Riesel primes of the form k•2n-1, 108 < k < 109

Overview

Automatically generated table from available Riesel primes 10⁸ < k < 10⁹.

Explanations

The colors used in the table are defined as:

 

 : k-value is reserved

 

 : k-value is not reserved

Primes table

There are 63 sequences:

k	Type	Date	max n	Nash	#	Primes for n
100596217	Low	2020-08-10	2000000	24	0
133603707	3	2020-07-12	120000	3168	41	2, 5, 12, 69, 74, 78, 156, 173, 186, 214, 238, 254, 273, 354, 413, 598, 765, 820, 862, 866, 1020, 1488, 2377, 5378, 5653, 6038, 7057, 7080, 8466, 15240, 23889, 25030, 25084, 29273, 38220, 48697, 58802, 80309, 100013, 100014, 107068
163194027	3	2021-08-09	200000	3402	55	1, 6, 9, 30, 32, 41, 62, 89, 120, 192, 245, 252, 289, 426, 437, 522, 650, 774, 825, 972, 1109, 1306, 1334, 1457, 1737, 1896, 1970, 2018, 2237, 2942, 3194, 3609, 4141, 7248, 8832, 9240, 9565, 10725, 11340, 11372, 11714, 12142, 14594, 16080, 16814, 18254, 33069, 46078, 58682, 61610, 65600, 66590, 86029, 138600, 147390
191547657	3	2020-07-10	175000	2671	38	16, 20, 25, 26, 36, 42, 44, 49, 77, 97, 106, 186, 193, 209, 274, 360, 472, 753, 1097, 1273, 1985, 2010, 2146, 3129, 3956, 4993, 5065, 5229, 10817, 13722, 14737, 20592, 36189, 92536, 103156, 120541, 121245, 173372
192335307	3	2020-07-08	50000	3773	32	6, 10, 13, 36, 37, 56, 86, 132, 148, 169, 241, 284, 680, 793, 820, 992, 1248, 2148, 2380, 2396, 3826, 4192, 4282, 5686, 7670, 7889, 9749, 13948, 16036, 23752, 25000, 44066
201926367	3	2024-05-07	270000	3049	38	8, 20, 52, 85, 89, 108, 132, 158, 172, 260, 298, 385, 645, 722, 884, 1002, 1318, 2217, 2294, 3433, 10468, 11678, 18030, 18089, 19205, 29054, 40892, 44070, 63805, 107454, 167837, 170378, 206744, 222282, 239265, 241152, 266085, 266668
209826493	Low	2006	2270000	16	2	1071303, 1140855
210209121	3	2020-04-21	50000	3211	40	1, 6, 7, 11, 17, 29, 35, 43, 69, 125, 161, 294, 503, 573, 659, 733, 746, 774, 854, 1106, 1163, 2143, 2538, 3241, 4247, 4261, 4538, 4751, 5402, 8934, 9753, 18619, 19825, 22933, 31706, 32001, 32002, 43066, 44049, 48523
314159265	315	2025-03-15	100000	3635	38	3, 8, 24, 27, 28, 44, 102, 105, 151, 160, 188, 206, 261, 325, 536, 831, 857, 1063, 1188, 1411, 1880, 2211, 2635, 2800, 4861, 5821, 7344, 7985, 9561, 11657, 12781, 14061, 40077, 40801, 42420, 52827, 69692, 97260
330073065	315	2021-08-09	200000	4395	58	19, 21, 36, 56, 80, 81, 108, 118, 124, 129, 156, 201, 211, 220, 268, 275, 281, 287, 337, 341, 349, 369, 481, 527, 529, 656, 787, 913, 1384, 1449, 1568, 1580, 1903, 2108, 2248, 2787, 3225, 3603, 5027, 5086, 5343, 5353, 6520, 7979, 10387, 11844, 15945, 21153, 27580, 29988, 45821, 47244, 50708, 131595, 138600, 156610, 175744, 177869
353442133	Low	2007-07-14	336000	31	0
388105065	315	2021-08-09	200000	3340	50	1, 6, 16, 19, 34, 54, 60, 85, 89, 111, 142, 147, 349, 381, 427, 549, 779, 1021, 1316, 1947, 1978, 2179, 2927, 3318, 4816, 4830, 4960, 9039, 9707, 11241, 12539, 13808, 14058, 14215, 23361, 24756, 27545, 32627, 34216, 37104, 50780, 72115, 73268, 73496, 101842, 111524, 113479, 133340, 138600, 168718
389152177	Low	2025-04-25	2000000	18	0
410314627	Low	2025-04-25	2000000	12	0
414322661	Low	2025-04-25	2000000	13	1	2114
432043439	Low	2025-04-25	2000000	16	0
