List of primes  k.2n + 1  for  300 < k < 600

Compiled by Ray Ballinger and Wilfrid Keller

(Page created in September 2000)

For details and an explanation of the notation used see the initial page for k < 300.
Additional prime lists for  600 < k < 900  and  900 < k < 1200.

Information on the searched intervals at search-a.

Thanks to Nestor Sérgio de Araújo Melo (and to other contributors) for supplying the starting data for this page.

The minimum limit attained for all k on this page is Lim = 1500000, completed in February 2012.


  k     Values of  n

301   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 [1500000]

303   1, 2, 5, 8, 9, 10, 13, 17, 21, 30, 38, 93, 125, 140, 170, 178, 181, 394, 453, 588, 1161, 1221, 1573, 1665, 1745, 3613, 3661, 5750, 6002, 6198, 6393, 6764, 7209, 7514, 9444, 13034, 15277, 16070, 20042, 22970, 22977, 25674, 28438, 31040, 35137, 42410, 60285, 61205, 73798, 85737, 109861, 116033, 173477, 184790, 246281, 303513, 365412, 390873, 397629, 419809, 440274, 468977, 692409, 1044010, 1416878, 1470065, 1491450 [1500000]

305   3, 7, 21, 23, 29, 35, 53, 87, 91, 95, 115, 165, 179, 233, 367, 419, 609, 791, 2937, 3713, 4087, 5071, 6497, 30011, 30783, 32861, 48299, 60155, 143623, 293525, 465959, 567161, 975215, 1024223, 1106333, 1285643 [1500000]

307   2, 8, 16, 26, 34, 112, 182, 226, 304, 782, 6886, 36422, 647786, 1289306 [1500000]

309   1, 2, 3, 6, 9, 21, 51, 53, 57, 67, 69, 106, 143, 163, 193, 194, 231, 338, 343, 1197, 1314, 2178, 2266, 3401, 3422, 4751, 5914, 6097, 11403, 16519, 24227, 24447, 27041, 29591, 41466, 44459, 46522, 49458, 55198, 64177, 71877, 79898, 102411, 110503, 113258, 121319, 164187, 316134, 349902, 441542, 570389, 627517, 918006, 1012107 [1500000]

311   9, 29, 35, 105, 125, 131, 179, 359, 2735, 28199, 47349, 64485, 1094135, 1171199, 1323071 [1500000]

313   4, 10, 16, 24, 70, 184, 250, 432, 460, 792, 8482, 9868, 10954, 14098, 16260, 17770, 19354, 81504, 85672, 158662, 166354, 188914, 327924, 337942, 424318, 519748, 621432, 888288 [1500000]

315   1, 3, 6, 9, 20, 22, 27, 32, 72, 97, 99, 104, 107, 120, 140, 142, 151, 180, 304, 305, 342, 440, 489, 521, 635, 665, 673, 767, 876, 1040, 1313, 1359, 1764, 2032, 2224, 2280, 2783, 2832, 2875, 5256, 8225, 10297, 11124, 12124, 17552, 18592, 24435, 30704, 37467, 39097, 40936, 41000, 43624, 45670, 65897, 83600, 85241, 95934, 99512, 115425, 134770, 266935, 344033, 349352, 359364, 363154, 498239, 565722, 658900, 1162371, 1218433, 1239735, 1459160 [1500000]

317   7, 11, 243, 291, 327, 1211, 7331, 26775, 101603, 171071, 284795, 295195, 323871, 589755, 833467, 1047471 [1500000]

319   2, 10, 18, 274, 314, 522, 562, 578, 594, 602, 930, 1074, 23826, 184554 [1500000]

321   1, 5, 32, 68, 109, 128, 133, 212, 241, 653, 776, 1339, 1787, 2659, 6388, 6547, 8365, 16699, 62861, 64795, 83227, 195376, 278875, 442480, 542876, 730321, 1168576, 1257859 [1500000]

323   1, 5, 145, 329, 381, 465, 3121, 4201, 4309, 12669, 13601, 17221, 33601, 41741, 46921, 65745, 80269, 384685, 1072285 [1500000]

325   2, 14, 18, 32, 42, 72, 144, 174, 282, 318, 828, 1338, 2154, 2750, 4034, 9858, 13692, 49052, 63522, 86784, 117162, 126014, 273090, 302574, 413862, 901902 [1500000]

327   3, 4, 6, 15, 30, 64, 99, 108, 135, 363, 414, 531, 576, 811, 1326, 1414, 1476, 1936, 2371, 3951, 4195, 13324, 21696, 23203, 35790, 46950, 51756, 55174, 61876, 92487, 134104, 691951, 706915 [1500000]

329   1, 3, 5, 9, 11, 15, 27, 55, 87, 105, 111, 163, 225, 311, 487, 537, 723, 735, 771, 1515, 1599, 4685, 5523, 5895, 9723, 20107, 55035, 66355, 108393, 181189, 455645, 604999, 623005, 829207, 1019093, 1246017 [1500000]

331   4, 8, 12, 20, 28, 36, 120, 184, 200, 756, 788, 1304, 6412, 7848, 12944, 40116, 45056, 67520, 129172, 204592, 225568, 615116, 803668 [1500000]

333   5, 6, 9, 18, 25, 33, 50, 54, 69, 70, 101, 153, 176, 245, 401, 448, 745, 768, 806, 840, 1338, 1718, 3504, 4164, 5581, 5729, 6010, 6705, 8076, 10233, 12169, 13345, 55285, 58138, 113589, 197820, 203453, 238130, 364946, 817201, 1068320 [1500000]

