Summary of Riesel-Payam-numbers

Collection of k*2n-1 for k=y*M(n) with
M(n): 3*5*11*13*19*29*37*53*59*61*67*83*101*107*131 (so M(13)=3*5*11*13)

y M(n) Reserved
Last editor
Last Update #n Nash weight max n/ range tested k·2n-1 is prime for the following n's
3982100443
31*128454853
37 K.Bonath 2011-11-10 63 7122 10k (k=174137710313940945)
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 17, 24, 29, 31, 40, 62, 86, 113, 137, 160, 164, 322, 324, 347, 357, 386, 427, 458, 557, 606, 697, 700, 850, 990, 1084, 1337, 1398, 1513, 1587, 1659, 1740, 1917, 2250, 2287, 2510, 2845, 3099, 3271, 3838, 4383, 4550, 4669, 4856, 6610, 6621, 6690, 7096, 7425, 7564, 8669, 9629, 9643
1029369515711
17*97*1259*495821
53 K.Bonath 2008-08-31 114 7651 20k (k=2385765706875425848545)
1, 3, 6, 7, 14, 15, 18, 22, 27, 28, 29, 36, 38, 39, 43, 62, 64, 65, 72, 84, 90, 94, 105, 109, 111, 130, 145, 156, 182, 195, 234, 235, 240, 264, 319, 346, 402, 426, 435, 460, 473, 482, 514, 517, 572, 575, 580, 584, 665, 670, 765, 816, 871, 876, 882, 932, 1047, 1103, 1132, 1144, 1155, 1254, 1427, 1445, 1506, 1518, 1626, 1756, 1828, 1936, 1945, 2042, 2174, 2522, 2589, 2875, 3033, 3095, 3238, 3871, 3891, 4008, 4294, 4341, 4484, 4592, 4630, 4716, 4726, 4744, 5414, 5657, 6426, 6454, 6555, 6707, 6862, 8446, 8702, 8895, 9327, 9646, 10296, 11024, 11329, 11594, 11611, 11848, 12506, 12569, 13463, 15302, 17661, 18215
1212241451853
3*31*43*303136147
53 K.Bonath 2008-11-25 110 7898 20k (k=2809607279156828614035)
1, 8, 14, 15, 18, 21, 22, 23, 24, 36, 45, 46, 50, 51, 53, 56, 67, 70, 72, 73, 104, 106, 110, 113, 116, 125, 138, 142, 182, 197, 198, 208, 209, 221, 231, 254, 257, 267, 268, 269, 293, 296, 300, 311, 340, 342, 353, 374, 382, 410, 411, 415, 559, 573, 627, 712, 763, 856, 915, 970, 985, 1061, 1094, 1119, 1145, 1203, 1260, 1370, 1441, 1530, 1598, 1633, 1721, 1789, 2058, 2385, 2403, 2410, 2731, 2770, 3001, 3183, 3260, 4123, 4131, 4730, 4794, 5109, 5551, 5580, 6135, 6222, 6249, 6308, 6399, 6632, 6966, 6973, 7032, 8256, 8422, 8551, 8968, 9203, 9469, 9808, 10447, 10865, 14829, 14912