443200949	Low	2025-04-25	2000000	16	0
460735275	31521452805	2025-04-24 (Alex_soldier)	400000	6086	99	2, 6, 9, 14, 15, 16, 28, 43, 46, 56, 60, 63, 65, 79, 86, 105, 162, 172, 178, 180, 200, 207, 226, 231, 342, 360, 391, 419, 518, 522, 634, 665, 710, 727, 764, 799, 829, 831, 980, 1016, 1018, 1053, 1079, 1196, 1486, 1663, 2057, 2177, 2289, 2338, 2417, 2468, 2531, 2811, 3177, 3215, 3248, 3268, 3584, 3589, 3943, 4094, 4772, 5216, 5366, 5548, 6284, 7866, 9525, 10331, 14005, 14365, 15478, 16149, 19530, 20305, 20848, 24029, 32894, 45056, 45444, 45505, 47796, 59060, 71645, 72351, 78523, 102930, 105396, 112405, 139136, 140393, 145056, 159760, 196511, 203335, 214002, 222828, 364244
463395913	Low	2025-04-25	2000000	18	0
482987411	Low	2025-04-25	2000000	17	0
491362811	Low	2025-04-25	2000000	14	0
493412999	Low	2025-04-25	2000000	16	0
494660219	Low	2025-04-25	2000000	15	0
519812505	315	2021-08-09	200000	2352	38	1, 4, 9, 13, 39, 60, 163, 168, 169, 228, 301, 547, 714, 717, 868, 1309, 1501, 1596, 2179, 3580, 4564, 5197, 6051, 7441, 8688, 8703, 9061, 24441, 24525, 29887, 33457, 45210, 46047, 59934, 91387, 130803, 138600, 161107
531115657	Low	2025-04-25	2000000	19	0
535224337	Low	2025-04-25	2000000	13	0
536864983	Low	2025-04-25	2000000	11	0
540196717	Low	2025-04-25	2000000	15	0
547411095	315	2021-08-09	200000	4849	77	4, 7, 15, 27, 46, 54, 77, 90, 96, 121, 151, 186, 224, 496, 508, 521, 601, 664, 856, 898, 922, 923, 958, 1056, 1137, 1827, 2004, 2183, 2400, 3189, 3816, 5200, 5560, 7344, 7842, 8485, 9208, 9210, 9457, 9682, 9762, 10180, 10360, 12330, 14766, 14979, 15272, 16696, 17380, 20921, 21750, 21888, 23632, 27964, 28189, 28275, 29507, 30934, 33352, 39935, 46112, 48184, 60414, 60921, 62754, 71555, 77074, 88515, 102171, 118264, 130177, 138600, 139435, 148140, 149128, 157681, 184851
552455201	Low	2025-04-25	2000000	20	1	25862
564510097	Low	2025-04-25	2000000	17	1	11345
567143683	Low	2025-04-25	2000000	19	1	4027
570409245	315	2020-07-21	150000	4335	49	3, 4, 14, 22, 28, 42, 48, 93, 96, 114, 127, 149, 168, 294, 407, 471, 472, 564, 619, 794, 841, 869, 1356, 1511, 1828, 2164, 3052, 3861, 3864, 4010, 4747, 7478, 8198, 10418, 11454, 12287, 13108, 16153, 16804, 18390, 18396, 21207, 26894, 30478, 51664, 105049, 127864, 143163, 143164
578625847	Low	2025-04-25	2000000	18	0
589877983	Low	2025-04-25	2000000	19	0
609937687	Low	2025-04-25	2000000	18	1	1561
651488009	Low	2025-04-25	2000000	19	2	156, 10956
660879671	Low	2025-04-25	2000000	20	1	702
663301485	315	2025-04-24	400000	5441	110	2, 3, 6, 13, 16, 18, 19, 20, 22, 24, 25, 31, 36, 43, 48, 58, 61, 104, 108, 111, 112, 126, 158, 177, 202, 212, 267, 302, 360, 364, 474, 511, 627, 696, 798, 844, 954, 975, 1049, 1316, 1328, 1364, 1608, 1681, 2001, 2108, 2312, 2413, 2613, 2725, 2936, 3001, 3188, 3415, 3523, 3581, 3768, 3997, 4040, 4678, 4746, 4824, 5812, 6269, 7256, 7790, 8486, 8489, 9234, 10005, 10226, 10242, 10708, 10866, 11259, 15086, 15414, 16467, 17725, 18055, 18462, 19112, 19274, 19462, 22490, 22950, 23781, 24259, 24457, 28603, 32004, 37999, 41648, 46398, 47596, 64056, 66438, 69219, 69864, 72865, 76490, 82758, 131238, 133352, 135864, 219504, 283108, 310281, 327696, 334362
