Riesel primes of the form k•2n-1, k > 1010

Overview

Automatically generated table from available Riesel primes k > 10¹⁰.

Explanations

The colors used in the table are defined as:

 

 : k-value is reserved

 

 : k-value is not reserved

Primes table

There are 48 sequences:

k	Type	Date	max n	Nash	#	Primes for n
12349370355	315	2024-03-05	340000	5082	79	1, 3, 6, 9, 10, 17, 20, 21, 30, 39, 49, 51, 56, 57, 67, 77, 80, 124, 129, 131, 161, 197, 204, 229, 291, 407, 459, 499, 536, 893, 1204, 1324, 1444, 1668, 1920, 1998, 2271, 2667, 2931, 3364, 4017, 4244, 4328, 5097, 5611, 6107, 6727, 7169, 7241, 8637, 9798, 10983, 11651, 12611, 15153, 17545, 24679, 45186, 50477, 55616, 78268, 79067, 83313, 89949, 96324, 102527, 103230, 160893, 173731, 176134, 176635, 233907, 254880, 255108, 308268, 316661, 329981, 330020, 333444
13841792445	315	2023-10-05	50000	5117	74	3, 5, 24, 33, 39, 42, 46, 49, 59, 62, 74, 76, 82, 85, 96, 103, 124, 134, 165, 205, 223, 269, 309, 414, 424, 430, 498, 519, 521, 550, 556, 619, 641, 654, 900, 1050, 1062, 1068, 1144, 1218, 1243, 1309, 1741, 1902, 1984, 2110, 2163, 2419, 2430, 2596, 2693, 2946, 3091, 3223, 3302, 3676, 4241, 4724, 5209, 9133, 10600, 11641, 12391, 12474, 13099, 16771, 16879, 21432, 28679, 35451, 38605, 41825, 42363, 3322000
14059969053	3	2020-06-04	50000	1914	20	2, 11, 90, 188, 648, 1430, 2171, 2222, 2226, 3131, 3206, 4515, 4778, 19452, 21350, 21539, 32267, 36672, 37826, 45686
14962863771	3	2020-05-15	150000	2088	33	3, 22, 45, 58, 73, 75, 99, 109, 841, 1746, 1830, 2538, 3403, 4459, 5106, 5755, 7099, 9355, 10518, 17310, 21358, 21529, 24262, 37326, 38419, 42363, 73369, 82641, 85162, 85395, 89595, 140001, 140002
99064503957	3	2020-04-22	225000	3540	51	6, 16, 25, 34, 53, 58, 72, 74, 77, 121, 122, 125, 138, 149, 197, 418, 486, 658, 673, 773, 822, 913, 994, 1118, 1288, 1524, 1692, 1769, 1841, 2069, 2282, 3218, 4036, 4405, 4993, 8849, 15569, 16382, 30186, 32406, 49933, 57953, 63437, 77521, 94498, 102336, 108905, 143022, 190382, 200008, 200009
272879344275	315	2020-04-17	50000	4232	62	1, 10, 11, 14, 17, 23, 24, 26, 53, 77, 79, 83, 102, 109, 120, 122, 142, 168, 194, 228, 244, 322, 383, 413, 499, 559, 593, 601, 642, 672, 678, 839, 950, 1139, 1312, 2117, 2759, 2981, 3012, 3302, 3314, 3920, 5191, 6803, 10710, 11411, 15443, 15479, 16170, 17138, 18296, 24299, 24390, 24846, 31259, 31428, 35361, 36150, 36620, 36621, 36622, 39084
305136484659	3	2020-04-17	25000	2303	27	5, 16, 37, 47, 48, 49, 56, 75, 325, 335, 369, 599, 733, 1025, 1168, 1616, 2225, 5007, 8655, 8675, 8955, 11399, 14375, 15887, 22144, 23307, 24433
333645655005	315	2020-04-20	50000	4284	54	4, 5, 9, 15, 18, 21, 23, 26, 30, 33, 37, 40, 56, 121, 195, 197, 239, 265, 293, 296, 321, 365, 399, 465, 486, 561, 639, 873, 1175, 1259, 1320, 1451, 2115, 2415, 2578, 2609, 3029, 3397, 3935, 4706, 4958, 5543, 6338, 14390, 15611, 19507, 22645, 26680, 31381, 31737, 35547, 35548, 35549, 38121
