285, 388808, 464242, 535328, 709627, 905518, 1006151, 1679402, 1698303, 1736222, 2113463, 2260193, 2441132, 2975442, 2994154, 3025527, 3447906 |
| 1105 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 2102 | 41 | 2, 4, 8, 20, 28, 34, 40, 52, 62, 128, 136, 148, 220, 538, 790, 1478, 3118, 3184, 3386, 4376, 5986, 9170, 11584, 11870, 17446, 30458, 38954, 58556, 130684, 263320, 281308, 394832, 404584, 622142, 636002, 1065418, 1278476, 1314586, 2171956, 2213846, 3069884 | |
| 1139 | Low | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 682 | 12 | 9, 13, 91, 331, 529, 2641, 29169, 190753, 630055, 1450029, 2115949, 3079783 |
| 1149 | 3 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 2261 | 38 | 2, 7, 14, 26, 34, 82, 98, 166, 262, 263, 389, 538, 702, 823, 1697, 1838, 1995, 3283, 14338, 36743, 95199, 99034, 136214, 157598, 161738, 173515, 192166, 219654, 358385, 370878, 784805, 1141946, 1957223, 2336638, 2593359, 2839622, 3087514, 3481694 |
| 1165 | 2021-08-15 PrimeGrid Proth Prime Search (MR1) |
3,070,000 | 1454 | 22 | 6, 12, 38, 218, 282, 434, 462, 474, 614, 654, 1478, 2298, 3252, 14058, 16434, 18944, 63858, 150266, 360702, 704772, 1193202, 3060228 | |
| 1461 | 3 | 2021-08-09 PrimeGrid Proth Prime Search Extended (MR25) |
1,640,000 | 1347 | 31 | 3, 7, 12, 27, 36, 43, 51, 55, 75, 87, 301, 303, 847, 991, 1131, 1323, 1407, 2971, 4351, 5547, 6951, 20247, 35547, 39660, 41935, 51675, 116460, 127356, 497676, 827871, 3373383 |
| 1601 | 2021-08-09 PrimeGrid Proth Prime Search Extended (MR25) |
1,640,000 | 1503 | 35 | 1, 3, 15, 19, 21, 31, 45, 85, 91, 111, 225, 261, 331, 351, 631, 673, 691, 1435, 1503, 2643, 4485, 10281, 13765, 14697, 16581, 16647, 19617, 29895, 34395, 34515, 40005, 127927, 158805, 232431, 1644421 | |
| 3125 | 2021-08-09 PrimeGrid Proth Mega Prime Search (MR24) |
3,370,000 | 1150 | 28 | 17, 29, 39, 123, 131, 143, 149, 167, 221, 303, 543, 593, 2331, 2823, 3401, 3843, 10637, 11199, 13769, 24293, 25407, 94073, 147089, 168927, 1583223, 2697651, 2867399, 3124079 | |
| 3207 | 3 | 2021-08-09 PrimeGrid Proth Prime Search Extended (MR25) |
1,640,000 | 2518 | 57 | 2, 3, 7, 11, 12, 14, 23, 39, 63, 74, 83, 90, 91, 123, 134, 170, 194, 208, 230, 403, 480, 487, 498, 683, 743, 962, 3122, 4628, 5882, 6402, 6680, 7560, 7679, 10008, 17744, 31710, 44731, 51182, 63174, 83823, 100202, 115739, 154119, 204279, 221063, 296948, 321978, 360220, 371927, 387203, 396887, 791582, 903902, 1244504, 1267439, 1286940, 3375314 |
| 3777 | 3 | 2021-08-09 PrimeGrid Proth Prime Search Extended (MR25) |
1,640,000 | 3246 | 61 | 8, 10, 12, 15, 20, 22, 24, 26, 36, 40, 59, 62, 80, 155, 190, 202, 230, 231, 234, 270, 327, 342, 347, 386, 396, 419, 446, 512, 1286, 1395, 1448, 1482, 1630, 1784, 2000, 2891, 7554, 7995, 8642, 10570, 13388, 13980, 20396, 28227, 29294, 29687, 39876, 69771, 70494, 91594, 99036, 106618, 157610, 283179, 307090, 448364, 695240, 698399, 917700, 967076, 3374072 |
| 3943 | 2021-08-09 PrimeGrid Proth Prime Search Extended (MR25) |