667868189	Low	2025-04-25	2000000	20	0
673503191	Low	2025-04-25	2000000	20	0
691459721	Low	2025-04-25	2000000	15	0
697942245	3152145	2025-04-24	400000	5663	109	2, 6, 8, 10, 11, 13, 18, 19, 21, 26, 43, 46, 55, 65, 69, 79, 95, 114, 116, 118, 157, 197, 213, 229, 252, 254, 267, 274, 285, 315, 319, 321, 495, 513, 544, 726, 761, 817, 864, 940, 1083, 1104, 1125, 1390, 1496, 1584, 1837, 2128, 2302, 2363, 2480, 2570, 2635, 3356, 3444, 3530, 3544, 3546, 3580, 3615, 4139, 5499, 5658, 6248, 6554, 6738, 6892, 7522, 9866, 9972, 10459, 14195, 15073, 15158, 17525, 19197, 19561, 20310, 22795, 24049, 28625, 29377, 34253, 34858, 34918, 34937, 36402, 38265, 42660, 44827, 46943, 49419, 55967, 63569, 83813, 89305, 99298, 101247, 105927, 139049, 156477, 159379, 181529, 200875, 203135, 227785, 322681, 327686, 378553
713633533	Low	2025-04-25	2000000	20	0
725433403	Low	2025-04-25	2000000	17	1	394443
738297163	Low	2025-04-25	2000000	17	0
759833699	Low	2025-04-25	2000000	19	0
779602395	3152145	2025-04-24	400000	5511	113	4, 6, 8, 17, 20, 24, 35, 36, 41, 43, 45, 64, 92, 107, 109, 118, 121, 141, 143, 164, 204, 213, 238, 262, 288, 293, 308, 457, 473, 493, 518, 570, 639, 643, 748, 767, 1147, 1203, 1222, 1269, 1296, 1372, 1446, 1448, 1475, 1552, 1750, 1931, 1949, 2112, 2538, 2557, 2571, 2607, 2667, 2862, 3168, 3290, 3661, 4170, 5110, 5117, 5815, 5955, 6019, 6025, 6100, 6401, 6552, 6571, 6727, 7159, 7219, 7229, 7521, 7721, 8435, 9210, 11792, 12977, 14176, 14440, 17308, 18271, 20908, 25897, 30702, 30958, 34506, 42391, 47376, 64551, 66252, 72612, 76616, 81208, 84278, 100345, 102032, 129616, 132733, 156269, 159452, 160777, 166477, 193335, 270175, 274412, 324527, 333493, 334489, 374864, 380120
801584081	Low	2025-04-25	2000000	17	1	182
804003525	315	2025-04-24	400000	6100	108	2, 3, 7, 12, 17, 24, 29, 40, 42, 49, 58, 66, 68, 89, 118, 126, 152, 163, 168, 175, 178, 195, 222, 276, 282, 285, 302, 338, 346, 370, 382, 543, 590, 660, 678, 705, 713, 825, 828, 999, 1337, 1516, 1628, 1716, 1912, 1940, 2104, 2113, 2160, 2237, 2810, 2839, 3140, 3553, 3758, 3857, 4865, 4867, 4873, 5787, 6070, 6285, 6410, 6817, 7225, 7739, 7842, 10418, 10710, 11984, 12047, 12650, 12820, 13505, 15320, 15915, 16903, 17590, 18072, 18286, 19130, 19309, 19725, 25005, 25995, 26747, 37790, 44576, 45814, 50643, 61550, 93735, 94486, 113540, 154485, 156224, 169412, 183943, 186802, 196426, 198714, 214262, 216915, 266132, 332603, 336113, 342906, 368847
811064503	Low	2025-04-25	2000000	13	0
814419757	Low	2025-04-25	2000000	14	0
835596479	Low	2025-04-25	2000000	20	0
850612425	315	2024-12-25	400000	5365	104	6, 7, 8, 10, 11, 17, 20, 25, 35, 44, 57, 66, 71, 80, 84, 104, 109, 119, 120, 144, 164, 171, 176, 188, 218, 224, 225, 250, 257, 260, 269, 273, 324, 325, 360, 400, 409, 414, 453, 468, 500, 551, 619, 627, 717, 778, 786, 1071, 1084, 1271, 1287, 1296, 1336, 1349, 1450, 1599, 1687, 1765, 1898, 2355, 2369, 2920, 3209, 4189, 4598, 4634, 4931, 5237, 5813, 5851, 6409, 6475, 6608, 6806, 8793, 9814, 10649, 11025, 12050, 12636, 12654, 13294, 23950, 25304, 35537, 46316, 48793, 64345, 78208, 91844, 98819, 107606, 135696, 143231, 153594, 167265, 179716, 219429, 239205, 276435, 276757, 286026, 310719, 373657