491139668145	315	2023-10-05	50000	4904	56	3, 8, 9, 11, 15, 17, 20, 22, 30, 37, 50, 81, 84, 143, 152, 164, 174, 204, 210, 241, 313, 351, 488, 818, 957, 1151, 1920, 2019, 3419, 4021, 4601, 6037, 8064, 8593, 10577, 10611, 11095, 13449, 13740, 14507, 21283, 23807, 23950, 24535, 26541, 30060, 30540, 31279, 33432, 34847, 37374, 38391, 41733, 42358, 49859, 1700000
532898884965	315	2023-10-05	50000	4544	55	2, 4, 9, 10, 20, 35, 45, 49, 50, 59, 65, 109, 120, 149, 175, 186, 217, 232, 257, 402, 409, 517, 832, 1068, 1360, 1769, 1809, 2580, 3066, 3130, 3682, 4704, 6167, 6186, 11135, 11587, 12330, 12609, 15818, 18356, 19369, 20527, 20992, 24820, 27637, 28477, 29316, 29525, 30234, 35207, 35347, 36666, 39152, 46180, 1700000
674145058755	315	2023-10-05	50000	3718	55	23, 27, 40, 47, 75, 97, 99, 119, 129, 130, 151, 180, 271, 375, 406, 444, 520, 596, 697, 721, 916, 943, 945, 1010, 1055, 1464, 1820, 2111, 2368, 3113, 3291, 3371, 3388, 3544, 3665, 3940, 4633, 5569, 5780, 5878, 6569, 11051, 12106, 12660, 12723, 12747, 13011, 14135, 22754, 26115, 27039, 29329, 30009, 35698, 1700000
704223130785	315	2023-10-07	50000	4201	48	5, 31, 33, 69, 71, 93, 178, 181, 216, 221, 260, 269, 372, 381, 565, 569, 707, 718, 875, 885, 1196, 1321, 1356, 1412, 1428, 1542, 1991, 2239, 2790, 2937, 3020, 3561, 5131, 7505, 7520, 16627, 17568, 17612, 18828, 20477, 20695, 25727, 26460, 33389, 44179, 46261, 48522, 1700000
778965587811	3	2020-04-20	50000	3488	50	3, 19, 42, 51, 53, 61, 133, 142, 147, 209, 235, 259, 281, 313, 366, 626, 762, 1021, 1087, 1094, 1266, 1639, 1675, 2047, 2074, 2486, 2645, 3031, 3886, 4826, 5910, 6517, 7815, 9063, 9235, 11897, 15373, 17286, 18503, 18690, 25122, 31951, 32150, 36625, 36626, 36627, 36723, 39471, 45886, 46090
825823934085	315	2024-03-12	50000	4579	53	6, 9, 11, 12, 19, 34, 39, 42, 48, 55, 68, 70, 92, 111, 129, 155, 174, 214, 340, 342, 381, 415, 468, 497, 621, 652, 785, 882, 935, 1821, 1994, 2236, 2541, 2544, 2936, 5054, 5855, 6678, 11960, 12932, 13028, 14152, 17604, 21524, 21820, 22832, 25918, 26864, 42570, 44940, 47531, 49584, 1700000
1015926825945	315	2024-03-12	50000	4545	55	16, 17, 37, 66, 71, 85, 91, 106, 109, 142, 148, 161, 209, 253, 301, 320, 340, 360, 422, 432, 446, 513, 516, 573, 745, 869, 897, 1015, 1079, 1118, 1150, 1805, 1922, 1997, 2053, 2347, 2491, 2513, 2681, 4145, 5503, 6538, 7265, 8368, 8745, 10759, 13247, 14940, 18745, 20509, 20897, 21073, 21441, 43941, 1700000
1128330746865	315	2020-04-23	75000	3878	51	7, 15, 35, 45, 60, 73, 79, 95, 104, 106, 127, 133, 139, 168, 284, 315, 367, 396, 441, 451, 466, 611, 848, 1281, 1785, 3186, 3600, 3691, 3697, 5767, 5891, 6931, 7343, 8106, 8221, 10383, 11740, 11973, 12479, 14155, 23751, 24226, 25321, 36478, 41436, 53713, 56074, 66439, 66440, 66441, 69547