335   19, 23, 29, 173, 263, 295, 659, 803, 1075, 1087, 1129, 1189, 3173, 4519, 16277, 44425, 67069, 103789, 151319, 189379, 323767, 356029, 409429, 528439, 1335337 [1500000]

337   4, 6, 10, 26, 64, 66, 70, 102, 322, 370, 570, 1750, 1782, 1974, 2482, 6886, 7782, 9784, 20476, 34826, 37546, 46566, 47800, 132962, 184230, 257930, 286554, 370274, 544852, 648856 [1500000]

339   3, 11, 17, 21, 26, 50, 62, 125, 165, 278, 290, 1227, 1275, 1325, 2153, 2450, 2811, 3327, 5921, 6321, 7095, 8657, 8786, 9687, 12221, 14163, 30686, 63975, 73767, 132551, 356991, 364797, 442065, 464483, 559637, 632297, 972755 [1500000]

341   1, 3, 7, 19, 21, 33, 43, 99, 183, 235, 499, 579, 1137, 1225, 1941, 1987, 2409, 3285, 9093, 9121, 11043, 14997, 17919, 31543, 57163, 83595, 127915, 129199, 220651, 384961, 1255881, 1325277 [1500000]

343   2, 20, 22, 46, 58, 226, 3760, 7060, 16192, 22018, 35576, 103952, 113326, 120716, 285122, 543148, 785510, 1033126 [1500000]

345   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 [1500000]

347   3, 7, 15, 23, 27, 175, 259, 391, 607, 679, 863, 927, 999, 1339, 1371, 1555, 2103, 2151, 2715, 5619, 6411, 7055, 12927, 19015, 26095, 42523, 45719, 55519, 70971, 87663, 176007, 243391, 287083, 544887, 696327, 902995, 1041223, 1061675, 1218211, 1355595, 1372215 [1500000]

349   10, 26, 38, 46, 1114, 2294, 26566, 115870, 433066, 561646 [1500000]

351   12, 13, 15, 31, 36, 45, 53, 123, 153, 155, 172, 223, 247, 269, 287, 353, 1416, 2601, 3525, 3833, 4709, 5533, 6091, 6163, 7545, 7879, 10995, 11036, 12361, 12953, 13132, 13252, 19885, 20108, 22891, 28795, 33195, 34213, 39372, 46689, 57273, 62733, 66492, 68291, 79685, 94415, 99837, 137697, 164865, 177629, 177815, 277896, 299793, 312439, 449453, 588325, 680731, 721669, 789555, 825183, 1010661, 1221009, 1306875 [1500000]

353   21, 369, 143841, 286149 [1500000]

355   6, 12, 24, 34, 46, 138, 174, 816, 1164, 1668, 1704, 5334, 10126, 11340, 13818, 18564, 82968, 202986, 241368, 285492, 1482390 [1500000]

357   2, 3, 7, 8, 10, 14, 18, 23, 26, 27, 35, 44, 46, 50, 55, 56, 59, 67, 80, 115, 138, 248, 280, 319, 372, 416, 454, 624, 662, 686, 702, 707, 806, 847, 866, 1422, 1930, 2115, 2835, 3283, 3358, 3510, 4420, 9284, 10007, 10990, 13775, 14466, 14558, 16099, 16319, 22116, 24318, 35567, 49420, 54392, 56306, 87607, 122339, 125339, 185400, 221430, 286262, 286672, 299826, 311519, 406810, 836586, 849599, 1006483, 1051783, 1311930, 1355535, 1491595 [1500000]

359   1, 5, 7, 9, 47, 55, 65, 69, 97, 103, 273, 1231, 1721, 2277, 3981, 4125, 4569, 5135, 8327, 8593, 24249, 37609, 396617, 633247, 920709 [1500000]

361   28, 36, 100, 312, 568, 2584, 9144, 37284, 96720, 105132, 147084, 222292, 280728, 292600, 1459308 [1500000]

363   1, 2, 5, 16, 29, 61, 136, 145, 157, 178, 560, 581, 1001, 1234, 1325, 1370, 1405, 1541, 2761, 2984, 5441, 6386, 9769, 10756, 14144, 18385, 26233, 27496, 42422, 48865, 72473, 115372, 123262, 123836, 229264, 359725, 401653, 484076, 611998, 762961, 1319756 [1500000]

365   5, 11, 19, 63, 93, 95, 103, 147, 275, 293, 539, 623, 1115, 1181, 1691, 1811, 2711, 2919, 3467, 4067, 5115, 5815, 6279, 7877, 8831, 18717, 24399, 25125, 27199, 32823, 122075, 162789, 276735, 561783, 586189 [1500000]

367   12, 48, 72, 84, 228, 306, 360, 404, 524, 1062, 1992, 4320, 4460, 9396, 10832, 15834, 43500, 117828, 142760, 204360, 251898, 693348, 713484, 1103912 [1500000]

369   1, 3, 13, 39, 61, 99, 111, 121, 142, 385, 1753, 2203, 2581, 3603, 8674, 10507, 13815, 19231, 49255, 53593, 56754, 73849, 98655, 100710, 171001, 241359, 423535, 617047, 623979, 1209435, 1240510 [1500000]

371   1, 3, 23, 27, 39, 41, 97, 101, 123, 183, 201, 311, 411, 519, 551, 557, 867, 1583, 1607, 2007, 2207, 2213, 5999, 8253, 15573, 23163, 29939, 36371, 40403, 61977, 126861, 127419, 267911, 299159, 341511, 367439, 373847, 614517, 665639, 1099061, 1475337 [1500000]

373   2, 6, 14, 36, 62, 92, 122, 292, 758, 4436, 5526, 11066, 14076, 17036, 23618, 25412, 33692, 61358, 71018, 92156, 158476, 334026, 641606 [1500000]