1636889512137
3*11^2*17*193*1374379
53 R.Smith 2007-12-20 (111) 20k (...) 7724 (...)
169160174245
5*17*1990119697
53 R.Smith (115) 20k (...) 8191 (...)
3053018310957
3^2*34687*9779579
53 R.Smith 2007-12-20 (99) 10k (...)
3058988541335
5*829*737994823
53 R.Smith 2007-12-20 (99) 10k (...)
3459395798073
3^3*349*5437*67523
53 R.Smith 2007-12-23 (99) 10k (...)
3680068181457
3*2113*580543963
53 R.Smith 2007-12-23 (105) 10k (...) 7836 (...)
3726133257251
631*5905124021
53 R.Smith 2007-12-23 (99) 10k (...)
3916647606303
3^2*23*71*271*397*2477
53 R.Smith 2007-12-23 (99) 10k (...)
3995993454669
3^2*4861*91339081
53 R.Smith 2007-12-23 (100) 10k (...) 9870
196866927943
7^2*71*56587217
59 R.Smith (117) 20k (...) 6617 (...)
543298716599
7349*73928251
59 R.Smith (116) 20k (...) 5768 (...)
660288556697
7*11*4139*2071799
59 R.Smith (118) 20k (...) 6167 (...)
189018321331
7*108023*249971
61 R.Smith (126) 42k (...) 7788 (...)
638621868573
3^3*13*17*107025619
61 P.Carmody, Sargassian 139 30k 164k-233k 2, 5, 14, 17, 21, 25, 29, 32, 33, 34, 35, 36, 37, 41, 43, 45, 47, 51, 62, 65, 75, 77, 85, 96, 128, 159, 163, 174, 192, 238, 240, 241, 249, 261, 270, 271, 272, 294, 328, 342, 365, 444, 454, 484, 485, 500, 505, 517, 540, 553, 574, 595, 623, 688, 802, 827, 850, 874, 1033, 1148, 1220, 1243, 1313, 1347, 1453, 1485, 1496, 1579, 1716, 1936, 1960, 2042, 2045, 2126, 2235, 2264, 2274, 2298, 2931, 2938, 3051, 3177, 3318, 3542, 3854, 3969, 4253, 4660, 4719, 5225, 5499, 5912, 6327, 7086, 7153, 7284, 7336, 7504, 7647, 8110, 8213, 8543, 8599, 8943, 9445, 9812, 10064, 10199, 10464, 11019, 12467, 12786, 13146, 13631, 13714, 14206, 14900, 14905, 15064, 16490, 17087, 19123, 19447, 19540, 20170, 21598, 24518, 24675, 25639, 25877, 27039, 28480, 29268, 29866 (...) 164463, 169447, 195317, 202473, 233805
1746492605077
11*9181*17293547
61 R.Smith 2008-01-27 (102) 10k (...) 8014 (...)
1907954478839
19*433*231913757
61 R.Smith 2008-01-27 (99) 10k (...)
1965188880093
3*1399*3691*126859
61 R.Smith 2008-01-27 (99) 10k (...)
2002078724075
5^2*19*20399*206623
61 R.Smith 2008-01-27 (99) 10k (...)
2183225888567
137*1223*13030217
61 R.Smith 2008-01-27 (99) 10k (...)
2256305169303
3^2*6317*39686651
61 R.Smith 2008-01-27 (100) 10k (...) 9821
2319747344799
3*773249114933
61 R.Smith 2008-01-27 (102) 10k (...) 9595 (...)
2342836014713
2342836014713
61 R.Smith 2008-01-27 (122) 19k (...) 6520 (...) 19093
2421745267415
5*37*79*101*1640621
61 R.Smith 2008-01-27 (100) 10k (...) 9769
2476995416951
11*225181401541
61 R.Smith 2008-01-27 (100) 10k (...) 9951
2502262772385
3*5*47*3549308897
61 R.Smith 2008-01-27 (100) 10k (...) 9732
2781948761147
73*17609*2164171
61 R.Smith 2008-01-27 (100) 10k (...) 9271
29979474409
191*6217*25247
67 K.Bonath 2008-01-29 129 8171 92k 3, 6, 7, 9, 10, 15, 20, 21, 22, 23, 24, 27, 30, 36, 37, 39, 44, 46, 47, 49, 64, 73, 82, 87, 91, 100, 117, 125, 156, 175, 180, 183, 193, 197, 221, 236, 247, 267, 286, 288, 301, 306, 319, 320, 387, 430, 507, 537, 539, 544, 607, 614, 625, 658, 678, 686, 701, 717, 795, 818, 819, 860, 910, 929, 969, 1004, 1050, 1086, 1160, 1170, 1274, 1294, 1301, 1324, 1451, 1478, 1561, 1626, 1877, 1890, 2057, 2132, 2159, 2355, 2500, 2717, 2939, 2971, 3375, 3435, 3529, 3597, 3721, 4011, 4054, 4108, 4712, 5566, 5661, 5968, 8388, 9635, 9660, 10720, 11560, 12292, 12315, 13740, 13786, 15346, 17479, 20018, 26172, 27748, 36502, 38609, 39103, 40133, 44248, 47148, 52908, 57588, 58085, 59633, 59660, 60955, 69284, 70868, 74659