1217242730955	315	2024-04-13	50000	4231	48	3, 19, 26, 27, 36, 39, 49, 52, 61, 95, 111, 127, 168, 188, 201, 211, 269, 299, 361, 380, 391, 591, 620, 736, 801, 833, 903, 975, 1563, 1637, 1831, 2008, 3207, 3620, 6035, 6716, 8049, 9076, 17056, 17250, 18981, 20775, 22178, 24256, 24842, 27998, 37970, 1700000
1225310303325	315	2024-04-21	50000	4457	60	15, 20, 21, 32, 42, 48, 62, 68, 72, 88, 103, 116, 119, 126, 153, 156, 159, 170, 227, 269, 348, 378, 433, 450, 453, 535, 577, 589, 819, 945, 1060, 1365, 1460, 1638, 1780, 2209, 2222, 4239, 5768, 7051, 7772, 7850, 8589, 8672, 10031, 10658, 11016, 12475, 15025, 15280, 16406, 24317, 27455, 28431, 28440, 43423, 45307, 46791, 47088, 1700000
1238558992335	315	2024-04-21	50000	4585	50	1, 14, 15, 31, 38, 53, 55, 88, 117, 122, 260, 273, 321, 358, 433, 602, 608, 1153, 1460, 1477, 1974, 2154, 2253, 2829, 3113, 3451, 4185, 4668, 4827, 4863, 4900, 5249, 5678, 6992, 7265, 7472, 10720, 10837, 11420, 13593, 16779, 19049, 20540, 23604, 24233, 25903, 27381, 27744, 29781, 1700000
1243997962515	315	2024-04-28	50000	5414	51	7, 34, 38, 44, 53, 99, 139, 144, 189, 204, 235, 260, 271, 279, 326, 339, 401, 441, 446, 479, 806, 947, 985, 1151, 1173, 1296, 1729, 2556, 2861, 3992, 4139, 5809, 6911, 9248, 9501, 10065, 10161, 16861, 17899, 17994, 18216, 18858, 19301, 19711, 23331, 24305, 26815, 31130, 33057, 42269, 1700000
1274229841695	315	2024-05-31	50000	4900	58	1, 16, 29, 55, 59, 62, 78, 83, 126, 161, 163, 173, 209, 269, 340, 358, 424, 425, 520, 696, 792, 892, 901, 1115, 1300, 1332, 1378, 1380, 1404, 1430, 1602, 1648, 1814, 2771, 3011, 4170, 4285, 4488, 4614, 4625, 5728, 5772, 7445, 7579, 8474, 10315, 11402, 12556, 14721, 16585, 18213, 29963, 34341, 34999, 40099, 46428, 46650, 1700000
1345252631415	315	2024-08-11	50000	3980	59	2, 24, 27, 42, 48, 49, 54, 57, 65, 88, 96, 114, 200, 224, 277, 303, 312, 371, 390, 391, 450, 584, 654, 681, 708, 733, 800, 835, 1052, 1130, 1271, 1434, 1520, 1782, 2238, 2292, 2295, 3231, 4764, 5436, 5588, 5810, 6183, 6234, 6314, 7037, 9268, 10484, 17247, 19119, 19452, 23154, 23456, 23713, 29253, 33704, 41239, 42581, 1700000
1815615642825	315	2020-04-23	50000	4690	57	3, 20, 36, 55, 68, 84, 94, 96, 102, 112, 165, 196, 207, 287, 373, 546, 727, 739, 745, 819, 823, 906, 1043, 1102, 1198, 1245, 1260, 1465, 1589, 1649, 2398, 2599, 3512, 4330, 4427, 4836, 5076, 6205, 6532, 7314, 7633, 9179, 9316, 19944, 21899, 25228, 25977, 29069, 29325, 43749, 44044, 44045, 44046, 45120, 46065, 48905, 49052