375   1, 3, 6, 8, 10, 13, 14, 16, 17, 21, 22, 26, 30, 32, 33, 39, 49, 53, 152, 162, 181, 233, 328, 576, 629, 666, 824, 850, 919, 1131, 1738, 1782, 1957, 1983, 2601, 2643, 2729, 2784, 2817, 2973, 3226, 3478, 3759, 5479, 6642, 10889, 12869, 15926, 16718, 18022, 23104, 27901, 36168, 39850, 41227, 48984, 60693, 61423, 67469, 94190, 101037, 101046, 106736, 107139, 126096, 129298, 158463, 203442, 207936, 209240, 224232, 274741, 321490, 428451, 485466, 546458, 671720, 726199, 995829, 1244550 [1500000]

377   11, 143, 619, 3859 [1500000]

379   14, 26, 30, 94, 334, 498, 714, 1446, 2086, 110994, 257734, 314070, 1453534 [1500000]

381   3, 15, 17, 20, 21, 41, 44, 51, 113, 140, 179, 219, 249, 323, 461, 521, 671, 680, 692, 695, 716, 809, 825, 887, 897, 1055, 1439, 1641, 2873, 4103, 4593, 6912, 9551, 13472, 21131, 23403, 101225, 104471, 135993, 163931, 169824, 182969, 224085, 273672, 287543, 309701, 315812, 409395, 428660, 461496, 636195, 893913, 914549, 1279983 [1500000]

383   6393, 23265, 84057, 1164513 [1500000]

385   8, 10, 14, 16, 36, 62, 76, 88, 114, 138, 258, 278, 338, 416, 538, 590, 736, 1074, 1154, 1262, 1768, 2602, 2820, 3436, 3702, 3970, 4778, 5990, 7598, 8088, 9398, 9628, 13036, 14954, 15112, 16334, 16636, 17958, 22994, 23054, 25130, 30660, 35358, 64560, 78770, 83172, 83632, 87742, 94908, 177136, 190524, 238760, 270684, 534324, 557488, 676390, 676460, 864614, 1016080 [1500000]

387   2, 7, 15, 27, 28, 60, 67, 82, 88, 122, 179, 202, 235, 298, 519, 655, 2712, 4132, 5018, 9378, 9688, 17080, 21367, 23127, 61803, 109408, 143095, 143440, 285780, 867355 [1500000]

389   11, 57, 59, 115, 299, 347, 715, 3845, 5157, 16945, 27949, 66379, 142649, 233985, 572625, 976169, 1186577 [1500000]

391   4, 20, 28, 40, 88, 92, 328, 1052, 1420, 2888, 3944, 5888, 22544, 154912, 716668 [1500000]

393   1, 5, 6, 8, 13, 17, 21, 24, 25, 37, 41, 46, 173, 185, 285, 313, 344, 368, 421, 550, 558, 669, 709, 749, 781, 956, 1009, 1141, 1165, 1441, 1461, 1849, 1961, 2070, 2409, 2453, 2658, 2998, 4493, 5737, 6281, 7113, 8488, 8877, 9198, 9777, 10266, 11428, 14200, 20728, 21018, 23600, 26469, 35098, 45126, 78058, 118824, 161008, 163501, 171861, 247685, 278045, 313573, 402457, 482773, 513153, 571884, 816693, 951236 [1500000]

395   5, 11, 23, 41, 221, 485, 839, 3029, 6479, 15455, 16715, 38399, 38525, 38645, 167501, 185571, 505679, 649445, 764369, 797849, 1106091, 1309751, 1447971, 1480715 [1500000]

397   4, 6, 16, 24, 30, 36, 40, 52, 60, 78, 132, 204, 352, 556, 1936, 4876, 5278, 6450, 6546, 9498, 10878, 13012, 22356, 24498, 28768, 29952, 41050, 46242, 56874, 61414, 74148, 81306, 118090, 134056, 391200, 598342, 825972, 1293028 [1500000]

399   2, 6, 11, 14, 15, 42, 59, 66, 75, 91, 102, 126, 131, 195, 795, 811, 1410, 1631, 2219, 2259, 2394, 2971, 3811, 5742, 8725, 8822, 10950, 11870, 15895, 16350, 24731, 27819, 29669, 30151, 42499, 43899, 57134, 59759, 77622, 78675, 78735, 81739, 87379, 127975, 131474, 242531, 499635, 1307450 [1500000]

401   3, 7, 57, 123, 615, 2103, 2793, 7873 [1500000]

403   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 [1500000]

405   1, 2, 4, 8, 10, 14, 32, 43, 46, 58, 80, 163, 184, 227, 262, 361, 592, 602, 623, 638, 2287, 2680, 3674, 11221, 12278, 12556, 12763, 15412, 21472, 49118, 57040, 64825, 121262, 127495, 300604, 572623, 769828, 904000 [1500000]

407   3, 11, 15, 23, 75, 119, 159, 215, 227, 235, 931, 979, 1147, 1727, 2495, 2827, 3219, 4787, 6191, 11815, 12823, 18619, 21203, 24547, 34115, 61455, 71495, 105091, 109115, 120827, 121203, 149607, 198907, 211167, 499431, 541955, 584491, 864871, 1013603, 1171719, 1337203 [1500000]

409   2, 6, 18, 110, 186, 318, 398, 1922, 3290, 4346, 5042, 6638, 8306, 59066, 66758, 182198, 214406, 260810, 709350, 947018, 1384346 [1500000]

