1: 2, 3, 13, 23, 41, 71, 101, 127, 211, 223, 331, 443, 673, 853, 877, 1163, 1277, 1427, 1553, 2381, 2543, 2753, 2927, 3061, 3433, 3877, 4241, 4733, 4903, 5431, 5923, 6113, 6701, 6971, 7177, 7741, 8627, 8933, 9323, 9883, 10627, 11311, 11927, 12377, 12743, 13873, 14653, 14951, 17443, 17551, 18427, 19211, 20593, 21661, 23003, 26203, 27271, 31033, 31177, 32341, 32783, 33377, 34127, 36583, 38321, 40427, 43777, 51431, 52361, 55201, 56941, 57527, 58313, 60101, 60703, 62323, 64171, 64793, 67523, 68161, 69877, 75377, 77863, 80621, 81551, 82721, 83663, 92381, 95131, 95383, 100493, 101531, 104677, 106801, 107603, 108677, 118583, 119993, 124561, 134851, 135151, 141221, 145861, 146173, 149627, 150893, 154723, 157303, 157627, 160231, 162527, 169177, 172213, 176303, 177677, 184627, 185681, 187091, 188861, 190283, 191353, 194581, 203321, 204427, 207763, 211877, 213383, 215273, 216791, 217933, 224461, 227177, 229127, 230693, 231871, 246241, 258131, 261043, 264391, 264811, 273281, 276277, 284927, 286673, 290621, 308041, 311677, 317171, 321323, 328303, 333941, 340103, 353081, 362851, 363343, 375251, 2: 3, 5, 11, 31, 53, 71, 103, 311, 353, 421, 521, 661, 691, 991, 1103, 1181, 1303, 1753, 1901, 2003, 2161, 2381, 2671, 2731, 3041, 3301, 3853, 4603, 5003, 5591, 6121, 6581, 6961, 7253, 7451, 7753, 8803, 10151, 10861, 11471, 11971, 12611, 13003, 14771, 15053, 16061, 18803, 19121, 19603, 22621, 23321, 24391, 25301, 26041, 26981, 32971, 33181, 35753, 36191, 39103, 39791, 40253, 43321, 44531, 46751, 50053, 53201, 54541, 56171, 57271, 58661, 63803, 67651, 70381, 76003, 76961, 78571, 85853, 86531, 87553, 92051, 92753, 93811, 95231, 97021, 97381, 99191, 109253, 117811, 125053, 127103, 128341, 132511, 138461, 139753, 144103, 149411, 151651, 159853, 164503, 166853, 172561, 178853, 181303, 186253, 187751, 188753, 190261, 197891, 209353, 218971, 225503, 226601, 238291, 240551, 243391, 250853, 259603, 262553, 264331, 266711, 269701, 273311, 280603, 286753, 289853, 291721, 297991, 303691, 305603, 318503, 347141, 356731, 357421, 369253, 379853, 381991, 384851, 389161, 395671, 411071, 421501, 426011, 435103, 442753, 446603, 463741, 467681, 484411, 499801, 517091, 521251, 524591, 533831, 552553, 562901, 572471, 578603, 580361, 594521, 598981, 607951, 623353, 632503, 648211, 649141, 653801, 662231, 665053, 690721, 691681, 696491, 705191, 720791, 735571, 744511, 3: 7, 37, 67, 79, 211, 277, 379, 631, 991, 1129, 1327, 1597, 1831, 2017, 2347, 2557, 2851, 3571, 4561, 4657, 4951, 5779, 6217, 8647, 8779, 9181, 9871, 12721, 14029, 14197, 16111, 20101, 20707, 21529, 24091, 26107, 27967, 28921, 31627, 33931, 34981, 37951, 40471, 41617, 42487, 44851, 51361, 53629, 59341, 60727, 64621, 66067, 69379, 70501, 75079, 77029, 78607, 79801, 83437, 87991, 88411, 91807, 93097, 93529, 97021, 98347, 100129, 107881, 109279, 122761, 126757, 127261, 133387, 145531, 150427, 152077, 152629, 154291, 157081, 165601, 167911, 177907, 182107, 185137, 189421, 194377, 196879, 200029, 202567, 204481, 210277, 212227, 215497, 218131, 225457, 226129, 234271, 236329, 239779, 241861, 248161, 250279, 256687, 274171, 292231, 294529, 297607, 310867, 320401, 322807, 333337, 342379, 352381, 363379, 365941, 372817, 380629, 394717, 