2618163402417	3	2020-06-18	100000	3592	51	1, 5, 14, 26, 37, 48, 98, 101, 144, 218, 233, 261, 265, 284, 326, 333, 545, 613, 973, 1140, 1340, 1412, 1500, 1840, 2028, 2042, 2328, 2420, 2765, 3240, 3568, 3846, 3968, 4253, 4297, 6108, 6374, 7261, 7398, 9780, 9824, 10657, 13201, 16758, 17525, 24841, 27498, 31793, 41762, 1290000, 1290001
4404139952163	3	2024-07-14	100000	3032	36	2, 18, 46, 50, 52, 60, 67, 83, 138, 150, 192, 295, 306, 359, 880, 1298, 1830, 1842, 1903, 2066, 2822, 3652, 5928, 7722, 7727, 9518, 20915, 26980, 31683, 37575, 55467, 60615, 67002, 69720, 79287, 92367
6546453120645	315	2013-10-16	9143	3065	27	2, 3, 8, 11, 32, 50, 59, 72, 75, 108, 120, 165, 227, 245, 288, 1169, 1173, 1221, 2123, 2318, 2718, 4676, 5138, 5498, 8253, 8516, 9143
8506028064897	3	2020-04-21	50000	3666	39	4, 12, 13, 22, 24, 32, 68, 73, 181, 285, 334, 350, 368, 416, 424, 496, 536, 662, 717, 854, 981, 1108, 1181, 1262, 1297, 1504, 2008, 2044, 4140, 4766, 6112, 6344, 7200, 9349, 11284, 22414, 27100, 33508, 45276
8964472847055	315	2023-11-09	250000	4988	82	3, 16, 20, 32, 33, 43, 48, 49, 51, 56, 62, 68, 71, 110, 154, 189, 196, 212, 262, 268, 278, 423, 573, 662, 696, 909, 1035, 1065, 1123, 1189, 1221, 1339, 1724, 1903, 2017, 2143, 2377, 2485, 2703, 2851, 3282, 3690, 3706, 4074, 4713, 4825, 5104, 5389, 5478, 5595, 5685, 5686, 5688, 6181, 6974, 7643, 8805, 10090, 10530, 12322, 12556, 16255, 19530, 20569, 26502, 28183, 29234, 31204, 35451, 37127, 39289, 40375, 45510, 47968, 49534, 52665, 100429, 124076, 222333, 222334, 226812, 230056
10030004436315	315	2023-11-13	250000	4571	72	22, 26, 29, 83, 95, 136, 182, 206, 209, 218, 268, 272, 377, 422, 589, 615, 1065, 1239, 1378, 1482, 1576, 1700, 1753, 1860, 1868, 2324, 2772, 3770, 3809, 3886, 4464, 8535, 9614, 15522, 16570, 17195, 18245, 18622, 19025, 19590, 21814, 22078, 23082, 26795, 27567, 29516, 35368, 40016, 53165, 56958, 67246, 75026, 76574, 89593, 93803, 97799, 102653, 104066, 112884, 118619, 120413, 121706, 141588, 143078, 149612, 154297, 164728, 170534, 185809, 188483, 222333, 222334
10957126745325	315	2024-03-14	250000	3580	42	2, 6, 15, 23, 28, 123, 132, 282, 316, 348, 561, 562, 578, 642, 797, 940, 1294, 1371, 1414, 2534, 3042, 4427, 7014, 8326, 21583, 22602, 28147, 28641, 44241, 48717, 51022, 55551, 57483, 57525, 91118, 103966, 144495, 159402, 178133, 197890, 222333, 222334
14279340881715	315	2024-03-18	250000	4980	93	1, 3, 4, 9, 19, 26, 28, 31, 35, 42, 49, 59, 81, 90, 96, 99, 108, 111, 119, 133, 182, 209, 224, 266, 305, 348, 353, 391, 455, 466, 479, 499, 500, 531, 550, 665, 759, 783, 794, 959, 965, 1021, 1183, 1300, 1360, 1431, 1548, 1594, 1959, 1968, 2112, 2165, 2416, 3051, 3403, 3736, 3919, 3951, 4776, 4815, 5909, 6109, 9710, 11189, 11423, 11430, 13991, 14032, 15354, 18816, 19508, 20156, 20633, 25103, 30973, 31420, 33208, 37234, 54542, 62531, 64870, 74213, 77500, 78311, 110520, 115812, 122028, 146308, 147463, 152355, 183208, 222333, 249891