411   1, 4, 7, 19, 37, 55, 72, 79, 81, 136, 139, 955, 976, 979, 1537, 1579, 2292, 3277, 4644, 6007, 6391, 6805, 17959, 25999, 58327, 60919, 112957, 117781, 130204, 181176, 192637, 459595, 793944, 1078339 [1500000]

413   1, 5, 9, 13, 25, 85, 113, 133, 185, 217, 269, 285, 469, 1025, 2289, 4849, 5681, 8489, 12937, 18485, 18809, 20189, 34361, 40509, 41593, 44181, 46517, 68681, 130421, 186893, 187937, 255137, 457801, 469901, 970353, 1387625 [1500000]

415   6, 10, 26, 30, 40, 50, 68, 94, 106, 114, 140, 328, 386, 438, 1540, 1976, 2024, 3944, 3988, 5378, 6068, 6394, 7198, 9040, 10666, 35860, 39884, 119234, 131246, 240190, 315390, 392106, 438776, 675284, 758994, 1055734 [1500000]

417   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 [1500000]

419   1, 7, 11, 19, 53, 91, 133, 187, 211, 263, 281, 331, 437, 793, 1151, 3689, 6547, 13771, 14749, 32009, 32843, 46223, 79801, 169463, 180733, 463079 [1500000]

421   4, 8, 12, 16, 24, 36, 72, 196, 576, 928, 3336, 5172, 5996, 6196, 13204, 28484, 36984, 43740, 58744, 62244, 112876, 127852, 143208, 170612, 174372, 221372, 350356, 832528, 1070460 [1500000]

423   2, 5, 6, 8, 9, 12, 17, 24, 44, 48, 57, 68, 74, 125, 204, 272, 306, 345, 378, 488, 528, 678, 750, 974, 1140, 2274, 2928, 4532, 4533, 6173, 7784, 12500, 14436, 15404, 16406, 56730, 76332, 150317, 207956, 215652, 256686, 269598, 276024, 509720, 644966, 850217, 1075392, 1105874 [1500000]

425   7, 27, 31, 43, 79, 169, 193, 241, 511, 987, 1273, 1807, 2671, 3327, 3409, 8469, 12691, 16465, 50595, 62155, 154323, 336465, 479187, 524997, 641553, 1048563 [1500000]

427   2, 4, 6, 8, 12, 20, 22, 56, 66, 94, 136, 142, 174, 186, 200, 286, 352, 362, 512, 582, 842, 1056, 1080, 1144, 1242, 1810, 4802, 5106, 6914, 12982, 16760, 19958, 20108, 22194, 23512, 29636, 42816, 66178, 70624, 81390, 129958, 184046, 278876, 343432, 396612, 492076, 570112, 600836, 817200, 861652, 872414, 1321706, 1385238 [1500000]

429   1, 3, 5, 6, 9, 11, 21, 27, 37, 54, 55, 113, 147, 181, 185, 222, 313, 317, 695, 1003, 1270, 1385, 1483, 1519, 1567, 2057, 2550, 4014, 4467, 5773, 6078, 6103, 7951, 9958, 11317, 11807, 12974, 14046, 14401, 14585, 16686, 17433, 37525, 62486, 65195, 76726, 85881, 86670, 334091, 423821, 472505, 498391, 599478, 611081, 656445, 761198, 1076923, 1220185, 1301821, 1400083, 1499779 [1500000]

431   1, 3, 9, 15, 23, 45, 47, 95, 225, 309, 363, 923, 1425, 1473, 1667, 2073, 2099, 2483, 2575, 3183, 4483, 5807, 6537, 10761, 18217, 18847, 27357, 36847, 53527, 67645, 67785, 91527, 140545, 196309, 199513, 266999, 538215, 720583, 778485, 989383, 1022695, 1315773 [1500000]

433   2, 8, 32, 38, 46, 58, 92, 212, 242, 332, 494, 1088, 3428, 39758, 58214, 70196, 101474 [1500000]

435   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 [1500000]

437   23, 83, 467, 2267, 64835, 105599 [1500000]

439   6, 18, 34, 54, 58, 454, 538, 994, 1122, 3222, 6582, 8886, 14974, 53014, 127086, 499662, 1112314, 1288818, 1408326 [1500000]

441   1, 3, 4, 13, 17, 21, 47, 76, 91, 137, 167, 181, 211, 347, 353, 407, 479, 553, 591, 747, 981, 1407, 3009, 3127, 6483, 10269, 17427, 21181, 24349, 36081, 54843, 56607, 64369, 64917, 66583, 79719, 83187, 109149, 133580, 137788, 141836, 145604, 146909, 181439, 203089, 293727, 400444, 776036, 920683 [1500000]

443   1, 5, 9, 33, 45, 245, 401, 565, 289073, 291693, 1189865 [1500000]

445   4, 8, 10, 22, 40, 52, 56, 58, 136, 152, 154, 208, 316, 356, 364, 472, 752, 1006, 1244, 2324, 2684, 3980, 5468, 8552, 10236, 14240, 15460, 20984, 21862, 24682, 26900, 35588, 39344, 45984, 64762, 73786, 142612, 189464, 230204, 292018, 449804, 1138720, 1328250, 1408906 [1500000]

447   2, 16, 19, 20, 23, 50, 52, 71, 116, 286, 379, 391, 395, 410, 454, 476, 700, 716, 1340, 1442, 1712, 1996, 2231, 2396, 2783, 2959, 4124, 4466, 7424, 8186, 9542, 10523, 12959, 14803, 19136, 23011, 27032, 33091, 35276, 35302, 36052, 39139, 81736, 125815, 167695, 189350, 248539, 608666, 784892, 789416, 899570, 982256, 1077379 [1500000]