1,640,000 | 1934 | 45 | 2, 30, 54, 74, 86, 146, 150, 166, 318, 338, 342, 372, 530, 540, 966, 1058, 1074, 1438, 1482, 1526, 2722, 3074, 4026, 4614, 4974, 5998, 8126, 8868, 9612, 9710, 13302, 16710, 16926, 18822, 18830, 24606, 57902, 148138, 174038, 221274, 311366, 384002, 809706, 1280698, 1642638 | |
| 4119 | 3 | 2021-08-09 PrimeGrid Proth Prime Search Extended (MR25) |
1,640,000 | 1352 | 23 | 2, 9, 54, 74, 110, 369, 774, 1145, 1265, 2475, 2526, 2889, 20310, 29669, 33525, 38622, 54666, 72915, 90507, 139394, 443235, 476849, 679950 |
| 4665 | 315 | 2021-08-09 PrimeGrid Proth Prime Search Extended (MR25) |
1,640,000 | 2280 | 54 | 2, 3, 8, 12, 14, 17, 32, 39, 60, 89, 104, 128, 137, 158, 159, 228, 272, 312, 473, 633, 1104, 1137, 1533, 1770, 2052, 2732, 3212, 5583, 6288, 7329, 11292, 13008, 13508, 16400, 24717, 25052, 30740, 49500, 106553, 119790, 138837, 143264, 178322, 242700, 359114, 399494, 416204, 546879, 760820, 787244, 841209, 1050332, 1270202, 1642514 |
| 5307 | 3 | 2021-08-09 PrimeGrid Proth Prime Search Extended (MR25) |
1,640,000 | 3348 | 58 | 3, 4, 6, 7, 19, 27, 28, 36, 42, 60, 70, 95, 126, 148, 172, 252, 276, 416, 478, 500, 556, 908, 1019, 1050, 1324, 1503, 2380, 2430, 3424, 3752, 3966, 5023, 7952, 8348, 8467, 13535, 14180, 19804, 21424, 22803, 65956, 67668, 71598, 94062, 124275, 132120, 145696, 156887, 208048, 222404, 332299, 396736, 550920, 626016, 675879, 712292, 1047047, 3374939 |
| 5505 | 315 | 2021-08-09 PrimeGrid Proth Prime Search Extended (MR25) |
1,640,000 | 3173 | 55 | 3, 5, 9, 12, 15, 17, 30, 50, 53, 57, 80, 99, 168, 570, 642, 677, 708, 765, 780, 1230, 1296, 1872, 1902, 1935, 2156, 3225, 3942, 4098, 4679, 7683, 11510, 13907, 16119, 17292, 24042, 25244, 35352, 61280, 62934, 63486, 105840, 130292, 131670, 149603, 150893, 171347, 242160, 244062, 287226, 848408, 901377, 1155282, 1212579, 1266048, 3375777 |
| 6219 | 3 | 2021-08-09 PrimeGrid Proth Prime Search Extended (MR25) |
1,640,000 | 1826 | 39 | 2, 17, 27, 74, 101, 231, 401, 437, 575, 671, 690, 5250, 7062, 8378, 8439, 8667, 33762, 41670, 42599, 42701, 69582, 73215, 73814, 75698, 77126, 91217, 97626, 173495, 202155, 292037, 324942, 366926, 490671, 627638, 1025235, 1436922, 1623869, 3333810, 3374198 |
| 6395 | 2021-08-09 PrimeGrid Proth Prime Search Extended (MR25) |
1,640,000 | 2048 | 40 | 1, 5, 7, 19, 25, 35, 41, 47, 57, 61, 147, 187, 227, 495, 607, 811, 887, 1039, 1049, 1099, 1735, 2239, 6029, 6739, 12379, 12547, 14669, 15787, 26095, 32097, 33647, 51857, 52669, 58447, 96087, 540977, 575057, 1261595, 1290425, 3373135 | |
| 9267 | 3Low | 2020-05-16 Jean Penné |
200,000 | 498 | 10 | 100, 1556, 1966, 2660, 4342, 4468, 5372, 39538, 65386, 142426 |
| 9347 | Low | 2021-08-09 PrimeGrid Proth Prime Search Extended (MR25) |
1,640,000 | 989 | 15 | 15, 195, 351, 1135, 1223, 2591, 3163, 3583, 4435, 35599, 36695, 43051, 262879, 355087, 3374055 |
| 10223 | Low | 2017 | 31,278,077 | 207 | 1 | 31172165 |