18543637900515	315	2020-12-10	675000	4062	53	1, 4, 14, 17, 22, 35, 47, 124, 134, 135, 197, 297, 322, 468, 565, 780, 826, 883, 1025, 1055, 1242, 1457, 2605, 3218, 3413, 3764, 3962, 4814, 8300, 11023, 12727, 20301, 21254, 44033, 45398, 50756, 51650, 53527, 67307, 80987, 82188, 121265, 121463, 148590, 224963, 272103, 296572, 355387, 489308, 496217, 561170, 666667, 666668
20690306380455	315	2024-03-20	250000	3853	71	3, 8, 18, 20, 45, 58, 65, 75, 101, 129, 234, 264, 268, 372, 464, 469, 533, 715, 721, 752, 840, 915, 1004, 1189, 1513, 1530, 1603, 1678, 1772, 1773, 2010, 2523, 3082, 3934, 4004, 4278, 4843, 5635, 5643, 7485, 7808, 10114, 10781, 12208, 13553, 14249, 15595, 16209, 17720, 20898, 24379, 28041, 32005, 35905, 39253, 41384, 49605, 49656, 53163, 54764, 89632, 96635, 98852, 111545, 158046, 184254, 191790, 217525, 222332, 222333, 232772
21480284945595	315	2024-05-21	350000	4076	61	11, 13, 17, 37, 38, 40, 61, 73, 84, 100, 118, 133, 168, 205, 233, 247, 267, 344, 353, 356, 446, 476, 844, 951, 986, 1121, 1366, 1418, 2014, 3328, 3583, 3640, 5028, 6376, 9151, 10047, 12644, 14876, 17574, 19338, 19630, 23618, 31911, 66347, 66950, 69900, 74354, 86263, 95507, 118596, 131396, 138230, 150920, 180221, 255184, 264245, 264901, 293574, 293791, 333443, 333444
28387857090561	3	2020-04-22	75000	2747	27	3, 6, 29, 51, 93, 155, 163, 322, 391, 418, 623, 639, 893, 1259, 1714, 1963, 2611, 4605, 8535, 9449, 18375, 23683, 27467, 30297, 33501, 38243, 40781
47356235323005	315	2024-10-11 Alexander Jones	250000	3947	59	21, 32, 37, 45, 51, 64, 75, 84, 119, 127, 195, 306, 370, 442, 467, 522, 525, 625, 951, 984, 1082, 1175, 1292, 1420, 1500, 2449, 3751, 4419, 4803, 5667, 6633, 6752, 7619, 8299, 8320, 9227, 11044, 15100, 16924, 18073, 21151, 24169, 25091, 34069, 36635, 42080, 43207, 54391, 80065, 81932, 85533, 101739, 126661, 139420, 176375, 197099, 231552, 333443, 333444
1665624349782373	Low	2024-03-10 Alexander Jones	10000000	1	0
5110664609396115	315	2020-07-12	50000	3540	39	64, 74, 86, 126, 129, 143, 144, 279, 398, 571, 651, 660, 806, 894, 1025, 2174, 2303, 2640, 3050, 4451, 5784, 6038, 7078, 9448, 10345, 12506, 12743, 14368, 16515, 17249, 18558, 21208, 32495, 34944, 34945, 34946, 35406, 35688, 44715
10075614324682349	Low	2006-08-10	1000000	3	0
12782924755172441	Low	2006-08-10	1000000	4	0
15335906269828439	315Low	2006-08-10	1000000	2	0
23009979551311559	315Low	2006-08-10 (Alex_soldier)	1000000	1	0
30729699810869707	Low	2006-08-10	1000000	2	0
41360993926068041	Low	2006-08-10	1000000	1	0
49050506465852977	3Low	2006-08-10	1000000	2	0
49791527843569597	Low	2006-08-10	1000000	1	0
50670759245200691	Low	2006-08-10	1000000	2	0
72292129717621199	315Low	2006-08-10	1000000	2	0

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 10 16 128 263 284