449   3, 5, 17, 25, 53, 65, 75, 93, 227, 263, 265, 455, 627, 805, 1187, 1253, 3345, 6377, 11465, 11977, 12317, 25097, 34683, 42097, 113387, 139585, 186287, 214323, 1093035 [1500000]

451   12, 24, 4128, 6444, 6740, 49344, 66300, 72468, 186740, 282540, 512076, 976320, 1316832 [1500000]

453   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 [1500000]

455   1, 5, 9, 15, 17, 37, 111, 139, 185, 287, 297, 561, 705, 769, 1187, 1537, 1795, 2571, 3391, 9367, 11355, 11871, 13739, 15381, 30201, 34227, 40515, 201207, 220397, 247841, 461215, 599531, 689757, 897885, 1289501, 1493715 [1500000]

457   8, 28, 34, 70, 90, 158, 280, 320, 448, 1240, 3700, 6608, 7508, 23514, 34144, 74760, 118920, 131668, 353700, 863568, 915684 [1500000]

459   1, 3, 9, 18, 19, 21, 29, 35, 51, 53, 57, 75, 111, 150, 175, 273, 279, 306, 317, 475, 669, 717, 750, 1291, 1326, 1449, 1483, 1505, 1779, 2011, 2745, 3503, 3978, 6190, 6634, 7137, 8529, 10883, 12465, 17777, 18155, 18490, 26211, 26723, 27730, 28038, 28074, 32795, 42770, 48715, 52949, 60323, 66203, 66383, 95589, 125085, 149146, 153774, 241665, 304739, 313426, 562794, 565374, 574949, 593309, 777071, 816031, 858806, 1176058 [1500000]

461   5, 7, 17, 41, 175, 14621, 14711, 25775, 49591, 120767, 204809, 655327 [1500000]

463   6, 8, 30, 62, 96, 118, 222, 332, 472, 528, 1086, 1388, 1720, 2110, 2726, 4120, 9112, 20120, 24750, 27512, 39332, 50832, 64140, 65668, 86092, 89190, 109500, 226710, 353160, 575902, 728692, 1122510 [1500000]

465   2, 6, 9, 21, 41, 50, 74, 105, 119, 161, 191, 246, 255, 402, 419, 540, 941, 1085, 1245, 1250, 1415, 1992, 2169, 2243, 2640, 4908, 5102, 6410, 9078, 13215, 15609, 16239, 19059, 25070, 27326, 30455, 30681, 44255, 64833, 81269, 112710, 119001, 187589, 201468, 202299, 207246, 297375, 320493, 366696, 573441, 652931, 671915, 876113, 1042293, 1096176, 1146888 [1500000]

467   19, 247, 547, 1783, 3475, 10987, 23599, 266899, 387139, 785695 [1500000]

469   2, 190, 242, 326, 1562, 31430, 43666, 497206, 504610 [1500000]

471   3, 4, 5, 7, 8, 11, 17, 20, 36, 40, 43, 47, 53, 71, 107, 123, 225, 345, 368, 460, 468, 625, 652, 807, 1036, 1107, 1285, 1531, 1613, 1820, 1837, 2084, 2195, 3512, 3604, 4427, 6273, 6945, 7112, 8615, 9223, 9564, 12265, 22697, 23895, 26435, 26492, 31313, 35297, 48795, 58577, 75104, 75573, 103323, 109387, 127824, 200475, 303831, 347540, 459963, 498476, 1023095, 1273000, 1320865 [1500000]

473   1, 5, 37, 109, 2045, 49141, 54569, 65485, 148957, 174989, 180613, 231197, 479081, 1055381 [1500000]

475   2, 26, 38, 100, 340, 686, 2062, 2786, 26698, 40330, 377668, 447826, 759412, 1269578 [1500000]

477   6, 7, 14, 15, 18, 27, 39, 42, 50, 54, 71, 88, 99, 102, 104, 138, 168, 275, 306, 615, 1274, 1375, 1824, 1890, 3055, 4379, 5167, 5538, 11775, 11895, 14567, 15547, 21746, 23250, 24824, 25322, 29310, 39567, 43806, 50560, 73370, 76074, 100215, 123528, 127599, 135470, 361971, 365800, 423704, 433299, 447278, 735735, 743610 [1500000]

479   3, 5, 21, 45, 123, 209, 297, 401, 489, 761, 3159, 4023, 5321, 5907, 7041, 10407, 10491, 11477, 11577, 12471, 12651, 24353, 78905, 122561, 205385, 280713, 336651 [1500000]

481   64, 196, 2164, 2956, 110748, 1263444 [1500000]

483   1, 2, 13, 14, 18, 21, 22, 26, 56, 73, 74, 121, 133, 169, 192, 193, 226, 242, 282, 346, 356, 416, 517, 812, 1653, 2458, 2468, 4492, 4994, 5648, 6498, 12188, 12741, 12973, 17026, 18421, 19112, 22918, 23017, 33796, 47288, 77054, 77638, 80998, 102157, 104204, 111682, 117322, 216397, 222141, 340489, 528297, 689536, 895392 [1500000]

485   1, 3, 7, 19, 31, 111, 147, 257, 259, 307, 313, 383, 401, 451, 481, 483, 519, 2361, 5271, 9871, 16571, 21097, 31369, 32547, 56873, 59089, 62599, 93193, 107519, 121913, 131649, 338297, 392353, 542823, 591787, 617483 [1500000]