426427, 427351, 438517, 446041, 448879, 471907, 484621, 495511, 519691, 523777, 531997, 548629, 557041, 579427, 595687, 596779, 605551, 608857, 613279, 632251, 653797, 673381, 705079, 706267, 730237, 733867, 738721, 744811, 749701, 779377, 809629, 828829, 839161, 840457, 844351, 903841, 914629, 930931, 947377, 957037, 968137, 990529, 1001821, 1018879, 1049077, 1066531, 1072381, 1090027, 1094461, 1101871, 1124251, 4: 5, 29, 61, 89, 229, 281, 401, 1321, 1381, 2129, 2441, 2689, 2861, 3221, 3701, 4649, 6469, 6869, 8741, 9049, 9521, 10169, 10501, 12241, 13729, 13921, 15101, 17389, 18041, 19381, 19609, 21481, 23189, 23689, 26801, 28429, 30389, 31249, 33601, 35729, 38561, 42169, 44549, 45589, 48781, 50969, 52081, 61409, 66361, 68909, 70201, 71069, 74149, 75041, 81901, 86161, 90529, 92009, 98561, 101141, 104281, 109621, 113989, 117881, 119569, 128189, 129361, 131129, 135301, 140761, 144461, 153281, 155849, 157141, 163021, 169009, 169681, 171029, 173741, 199109, 200569, 205721, 209441, 213949, 235621, 259169, 265021, 274349, 282101, 309629, 314189, 337489, 339389, 363589, 371509, 374501, 378509, 381529, 383549, 417649, 444449, 457609, 469841, 486781, 494789, 505181, 511001, 515681, 526289, 539401, 551461, 564881, 572269, 587189, 594721, 595981, 603569, 609929, 621461, 626621, 652741, 664669, 686141, 702469, 705209, 714841, 725929, 739909, 748361, 751189, 755441, 761129, 765409, 794249, 829561, 853529, 856549, 861089, 867161, 883969, 894749, 936941, 951221, 954409, 994709, 1027549, 1039169, 1057561, 1069349, 1089709, 1099961, 1134481, 1136221, 1155449, 1162481, 1171301, 1187261, 1203329, 1230349, 1235789, 1248529, 1268681, 1276049, 1285289, 1315081, 1318829, 1331989, 1360409, 1364221, 1381441, 1394909, 1398769, 1400701, 1404569, 1412321, 1453369, 1469161, 1483049, 1489021, 5: 11, 61, 131, 461, 631, 881, 1051, 1301, 3361, 3911, 4261, 4751, 9631, 9811, 11311, 12101, 14411, 16451, 17401, 18131, 19381, 20411, 29611, 30881, 34511, 40151, 49411, 51461, 52711, 54401, 65101, 68881, 85601, 87211, 87751, 89381, 108301, 113161, 115631, 122561, 125131, 131011, 136351, 155161, 179801, 182131, 204601, 214631, 222311, 242551, 273131, 276961, 284701, 299501, 315701, 320851, 325001, 336551, 340801, 349381, 353711, 363551, 375761, 380251, 385901, 465631, 476911, 487051, 506351, 522061, 539351, 576161, 617051, 627131, 675751, 693881, 724631, 729301, 743401, 749711, 773611, 781661, 845881, 902201, 909151, 949631, 965711, 972901, 987361, 1036951, 1038811, 1061261, 1089661, 1106881, 1112651, 1193011, 1201001, 1231201, 1241351, 1274111, 1315661, 1321951, 1324051, 1381381, 1407251, 1418101, 1426811, 1486301, 1551551, 1578961, 1650881, 1662631, 1698131, 1719611, 1758131, 1836451, 6: 7, 13, 31, 43, 73, 157, 211, 241, 307, 421, 463, 601, 757, 1123, 1483, 1723, 2551, 2971, 3307, 3541, 3907, 4423, 4831, 5113, 5701, 6007, 6163, 6481, 8011, 8191, 9901, 10303, 11131, 12211, 12433, 13807, 14281, 17293, 19183, 20023, 20593, 21757, 22651, 23563, 24181, 26083, 26407, 27061, 28057, 28393, 30103, 31153, 35533, 35911, 37057, 37831, 41413, 42643, 43891, 46441, 47743, 53593, 55933, 60271, 60763, 71023, 74257, 77563, 78121, 82657, 83233, 84391, 86143, 95791, 98911, 108571, 110557, 113233, 117307, 