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

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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