487   2, 4, 8, 10, 14, 16, 18, 24, 26, 28, 36, 44, 62, 64, 94, 110, 136, 220, 352, 538, 546, 836, 1104, 1364, 2860, 2914, 3028, 3066, 3416, 4600, 7552, 7910, 10098, 11572, 17722, 19792, 21980, 27526, 30366, 36062, 38544, 60774, 198836, 198998, 246494, 290788, 299416, 391180, 412864, 509982, 713174, 804524, 1005892, 1340126, 1382068 [1500000]

489   5, 13, 19, 37, 49, 50, 65, 119, 599, 803, 919, 1045, 1106, 1789, 6155, 9226, 9415, 17759, 46834, 75977, 97789, 327298, 704557, 851818 [1500000]

491   1, 3, 9, 25, 29, 73, 85, 89, 161, 169, 233, 241, 261, 273, 859, 1197, 1565, 5619, 6707, 12059, 21673, 22169, 28521, 54245, 60789, 66685, 92217, 97049, 112457, 123281, 137833, 143029, 181753, 205337, 331877, 394425, 532821, 698645, 963373, 1382361 [1500000]

493   2, 680, 798, 1112, 2858, 5862, 11318, 12056, 24812, 30242, 30786, 31314, 81776, 398564, 473996 [1500000]

495   1, 7, 16, 24, 28, 33, 39, 46, 49, 73, 84, 127, 223, 271, 276, 591, 636, 663, 973, 1248, 1768, 2968, 3633, 6856, 12256, 13657, 20206, 28396, 30856, 32734, 37378, 72541, 134209, 149433, 214668, 340276, 439656, 496551, 915316, 959268 [1500000]

497   7, 11, 19, 31, 35, 71, 79, 235, 319, 1391, 1559, 43815, 60651, 86135, 420907, 687675, 1154735, 1366295 [1500000]

499   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 [1500000]

501   4, 5, 8, 12, 13, 37, 40, 45, 53, 60, 61, 77, 120, 125, 152, 159, 205, 269, 323, 344, 351, 629, 992, 1484, 1525, 1619, 1717, 2067, 2389, 2968, 3219, 3508, 3624, 3749, 4180, 6711, 6744, 9143, 10805, 13688, 20240, 23269, 28045, 31301, 32944, 36344, 63005, 72312, 82053, 86477, 102983, 122919, 176392, 262493, 305468, 400632, 515543, 618284, 621532 [1500000]

503   5, 13, 17, 277, 461, 1205, 530429, 1481165 [1500000]

505   4, 6, 8, 14, 32, 36, 38, 42, 54, 68, 96, 138, 158, 182, 214, 386, 684, 754, 964, 1214, 2308, 5176, 10944, 11254, 26242, 38804, 100534, 150714, 177876, 196076, 232858, 372068, 421148, 729568, 737538, 902346, 1457394 [1500000]

507   2, 3, 8, 11, 20, 23, 26, 30, 32, 72, 74, 92, 180, 200, 236, 251, 342, 360, 563, 702, 962, 1340, 1398, 1559, 2034, 3704, 4238, 5906, 8186, 22230, 32787, 41688, 157730, 190328, 200448, 266414, 287372, 305996, 504116, 516086, 545696, 766007 [1500000]

509   1, 3, 9, 13, 31, 33, 39, 51, 105, 121, 241, 369, 531, 1459, 1993, 2215, 4261, 6049, 43261, 88509, 120823, 128091, 196953, 233445, 687055, 702529, 703365, 903199 [1500000]

511   8, 264, 1392, 317328, 495800 [1500000]

513   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 [1500000]

515   1, 5, 7, 11, 17, 31, 65, 77, 81, 93, 127, 131, 265, 401, 671, 751, 815, 1123, 1271, 2003, 2623, 2801, 3477, 3573, 3677, 4697, 6801, 9655, 12905, 13403, 14505, 25521, 26071, 33781, 36227, 41753, 42011, 46957, 57077, 64451, 118345, 157093, 235937, 296633, 451661, 523017, 555895, 844391, 903307, 963097, 1223805 [1500000]

517   2, 4, 22, 40, 50, 64, 148, 244, 310, 466, 532, 626, 1186, 1754, 3074, 3406, 5692, 6098, 7546, 8330, 12274, 18232, 48242, 52622, 53618, 62618, 72826, 75322, 77102, 431558, 514430, 654868, 1117948 [1500000]

519   1, 3, 9, 10, 11, 15, 26, 38, 55, 63, 70, 73, 75, 129, 145, 166, 186, 239, 310, 311, 370, 503, 585, 638, 675, 879, 961, 1103, 1110, 1139, 1150, 1811, 2115, 2921, 3283, 3465, 4218, 4673, 5358, 5489, 9490, 10855, 10963, 16610, 17223, 19790, 23258, 28391, 29961, 30639, 41726, 62585, 64466, 99246, 178503, 188699, 218615, 230775, 295153, 296969, 302118, 306606, 483915, 538118, 567235, 598018, 629945, 839859, 1035179, 1081499 [1500000]

521   5, 11, 21, 29, 39, 47, 65, 71, 89, 119, 869, 1599, 2027, 2781, 2877, 5217, 5361, 5757, 5897, 12815, 30011, 38477, 49317, 222551, 312137, 443237, 494105, 808841, 861731 [1500000]

523   4, 250, 300, 11424, 27570, 106920, 293904 [1500000]

525   1, 3, 6, 8, 11, 13, 26, 28, 35, 56, 125, 170, 190, 245, 315, 368, 666, 1006, 1148, 2030, 2336, 3058, 3358, 3560, 4105, 4218, 5130, 5576, 6360, 7370, 8161, 8476, 11318, 12848, 14766, 37148, 43453, 46186, 55690, 69050, 91126, 113560, 182776, 183716, 523046, 540866, 701955, 707670, 914283, 1258688 [1500000]