118681, 121453, 123553, 127807, 136531, 143263, 145543, 147073, 154057, 156421, 158803, 162007, 163621, 164431, 171811, 173473, 181903, 188791, 189661, 200257, 205663, 207481, 208393, 227053, 239611, 245521, 250501, 262657, 268843, 276151, 281431, 282493, 284623, 288907, 292141, 304153, 307471, 314161, 320923, 322057, 327757, 335821, 339307, 341641, 364213, 366631, 371491, 375157, 386263, 390001, 392503, 403861, 412807, 415381, 446893, 450913, 459007, 471283, 485113, 492103, 519121, 527803, 530713, 540961, 552793, 558757, 570781, 579883, 581407, 590593, 598303, 612307, 617011, 628057, 637603, 642403, 660157, 669943, 671581, 681451, 684757, 699733, 704761, 716563, 731881, 735307, 740461, 747361, 766501, 771763, 792991, 800131, 805507, 809101, 830833, 838141, 843643, 847321, 860257, 903451, 920641, 922561, 939931, 949651, 963343, 975157, 981091, 985057, 987043, 1003003, 1005007, 1015057, 1023133, 1033273, 1041421, 1045507, 1059871, 1084723, 1120423, 1135291, 1139557, 1145971, 1154551, 1161007, 1191373, 1193557, 1204507, 1206703, 1226557, 1246573, 1251043, 1266751, 1278031, 1284823, 1305307, 1314463, 1319053, 1321351, 1353733, 1395943, 1398307, 1419673, 1424443, 1431613, 1441201, 1446007, 1462891, 1482307, 1492063, 1514131, 1573771, 1578793, 1588861, 1596433, 1619257, 1624351, 1626901, 1642243, 1678321, 1712173, 1727911, 1735807, 1751653, 1772893, 1796941, 1804993, 1821151, 1829257, 1848241, 1861861, 1864591, 1886503, 1905781, 1922383, 1939057, 1964203, 2003641, 2020663, 2023507, 2037757, 2057791, 2075041, 2080807, 2083693, 2098153, 2101051, 2115571, 2171203, 2177101, 2203741, 2212657, 2233531, 7: 281, 491, 701, 883, 1471, 2311, 2633, 4271, 6133, 7561, 8933, 11551, 16661, 20483, 28211, 37591, 38011, 46901, 54181, 60383, 67481, 74383, 91141, 104651, 113933, 116131, 128983, 131321, 134471, 138461, 190891, 206291, 218233, 226381, 238883, 296941, 366521, 386401, 398581, 459383, 466733, 489133, 507431, 527633, 546631, 559483, 570851, 605641, 631121, 639731, 687233, 770183, 822221, 847883, 888133, 943951, 977831, 988541, 997151, 1149233, 1212611, 1250971, 1272811, 1292383, 1309631, 1322021, 1400141, 1475251, 1517531, 1571221, 1590233, 1623091, 1645183, 1678601, 1853671, 1898051, 1958041, 1994483, 2096431, 2262233, 2327683, 2367401, 2417521, 2539951, 2571031, 2626751, 8: 17, 41, 97, 281, 409, 457, 617, 937, 1009, 1409, 1777, 2081, 2297, 3137, 4409, 4721, 5209, 5897, 6257, 8009, 8641, 9521, 11657, 12161, 14009, 14561, 18097, 21001, 23057, 24121, 24481, 25577, 26321, 27457, 29009, 37409, 39217, 42961, 43441, 47881, 49409, 50441, 52009, 55217, 56857, 60209, 62497, 67801, 70841, 75209, 76481, 81017, 85009, 87041, 90481, 93281, 97561, 104161, 110977, 120401, 132721, 135257, 139537, 140401, 147409, 152777, 159161, 161009, 169457, 172321, 182041, 194057, 203321, 212801, 227977, 229081, 232409, 238009, 239137, 248257, 252881, 255209, 258721, 270601, 280297, 287681, 298937, 304009, 322097, 331337, 338017, 355697, 376657, 383777, 388081, 393857, 402601, 409961, 429409, 469657, 471241, 476009, 479201, 498577, 500209, 530041, 538481, 560737, 565937, 569417, 574657, 608401, 613817, 624721, 650537, 674977, 680681, 692161, 697937, 709561, 725209, 733097, 751001, 