| 12321 | 3 | 2020-06-15 | 300,000 | 2495 | 46 | 4, 24, 29, 47, 61, 63, 67, 69, 87, 101, 129, 143, 153, 249, 252, 333, 408, 561, 616, 732, 929, 1349, 3467, 6156, 6919, 9244, 14413, 17128, 20059, 20169, 20512, 23479, 24076, 26208, 27189, 34113, 37648, 43893, 45537, 63107, 79527, 88752, 118701, 122844, 164961, 218753 |
| 12743 | Low | 2020-06-09 | 100,000 | 416 | 3 | 9, 41205, 49113 |
| 15735 | 315 | 2020-10-11 | 50,000 | 2954 | 35 | 4, 7, 10, 94, 95, 98, 110, 128, 136, 200, 215, 334, 559, 676, 740, 856, 935, 1159, 1463, 1468, 1763, 1795, 3274, 4037, 4162, 6139, 6857, 9893, 10228, 14915, 18815, 22903, 28555, 29278, 36490 |
| 19683 | 3 | 2019-10-08 | 4,000,000 | 1802 | 32 | 1, 5, 8, 32, 50, 400, 536, 592, 676, 866, 1157, 1300, 1661, 1730, 2440, 7046, 9698, 16180, 16226, 22330, 26990, 206005, 238780, 278941, 366665, 485845, 493846, 901745, 1797997, 1868828, 2033900, 2265896 |
| 21181 | Low | 2020-09-25 PrimeGrid Seventeen or Bust (MR16) |
32,698,000 | 169 | 0 | |
| 22249 | Low | 2020-04-10 | 500,000 | 284 | 2 | 2, 408602 |
| 22699 | Low | 2020-09-25 PrimeGrid Seventeen or Bust (MR16) |
32,698,000 | 69 | 0 | |
| 23971 | Low | 2020-10-17 PrimeGrid New Sierpiński Problem (MR19) |
10,000,000 | 108 | 1 | 8 |
| 24737 | Low | 2020-09-25 PrimeGrid Seventeen or Bust (MR16) |
32,698,000 | 174 | 0 | |
| 32247 | 3 | 2022-11-05 CRUS Liskovets-Gallot (MR12) |
9,000,000 | 1736 | 23 | 10, 18, 40, 94, 114, 190, 234, 240, 300, 538, 922, 1224, 6514, 8740, 13438, 19692, 23764, 43894, 48862, 49774, 60148, 75202, 75780 |
| 45323 | Low | 2020-11-25 | 10,000,000 | 266 | 1 | 1 |
| 48495 | 315 | 2020-10-08 | 1,000 | 3088 | 21 | 11, 13, 29, 40, 43, 49, 50, 70, 73, 82, 106, 125, 163, 251, 269, 349, 401, 479, 527, 614, 920 |
| 50777 | Low | 2020-10-17 PrimeGrid New Sierpiński Problem (MR19) |
10,000,000 | 166 | 1 | 11 |
| 50873 | Low | 2020-11-25 | 10,000,000 | 410 | 1 | 1 |
| 53133 | 3 | 2022-11-05 CRUS Liskovets-Gallot (MR12) |
9,000,000 | 1475 | 18 | 14, 26, 44, 72, 144, 146, 204, 222, 404, 642, 716, 1116, 1178, 5846, 16292, 21224, 24788, 42542 |
| 55459 | Low | 2020-09-25 PrimeGrid Seventeen or Bust (MR16) |
32,698,000 | 242 | 0 | |
| 66741 | 3Low | 2020-07-05 | 50,000 | 811 | 9 | 5, 51, 95, 117, 237, 357, 2231, 3767, 6837 |
| 67275 | 315 | 2020-10-08 | 1,000 | 3481 | 25 | 3, 4, 7, 9, 13, 15, 22, 33, 36, 37, 49, 64, 69, 72, 78, 93, 102, 109, 145, 211, 216, 277, 325, 348, 457 |
| 67607 | Low | 2020-09-25 PrimeGrid Seventeen or Bust (MR16) |
32,698,000 | 56 | 0 | |
| 68633 | Low | 2020-06-02 | 2,715,609 | 250 | 2 | 9, 2715609 |
| 76877 | Low | 2020-10-17 PrimeGrid New Sierpiński Problem (MR19) |
10,000,000 | 96 | 1 | 11 |
| 77777 | Low | 2022-11-30 (Alex_soldier) |
2,000,000 | 374 | 5 | 15, 103, 223, 1063, 34087 |
| 78557 | Low | 1962 | 0 | 0 | 0 | No primes possible! |
| 79309 | Low | 2021-07-12 PrimeGrid Prime Sierpiński Problem (MR18) |
23,890,000 | 56 | 0 | |
| 79817 | Low | 2021-07-12 PrimeGrid Prime Sierpiński Problem (MR18) |
23,890,000 | 146 | 0 | |