527   3, 11, 47, 71, 179, 431, 8595, 11991, 13599, 16715, 19335, 22383, 23063, 24251, 67331, 76643, 124919, 344799, 450695 [1500000]

529   6, 14, 26, 62, 66, 102, 122, 126, 230, 234, 246, 410, 1554, 6186, 16566, 31410, 133314, 160602, 261462 [1500000]

531   1, 5, 8, 28, 41, 49, 52, 53, 76, 80, 124, 136, 209, 329, 584, 700, 944, 2633, 3568, 4052, 4085, 5488, 5503, 5672, 5993, 6625, 16781, 23536, 26995, 28129, 29188, 39245, 43780, 48548, 51544, 74740, 78949, 79961, 86593, 98248, 145129, 213721, 235273, 244952, 279188, 285341, 285421, 311500, 320981, 345145, 373000, 755972, 807349, 1128640, 1233440 [1500000]

533   13, 29, 229, 237, 1245, 1349, 1357, 1513, 2049, 2153, 4069, 19465, 21229, 54965, 83077, 120997, 201797, 302349, 1462557, 1499097 [1500000]

535   2, 26, 90, 210, 242, 260, 606, 1626, 2234, 2526, 3134, 4754, 7154, 11610, 28350, 36974, 47414, 149690, 186972, 326442, 430370, 873944 [1500000]

537   3, 6, 7, 18, 24, 30, 34, 82, 102, 106, 142, 178, 250, 406, 534, 907, 1071, 1182, 1476, 1542, 2083, 2232, 4798, 5011, 8323, 9715, 9852, 14643, 16315, 22003, 23286, 24946, 89146, 131746, 134062, 186714, 190404, 191022, 283086, 350802, 610990, 666454, 750490, 762171, 872958, 997366, 1201791, 1421571 [1500000]

539   7, 9, 11, 33, 35, 53, 55, 65, 151, 159, 167, 197, 233, 251, 293, 461, 545, 1403, 1755, 1877, 2255, 4709, 8297, 8959, 11731, 12597, 14203, 26739, 29227, 31727, 31979, 46027, 68811, 82349, 86983, 176069, 207751, 208571, 256131, 356083, 359673, 621357, 712665, 1028727, 1350581 [1500000]

541   8, 16, 36, 56, 120, 272, 328, 560, 900, 1160, 1552, 1608, 8320, 42260, 79696, 79796, 107832, 273916, 319132, 454960, 1130876 [1500000]

543   1, 4, 5, 9, 18, 21, 26, 29, 36, 41, 45, 46, 65, 85, 125, 181, 460, 481, 689, 1605, 2137, 2212, 2406, 3364, 3676, 4129, 4458, 6460, 7638, 7814, 8581, 10321, 11746, 18037, 20461, 30606, 32466, 49886, 55789, 61634, 97985, 100165, 129214, 132510, 181565, 196185, 196204, 238252, 291950, 327396, 350089, 359917, 400370, 400981, 540826, 684986, 751477, 815377, 986194 [1500000]

545   1, 7, 13, 17, 31, 35, 67, 73, 109, 221, 293, 325, 341, 395, 397, 439, 541, 583, 1727, 2003, 2195, 2233, 2563, 2591, 2615, 2945, 3433, 3629, 3961, 9157, 10543, 11965, 25535, 26455, 40675, 51313, 76247, 116411, 129355, 175793, 266603, 346843, 950609, 982037, 1185295, 1200769 [1500000]

547   4, 24, 36, 74, 76, 104, 228, 764, 1148, 1740, 5798, 6218, 6500, 7330, 7668, 7736, 9728, 12334, 18228, 31020, 35264, 45670, 47304, 112918, 288540, 1118868 [1500000]

549   5, 11, 21, 42, 65, 155, 231, 273, 275, 285, 1437, 3705, 7722, 21173, 126879, 243209, 279417, 290511, 471189, 529887, 603675, 1033187 [1500000]

551   1, 3, 7, 13, 19, 469, 631, 1291, 3111, 3241, 27879, 58743, 97861, 230403, 1132501 [1500000]

553   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 [1500000]

555   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 [1500000]

557   3, 39, 63, 451, 1011, 7599 [1500000]

559   2, 10, 22, 70, 74, 202, 226, 314, 338, 382, 506, 530, 710, 1154, 1862, 3026, 3034, 7798, 9326, 11366, 19810, 21962, 155726, 215774, 275470, 383746, 624122, 868190, 920830, 1062454 [1500000]

561   1, 7, 8, 9, 12, 13, 15, 16, 39, 40, 44, 49, 51, 67, 72, 81, 93, 105, 108, 117, 124, 195, 235, 248, 275, 277, 324, 443, 472, 484, 588, 589, 815, 1415, 1527, 2023, 2128, 2395, 2401, 2780, 2815, 3192, 3328, 3421, 3423, 3904, 3927, 4011, 4319, 7688, 7879, 10113, 14799, 15515, 18156, 21745, 21901, 26792, 29519, 41689, 43792, 51013, 68411, 95793, 100160, 132679, 194136, 298156, 373080, 516347, 654972, 664923, 739547, 783417, 837235, 896763, 994052, 1423021 [1500000]

563   9, 41, 53, 57, 185, 417, 549, 609, 3261, 9953, 44465, 91013, 310901 [1500000]

565   4, 6, 12, 22, 28, 48, 168, 204, 256, 294, 372, 424, 556, 990, 2392, 3550, 4198, 7452, 7948, 10630, 11094, 35380, 37632, 117240, 149020, 193900, 235726, 329140, 364806, 899740, 1462336 [1500000]