755009, 781321, 791561, 799801, 806009, 824777, 828977, 837409, 867257, 873721, 882377, 893257, 902009, 973561, 982697, 1008041, 1015009, 1024337, 1038409, 1059697, 1102921, 1137137, 1144537, 1147009, 1176881, 1181897, 1222409, 1258417, 1308121, 1329337, 1345361, 1364177, 1394009, 1402201, 1404937, 1413161, 1463009, 1479817, 1505209, 1556641, 1606009, 1632457, 1671041, 1704041, 1743457, 1758737, 1767937, 1826761, 1880209, 1883377, 1908817, 1937641, 1966681, 1969921, 1995937, 2025409, 2038577, 2045177, 2058409, 2068361, 2115121, 2210209, 2220521, 2227409, 2282897, 2300377, 2346137, 2353217, 2363857, 2385209, 2399497, 2442617, 2482481, 2493409, 2508017, 2530009, 2548409, 2559481, 2581697, 2663977, 2675297, 2694217, 2698009, 2778257, 2785961, 2801401, 2867497, 2871409, 2918561, 2942281, 2974057, 9: 19, 109, 199, 631, 829, 1999, 2341, 2971, 3529, 4789, 7039, 7669, 9721, 10459, 10711, 13681, 14851, 16381, 17659, 20359, 25939, 27541, 29611, 31321, 36739, 40591, 42589, 44119, 48871, 53299, 55009, 57331, 62119, 62731, 69661, 70309, 72271, 104149, 114679, 142759, 145549, 154081, 156979, 157951, 178021, 182179, 190639, 193861, 211501, 253999, 260209, 265231, 269029, 275419, 295039, 312589, 323641, 340579, 346321, 380269, 398611, 412651, 436591, 438211, 443089, 451279, 462871, 471241, 476299, 477991, 519499, 533719, 539101, 540901, 577531, 613441, 623071, 652411, 660349, 684451, 700759, 770059, 776521, 778681, 811441, 865261, 885889, 913771, 961201, 968419, 1019701, 1037089, 1049599, 1067239, 1079929, 1173511, 1184149, 1213651, 1216351, 1246249, 1270981, 1282051, 1315549, 1358029, 1427401, 1442071, 1513531, 1525609, 1562131, 1571329, 1586719, 1633339, 1671121, 1674289, 1699741, 1760959, 1816651, 1869859, 1879921, 1910269, 1947691, 2072701, 2076229, 2086831, 2118799, 2129509, 2147419, 2172619, 2201599, 2216161, 2234431, 2245429, 2304541, 2383291, 2394649, 2413639, 2425069, 2471059, 2552581, 2568259, 2580049, 2611621, 2615581, 2627479, 2659339, 2695411, 2707489, 2711521, 2756071, 2891899, 2904409, 2921131, 3009709, 3022471, 3147229, 3199591, 3217141, 3283381, 3305611, 10: 11, 71, 151, 401, 571, 701, 1171, 1451, 1871, 2221, 3011, 3301, 3761, 4421, 4951, 6101, 7151, 8521, 8761, 10271, 11071, 11621, 21851, 22621, 23011, 23801, 26251, 31511, 35771, 52511, 55511, 59221, 61121, 65011, 71761, 78121, 84751, 96401, 98011, 106261, 107951, 121951, 130201, 132071, 135851, 146521, 153521, 158621, 165901, 185371, 194371, 195511, 204751, 248971, 282221, 301751, 307451, 314651, 320471, 324871, 338251, 354971, 375251, 389621, 392851, 397721, 419171, 439471, 455011, 458501, 485101, 497771, 531101, 552001, 553921, 565511, 575261, 623221, 629351, 641701, 662551, 675221, 718321, 724901, 738151, 740371, 774071, 801571, 815501, 865201, 928771, 958871, 969011, 992021, 1062671, 1092151, 1100261, 1116571, 1135751, 1169011, 1174601, 1211261, 1216951, 1271671, 1277501, 1295071, 1321651, 1324621, 1406071, 1458601, 1467971, 1489951, 1508921, 1515271, 1573021, 1595771, 1655021, 1671671, 1685051, 1701851, 1732301, 1745921, 1756171, 1787101, 1814821, 1846261, 1856801, 1881511, 1909951, 1920671, 1942201, 2011171, 2033201, 2073901, 2100011, 2111251, 2133821, 2145151, 2283451, 2398001, 2414021, 