| 95283 | 3 | 2020-07-05 | 50,000 | 1489 | 27 | 4, 14, 22, 28, 34, 148, 230, 274, 304, 352, 446, 616, 652, 1214, 1796, 2632, 4516, 4888, 4918, 7852, 9314, 13096, 17908, 25124, 25828, 29912, 40228 |
| 152267 | Low | 2021-07-12 PrimeGrid Prime Sierpiński Problem (MR18) |
23,890,000 | 92 | 0 | |
| 156511 | Low | 2021-07-12 PrimeGrid Prime Sierpiński Problem (MR18) |
23,890,000 | 58 | 0 | |
| 168451 | Low | 2017-09-17 | 19,395,180 | 99 | 1 | 19375200 |
| 202705 | Low | 2021-12-01 | 21,355,226 | 448 | 1 | 21320516 |
| 222113 | Low | 2021-07-12 PrimeGrid Prime Sierpiński Problem (MR18) |
23,890,000 | 248 | 0 | |
| 225931 | Low | 2021-07-12 PrimeGrid Prime Sierpiński Problem (MR18) |
23,890,000 | 124 | 0 | |
| 237019 | Low | 2021-07-12 PrimeGrid Prime Sierpiński Problem (MR18) |
23,890,000 | 155 | 0 | |
| 271129 | Low | 0 | 0 | 0 | No primes possible! | |
| 749893 | 2021-08-13 | 100,000 | 2981 | 34 | 48, 52, 96, 122, 144, 324, 556, 770, 912, 1016, 1056, 1612, 1620, 1678, 1884, 2336, 2688, 3104, 3242, 6086, 6638, 7048, 7406, 8920, 9156, 12200, 15590, 16372, 16958, 47996, 65626, 66648, 66874, 82630 | |
| 1000039 | Low | 2021-09-23 | 2,000,000 | 349 | 8 | 382, 466, 670, 1414, 8326, 10810, 13102, 1721722 |
| 1089927 | 3 | 2020-05-22 | 1,000,000 | 1888 | 27 | 8, 11, 38, 52, 71, 80, 82, 338, 478, 1211, 1358, 2176, 2522, 4912, 8150, 21635, 24140, 31040, 123848, 224831, 229150, 326966, 331808, 352391, 415148, 984682, 1000000 |
| 1281979 | Low | 2022-09-27 Florian Baur |
6,000,000 | 847 | 19 | 2, 142, 202, 242, 370, 578, 614, 754, 6430, 7438, 7894, 10474, 11542, 45022, 46802, 70382, 74938, 367310, 485014 |
| 1943873 | Low | 2022-12-11 (Alex_soldier) |
660,000 | 513 | 9 | 29, 285, 1461, 1901, 2773, 13453, 20109, 237189, 246869 |
| 2441205 | 315 | 2022-08-16 | 500,000 | 6132 | 106 | 3, 5, 7, 20, 27, 30, 34, 35, 46, 59, 66, 71, 78, 95, 107, 114, 151, 189, 211, 234, 240, 323, 366, 380, 399, 404, 465, 480, 566, 616, 716, 834, 855, 979, 1258, 1416, 1483, 1487, 1587, 1720, 2169, 2219, 2316, 2506, 2626, 2846, 2855, 3253, 3413, 4091, 4318, 4511, 5701, 6757, 7798, 8138, 8758, 9207, 9238, 9496, 9584, 9713, 9731, 9933, 10415, 10914, 11105, 11429, 11999, 12076, 12841, 15706, 20678, 22874, 26251, 27356, 33144, 36809, 46163, 49475, 53329, 57435, 59373, 66159, 66813, 106384, 119177, 119375, 144591, 158580, 185158, 191343, 251355, 254247, 266808, 281418, 305545, 314115, 319514, 321116, 338878, 346703, 361419, 364938, 374187, 492040 |
| 84966861 | 3 | 2020-06-17 | 150,000 | 2140 | 30 | 4, 40, 60, 157, 179, 233, 252, 287, 303, 332, 427, 807, 1068, 1259, 1288, 1289, 1432, 1983, 2812, 4229, 8187, 29719, 35020, 38357, 55544, 58392, 62860, 100489, 140219, 148073 |
| 2003663613 | 3 | 2010-08-26 | 195,000 | 2762 | 39 | 21, 29, 45, 64, 80, 94, 150, 184, 293, 428, 478, 580, 704, 1501, 1518, 1532, 1628, 1925, 2422, 3845, 4294, 5488, 12381, 13662, 16940, 32741, 36909, 38613, 46868, 49589, 69317, 87910, 97740, 129397, 132632, 145134, 154988, 183092, 195000 |
