Summary of Riesel-Payam-numbers

Started: 2008-01-29     Last update: 2014-04-08

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