2462401, 2531761, 2560601, 2568871, 2606251, 2648101, 2762761, 2836201, 2888621, 2928251, 2945951, 2985971, 3048761, 3066821, 3080401, 3116761, 3130451, 3148751, 3245701, 3273671, 3297071, 3325261, 3358301, 3511421, 3643271, 3677851, 11: 23, 1013, 2311, 2861, 3631, 6491, 7393, 20021, 21187, 36191, 38281, 39887, 51437, 53923, 82787, 85933, 92401, 95723, 113213, 115963, 151537, 155783, 165551, 177893, 193051, 207593, 238261, 242243, 286771, 292601, 305933, 322631, 328813, 402403, 407573, 416263, 423281, 464773, 510137, 590437, 609313, 626341, 634943, 678833, 687787, 694541, 705871, 749761, 761531, 771013, 778163, 826673, 856483, 889373, 917687, 1057541, 1113971, 1125433, 1139843, 1174801, 1219241, 1231231, 1258423, 1457083, 1473473, 1526537, 1577137, 1604461, 1649363, 1762531, 1776941, 1875743, 1984841, 1996303, 2011637, 2046353, 2281291, 2430913, 2447831, 2533301, 2624623, 2642201, 2784937, 2894453, 2908291, 2926793, 3039037, 3076921, 3119821, 3211363, 3368531, 3413411, 3428437, 3433453, 3611323, 3631937, 3735887, 3798961, 3846613, 3948187, 3996763, 4013021, 12: 13, 61, 181, 313, 421, 613, 1201, 1741, 1861, 2113, 2521, 3121, 3613, 4513, 5101, 7321, 8581, 9661, 10513, 14281, 15313, 16381, 19801, 21013, 21841, 24421, 30013, 36721, 37813, 41761, 44701, 52813, 54121, 56113, 60901, 68821, 71821, 76441, 83641, 86113, 90313, 99013, 100801, 101701, 106261, 135721, 139921, 143113, 148513, 156241, 161881, 163021, 165313, 168781, 177013, 199081, 205441, 210601, 218461, 234613, 237361, 241513, 255613, 273061, 277513, 282001, 303421, 304981, 312841, 319201, 332113, 337021, 353641, 377581, 382813, 388081, 405901, 427813, 431521, 437113, 450301, 456013, 459841, 479221, 485113, 489061, 491041, 501001, 525313, 531481, 539761, 552301, 556513, 571381, 584281, 595141, 603901, 617161, 637321, 662401, 685621, 697381, 718801, 726013, 742981, 750313, 770041, 787513, 800113, 825613, 864613, 904513, 909901, 926161, 967441, 987013, 995461, 1009621, 1035361, 1064341, 1073113, 1078981, 1108561, 1117513, 1123501, 1126501, 1153681, 1171981, 1178113, 1187341, 1262461, 1304113, 1343161, 1379461, 1429741, 1453513, 1460341, 1470613, 1515541, 1557613, 1568221, 1629013, 1639861, 1676281, 1720513, 1727941, 1806901, 1833613, 1899301, 2018041, 2042221, 2070613, 2103301, 2132113, 2257813, 2279113, 2330641, 2334961, 2343613, 2356621, 2422201, 2506561, 2542513, 2556061, 2574181, 2601481, 2610613, 2679613, 2693521, 2740141, 2763601, 2820313, 2834581, 2853661, 2892013, 2940313, 3023341, 3172681, 3187813, 3223261, 3238513, 3248701, 3279361, 3330781, 3341113, 3356641, 3377401, 3403441, 3408661, 3455821, 3471613, 3498013, 3535141, 3567121, 3593881, 3647701, 3658513, 3674761, 3696481, 3723721, 3729181, 3795013, 3822613, 3839221, 3878113, 3889261, 3962113, 3973381, 3979021, 4007281, 4047013, 4058401, 4219513, 4307113, 4354201, 4395613, 4443181, 4503001, 13: 157, 521, 911, 1301, 2731, 2887, 4889, 6917, 8737, 15107, 18539, 20177, 30941, 38039, 44617, 52391, 58631, 63727, 82811, 100621, 109201, 112139, 128467, 138139, 147031, 179089, 180337, 239539, 257141, 281581, 299027, 375857, 420421, 433889, 506507, 551461, 605177, 612067, 632971, 658997, 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