| 14476720225405 | 2021-07-29 | 50,000 | 2321 | 26 | 1, 6, 16, 30, 40, 42, 64, 68, 78, 98, 116, 188, 232, 240, 416, 648, 724, 1350, 5920, 8316, 8762, 9896, 19758, 22394, 35756, 39616 | |
| 1527888802614951 | 3 | 2019-04-20 | 10,000 | 2929 | 28 | 3, 4, 11, 16, 17, 52, 63, 75, 76, 120, 145, 175, 352, 420, 641, 721, 841, 1073, 1147, 1192, 1361, 1617, 2316, 3379, 3600, 3673, 4711, 7673 |
| 4052555153018976267 | 2021-10-09 (Alex_soldier) |
1,000,000 | 2176 | 34 | 2, 11, 82, 100, 106, 131, 160, 310, 490, 1052, 1486, 1532, 2995, 4295, 8542, 10531, 11522, 19975, 23587, 25202, 26938, 28448, 30980, 48527, 64607, 251027, 283288, 313411, 374870, 446486, 513392, 648871, 759071, 903875 | |
| 30562993973479965532402725 | 2012-08-27 | 340,000 | 7833 | 180 | 5, 15, 16, 26, 36, 38, 51, 55, 59, 66, 68, 69, 86, 93, 94, 105, 106, 136, 150, 152, 153, 160, 161, 171, 198, 199, 232, 233, 244, 246, 269, 291, 297, 307, 330, 368, 385, 394, 427, 439, 482, 485, 491, 497, 509, 532, 567, 572, 583, 596, 599, 640, 660, 736, 776, 796, 799, 818, 913, 925, 942, 1047, 1146, 1184, 1253, 1284, 1400, 1501, 1558, 1612, 1626, 1667, 1828, 1875, 1945, 1976, 2043, 2444, 2884, 3108, 3296, 3353, 3439, 3511, 3727, 4037, 4099, 4145, 4318, 4403, 4437, 4551, 4788, 4866, 5002, 5272, 5434, 5449, 6558, 6560, 6837, 7068, 8540, 8747, 9252, 9314, 9673, 10107, 10939, 11101, 11689, 11717, 12879, 12969, 13107, 13239, 14878, 14900, 16000, 16658, 16923, 18345, 18573, 18791, 19248, 19619, 20924, 21043, 21363, 22167, 22882, 27581, 28518, 28940, 29126, 29242, 29577, 29665, 34156, 35212, 39581, 40232, 43213, 43984, 45644, 62423, 63511, 65622, 69778, 72369, 72969, 79932, 85510, 89404, 94708, 95795, 98533, 100821, 104136, 109400, 116063, 121799, 127419, 131976, 146515, 157616, 177343, 182109, 198262, 205792, 209356, 211962, 222095, 250108, 294496, 295197, 299354, 302174, 335908, 338615 | |
| 32268186233370440249391495 | 3 | 2012-08-27 | 340,000 | 7953 | 177 | 1, 3, 6, 12, 29, 39, 46, 62, 76, 79, 90, 91, 101, 106, 113, 117, 119, 127, 139, 142, 145, 165, 166, 168, 180, 190, 223, 225, 232, 253, 276, 284, 344, 353, 366, 374, 394, 421, 437, 458, 463, 465, 476, 485, 497, 510, 532, 560, 590, 595, 605, 607, 608, 694, 719, 730, 740, 772, 806, 811, 869, 886, 967, 978, 1003, 1029, 1084, 1092, 1104, 1169, 1365, 1466, 1834, 1965, 1999, 2264, 2293, 2441, 2520, 2622, 2635, 3037, 3090, 3212, 3246, 3262, 3588, 3935, 3981, 3992, 4475, 4550, 4594, 5039, 5079, 5152, 5654, 5708, 5804, 5990, 6075, 6242, 6315, 6563, 6594, 6633, 6945, 7329, 7638, 7719, 8872, 8949, 9406, 10349, 11056, 11210, 11333, 12141, 13843, 13893, 14416, 15345, 15589, 16760, 17567, 18304, 18338, 19059, 19679, 19855, 20094, 20410, 21175, 23955, 25585, 27511, 30584, 31727, 33031, 33312, 34812, 35185, 35367, 44099, 46412, 47563, 50137, 51671, 52689, 53254, 60133, 62729, 64714, 69716, 85275, 89868, 92711, 94168, 110103, 113637, 115183, 121404, 140140, 141404, 146348, 164796, 173217, 187066, 194250, 217947, 219946, 246920, 251085, 254045, 287037, 288194, 323172 |