1416492589021
553549*2558929
67 R.Smith 2008-01-19 (100) 10k (...) 8013
1533927640019
1533927640019
67 R.Smith 2008-01-19 (100) 10k (...) 9972
1774116412215
3*5*7*55217*305999
67 R.Smith 2008-01-19 (99) 10k (...)
1842913644031
17*19*467*12217591
67 R.Smith 2008-01-19 (100) 10k (...) 9937
1876131394595
5*43*349*25003417
67 R.Smith 2008-01-19 (101) 10k (...) 8443 (...)
1970620879533
3*31517*20841883
67 R.Smith 2008-01-19 (100) 10k (...) 9500
46147358765115
3^3*5*17*2029*9910193
67 E.Trice 2011-12-25 146 8252 125k (k=25790513410853719562625473025)
16, 21, 26, 28, 32, 33, 36, 37, 38, 39, 45, 54, 56, 57, 59, 60, 67, 68, 76, 86, 101, 106, 134, 135, 138, 146, 155, 157, 170, 188, 190, 209, 220, 224, 243, 255, 258, 276, 351, 353, 381, 392, 395, 416, 425, 502, 511, 564, 600, 646, 657, 671, 691, 720, 741, 790, 793, 854, 861, 869, 887, 895, 922, 926, 969, 997, 998, 1037, 1049, 1128, 1294, 1387, 1398, 1478, 1562, 1606, 1663, 1745, 1758, 2208, 2277, 2331, 2386, 2391, 2431, 2535, 2760, 2988, 3053, 3454, 3693, 4047, 4357, 4486, 4689, 5918, 5967, 6539, 6737, 6751, 6823, 6825, 6860, 7427, 7512, 7676, 8203, 8211, 8408, 8713, 10256, 10337, 10976, 11494, 12295, 14691, 14902, 16110, 16845, 17473, 19418, 24014, 25584, 29989, 30672, 31307, 34951, 38689, 38843, 41032, 41763, 45833, 53454, 54576, 62344, 73453, 74468, 75052, 77089, 81964, 83305, 95724, 105116, 112777, 116080, 120073