567   2, 7, 11, 24, 34, 64, 78, 120, 138, 191, 220, 299, 372, 378, 450, 478, 582, 680, 974, 1004, 1183, 1728, 4367, 6042, 6407, 7392, 8371, 10064, 17479, 22078, 22579, 23023, 23630, 26318, 31339, 32082, 85700, 96527, 221059, 286027, 313327, 403432, 524044, 643700, 848228, 1169602 [1500000]

569   15, 27, 39, 43, 51, 85, 111, 151, 275, 831, 903, 919, 1391, 1499, 2535, 3043, 3205, 5285, 6125, 38023, 61203, 71099, 87119, 188655, 270519, 375307, 580181, 662317, 830367, 1075029, 1282077 [1500000]

571   4, 16, 32, 44, 56, 404, 9872, 22432, 29624, 36116, 36304, 101072, 108052, 222592, 512192, 1078408, 1258052 [1500000]

573   2, 13, 17, 22, 89, 92, 193, 269, 314, 344, 377, 814, 1190, 3397, 3977, 4877, 5332, 27238, 39604, 46550, 70804, 321688, 1400092 [1500000]

575   1, 5, 15, 21, 35, 39, 43, 51, 53, 61, 81, 93, 103, 111, 131, 133, 165, 181, 291, 319, 323, 1975, 2095, 2175, 2381, 2455, 2499, 3009, 5049, 6139, 10229, 12731, 13319, 20473, 32271, 43843, 49305, 55903, 65283, 69939, 104475, 120715, 172141, 439101, 857203, 1054995 [1500000]

577   2, 6, 12, 14, 18, 20, 92, 98, 102, 156, 290, 330, 524, 1602, 6036, 7142, 10706, 12300, 13166, 21150, 28550, 33812, 35738, 37610, 45294, 94254, 101322, 121838, 149078, 168654, 173082, 359574, 673046, 904476, 1235058 [1500000]

579   6, 10, 21, 45, 46, 69, 99, 273, 346, 537, 630, 1110, 2206, 2710, 4674, 7422, 17674, 29919, 68286, 125190, 151047, 186177, 226762, 444561, 895467, 1255762, 1471002 [1500000]

581   1, 3, 5, 13, 21, 31, 43, 55, 75, 91, 93, 203, 271, 315, 605, 613, 853, 1101, 1541, 1615, 2345, 3081, 3125, 13131, 20635, 33393, 37783, 38541, 45345, 71053, 203315, 489603, 606443, 1438385 [1500000]

583   2, 6, 8, 12, 30, 48, 66, 134, 316, 366, 476, 530, 554, 646, 710, 1184, 1428, 1478, 2224, 3138, 3966, 6904, 7012, 8512, 9300, 14354, 14736, 22454, 22780, 27422, 32772, 123476, 485520, 494466, 943948, 1219350, 1480974 [1500000]

585   1, 2, 6, 9, 11, 17, 19, 32, 45, 57, 61, 66, 86, 95, 162, 217, 230, 339, 399, 456, 812, 1441, 1469, 1810, 2255, 2337, 2610, 3536, 3690, 3870, 6137, 9355, 10457, 14052, 14715, 14847, 23437, 24062, 26862, 28137, 30426, 30476, 48160, 55066, 74557, 78755, 91215, 96541, 103867, 115920, 133669, 147799, 189812, 216701, 218089, 274017, 342299, 360135, 604450, 675972, 713989, 971070, 1121215, 1251530 [1500000]

587   227, 2147, 4195, 21811, 116831, 1198111, 1300051 [1500000]

589   2, 22, 34, 62, 102, 310, 318, 542, 2090, 3082, 5782, 6410, 49422, 65334, 149402, 459218, 1148198, 1440410 [1500000]

591   3, 5, 9, 11, 41, 53, 56, 93, 195, 245, 249, 411, 651, 993, 1541, 1757, 5243, 5340, 5564, 6657, 8744, 12695, 13116, 22097, 30008, 35127, 42797, 46397, 114941, 136239, 185669, 273080, 338187, 446597, 558045, 1176188 [1500000]

593   1, 9, 33, 117, 141, 1129, 1345, 4981, 10849, 78085, 96489, 143361, 222121, 546309, 975577 [1500000]

595   2, 4, 12, 16, 38, 46, 54, 66, 72, 84, 106, 130, 144, 232, 262, 312, 450, 470, 546, 554, 690, 750, 844, 1270, 1278, 1984, 2602, 3250, 3868, 5150, 6358, 7068, 7518, 7828, 8998, 12898, 17728, 21004, 24622, 31792, 34654, 139214, 176964, 178402, 187122, 232086, 331980, 374416, 403070, 516324, 872926, 904444, 1163818, 1211446 [1500000]

597   2, 8, 14, 18, 28, 70, 82, 116, 190, 196, 218, 270, 316, 382, 534, 674, 710, 1772, 2066, 2151, 2375, 3374, 3812, 6802, 7330, 8572, 12634, 13360, 14992, 65282, 71674, 86500, 111690, 119038, 137519, 165758, 216278, 319842, 356674, 379888, 457470, 459736, 490528, 729490, 931706, 1126638 [1500000]

599   3, 7, 9, 13, 17, 27, 35, 53, 65, 97, 115, 143, 327, 379, 447, 517, 545, 679, 787, 815, 823, 1627, 1715, 2303, 2317, 2577, 2683, 3453, 4377, 4909, 5887, 6439, 9193, 12539, 14667, 19085, 40217, 46269, 48993, 331817, 459935, 677727, 716277, 741427, 815357, 965537 [1500000]


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This page compiled and maintained by Wilfrid Keller. Last updated July 5, 2012.