851324377	Low	2025-04-25	2000000	17	0
853091787	3	2021-08-09	200000	2615	42	1, 9, 10, 12, 30, 49, 85, 256, 352, 421, 489, 580, 733, 820, 876, 1161, 1260, 1321, 1581, 1689, 1789, 2637, 2866, 4530, 4701, 4857, 5253, 7477, 17589, 25168, 25461, 25957, 33526, 43021, 50185, 58509, 59097, 83533, 87592, 99498, 108337, 138600
855686399	Low	2025-04-25	2000000	12	1	162836
857656417	Low	2025-04-25	2000000	18	1	4953
870667875	315	2025-04-24	400000	6481	102	8, 9, 14, 15, 22, 23, 35, 44, 50, 57, 60, 64, 67, 74, 84, 91, 92, 105, 144, 197, 199, 205, 212, 251, 278, 317, 339, 344, 359, 411, 447, 518, 627, 788, 794, 802, 820, 872, 959, 1103, 1137, 1204, 1225, 1388, 1412, 1608, 1619, 1704, 1774, 2261, 2453, 2660, 3771, 3815, 3979, 4042, 4077, 5062, 5182, 5731, 5733, 5817, 6492, 6610, 7105, 7964, 8159, 8872, 9939, 11109, 11829, 12149, 12347, 13011, 15755, 19844, 27532, 28037, 31379, 33094, 54826, 54854, 55468, 59096, 84988, 85493, 87044, 95484, 135816, 142855, 146833, 171341, 191541, 206753, 212653, 227223, 267981, 272449, 272494, 276165, 278560, 280741
873563847	3	2021-08-09	200000	2827	47	16, 18, 28, 34, 52, 66, 76, 93, 106, 121, 154, 180, 201, 321, 405, 526, 565, 1305, 1314, 1350, 1354, 1393, 2077, 3324, 4857, 5112, 6001, 7050, 9792, 9930, 11278, 12672, 17065, 23481, 24136, 24474, 25117, 32305, 39145, 49818, 54057, 55617, 62497, 91854, 111814, 135352, 138600
911111523	3	2013-10-16	7420	3406	40	3, 4, 10, 15, 20, 28, 34, 68, 78, 106, 114, 115, 150, 159, 160, 174, 191, 200, 211, 367, 474, 654, 676, 1096, 1136, 1443, 1563, 1668, 2003, 2663, 3216, 3331, 3640, 3975, 4119, 4539, 4576, 6915, 7304, 7420
918332415	3152145	2025-04-24	400000	6142	114	3, 4, 5, 9, 12, 13, 16, 17, 26, 27, 28, 36, 37, 39, 40, 41, 44, 48, 52, 65, 108, 110, 112, 113, 127, 194, 196, 201, 216, 254, 332, 343, 344, 466, 485, 550, 578, 597, 600, 701, 732, 778, 792, 806, 922, 937, 1028, 1174, 1190, 1553, 1601, 1991, 2161, 2374, 3797, 3808, 3849, 4449, 4668, 5008, 5515, 6620, 6725, 6816, 8343, 8478, 9275, 9851, 9969, 10154, 12986, 13238, 14396, 14460, 14898, 14958, 17004, 17509, 19723, 22592, 22649, 23408, 30005, 32893, 37951, 48116, 49968, 60141, 65078, 69816, 74503, 74714, 84616, 90575, 93074, 98174, 98710, 98713, 128805, 129914, 133683, 140336, 158308, 179009, 186460, 214043, 239792, 248917, 262673, 272910, 282017, 294041, 301645, 364130
919983057	3	2021-08-09	200000	2763	34	14, 20, 34, 42, 49, 64, 145, 306, 586, 826, 930, 1030, 1060, 1101, 1157, 1206, 1345, 1622, 2665, 3502, 4872, 4972, 8136, 11097, 11817, 20702, 24324, 51750, 53209, 100116, 128854, 134449, 138600, 166024

Riesel primes

Base = 2 :

Miscellaneous

Riesel prime Riesel problem 1 Riesel problem 2 Riesel problem 3 Riesel problem 4 Riesel numbers Least n (k≤12)

Tables

1-300 300-2000 2000-4000 4000-6000 6000-8000 8000-10000 104-105 105-106 106-107 107-108 108-109 109-1010 1010-∞

Categories

1-300 300-2000 2000-4000 4000-6000 6000-8000 8000-10000 104-105 105-106 106-107 107-108 108-109 109-1010 1010-∞

Others

3k 15k 2145k 2805k 0 primes 100+ primes Riesel numbers Missing ranges

Other categories

Missing ranges Low weight No Sophie Germain No twin Count 0 Constant n

Other bases

3 4 5 6 7 10 16 128 263 284 1024