2173328761571
11*107*42197*43759
83 R.Smith (115) 19656 (...) 9653 (...)
3595866123809
23*156342005383
83 R.Smith (117) 19656 (...) 9210 (...)
38367867040615
5*7*331*3311857319
83 R.Smith 2008-01-15 (103) 10k (...) 6920 (...)
61976585459877
3*11*1878078347269
83 R.Smith 2008-01-15 (102) 10k (...) 8600 (...)
63404089076241
3^2*191*461*80009299
83 R.Smith 2008-01-15 (101) 10k (...) 8159 (...)
159929185703
7*17*29*137*338269
101 R.Smith (114) 20k (...) 8646 (...)
336458226173
43*811*9648101
107 R.Smith (119) 22k (...) 9642 (...)
101532422035567
71*1879*27397*27779
107 R.Smith 2008-01-06 (102) 10k (...) 9253 (...)
408251547745613
11*13*6607*432103213
107 R.Smith 2008-01-06 (105) 10k (...) 8230 (...)
5071829957884753
7*409*1771508892031
107 R.Smith 2008-01-06 (101) 10k (...) 8230 (...)
5731587575971897
1979*37307*77631649
107 R.Smith 2008-01-06 (99) 10k (...)
5858856352434629
47*1747*71354618281
107 R.Smith 2008-01-06 (103) 10k (...) 9050 (...)
2395773354147
3*383*2085094303
163 R.Smith 2007-07-03 149 9275 171379 14, 16, 22, 29, 37, 42, 43, 45, 50, 52, 55, 73, 87, 92, 100, 102, 103, 108, 113, 119, 126, 129, 141, 145, 146, 147, 160, 161, 169, 224, 256, 269, 275, 290, 299, 307, 314, 331, 334, 384, 388, 389, 397, 443, 462, 478, 523, 544, 562, 577, 661, 664, 699, 731, 1003, 1014, 1020, 1025, 1027, 1065, 1125, 1214, 1291, 1315, 1444, 1696, 1775, 1809, 1901, 1994, 2233, 2288, 2714, 2727, 3032, 3263, 3463, 3686, 3864, 4195, 5256, 5526, 6489, 6621, 6791, 6958, 7404, 7899, 8467, 8663, 8680, 8811, 9000, 9121, 9651, 9775, 10373, 11478, 12628, 13521, 13523, 13831, 13869, 14422, 14434, 15043, 15188, 17266, 17285, 17907, 17968, 18126, 18649, 19114, 19184, 19763, 19764, 20486, 21811, 22635, 24919, 26920, 29668, 32363, 32709, 33257, 33913, 39945, 39991, 40039, 41858, 41910, 47922, 50222, 52424, 64852, 67909, 70081, 80286, 82795, 86861, 90129, 101060, 102124, 106385, 113784, 124805, 127436, 164357
22544089918041953
17*107*4643*88397*30197
131 R.Smith, T.Ritschel, et al. 2014-03-25 216 8818 880k (k=1480472640274704456611717878515654164205)
1, 2, 11, 14, 16, 36, 41, 52, 53, 64, 65, 73, 75, 80, 91, 124, 131, 140, 156, 158, 166, 170, 189, 194, 223, 224, 233, 240, 250, 275, 284, 288, 354, 374, 405, 478, 486, 489, 498, 500, 521, 527, 556, 562, 591, 596, 623, 642, 643, 650, 708, 802, 839, 850, 867, 883, 960, 985, 1003, 1070, 1108, 1173, 1207, 1238, 1276, 1322, 1361, 1374, 1375, 1509, 1570, 1592, 1636, 1717, 1720, 1800, 1808, 1999, 2150, 2251, 2352, 2373, 2550, 2576, 2596, 2692, 2697, 2791, 2956, 3076, 3178, 3325, 3590, 4221, 4327, 4344, 4385, 4505, 4585, 4913, 5217, 5599, 6478, 6864, 7089, 7106, 8140, 8382, 8528, 8784, 8787, 9399, 11069, 11311, 11853, 14292, 15198, 15320, 15825, 15999, 17570, 17840, 17887, 17935, 18401, 20262, 20460, 20503, 22568, 22887, 25002, 26252, 26523, 27251, 28233, 29803, 30173, 31212, 31424, 32583, 33696, 36106, 36320, 40172, 42457, 44900, 46170, 46787, 47920, 49784, 53246, 55579, 59638, 60260, 64574, 67190, 67470, 71221, 73142, 77776, 80678, 84684, 87557, 96045, 102231, 102651, 104202, 104655, 111235, 111239, 118689, 119254, 129630, 134337, 134490, 141805, 146149, 159874, 163330, 168072, 174712, 177119, 177684, 190958, 193804, 197942, 210616, 226559, 227776, 229069, 245288, 255530, 294807, 318934, 334623, 334645, 363020, 376732, 403709, 414907, 449150, 472040, 479697, 496187, 498496, 517692, 531133, 549598, 587833, 608207, 608462, 639888, 716611, 788439, (...) 834442, 1025897