Riesel primes of the form k•2n-1, 107 < k < 108

Overview

Automatically generated table from available Riesel primes 10⁷ < k < 10⁸.

Explanations

The colors used in the table are defined as:

 

 : k-value is reserved

 

 : k-value is not reserved

Primes table

There are 38 sequences:

k	Type	Date	max n	Nash	#	Primes for n
10013593	Low	2021-06-23	1000000	40	1	3847
10020451		2013-10-02	250000	2403	42	1, 3, 17, 19, 25, 29, 33, 35, 43, 63, 73, 145, 197, 305, 375, 741, 773, 931, 1223, 1603, 1779, 2239, 2401, 3161, 3181, 5653, 6229, 6823, 7239, 7301, 8341, 8867, 18161, 19023, 19083, 23681, 42327, 43011, 47169, 107295, 180235, 233761
10108837	Low	2021-06-23	1000000	54	1	33657
10247561	Low	2021-06-23	1000000	38	1	730
10284899	Low	2021-06-23	1000000	27	2	868, 2596
10296007	Low	2007-09-18	100000	55	1	24305
10346561	Low	2021-06-23	1000000	46	1	32714
10453199	Low	2011-12-06 Alexander Jones	2500000	28	0
10463923	Low	2015-04-28	1000000	34	0
10544249	Low	2013-10-17	1000000	51	1	145672
10671431	Low	2013-10-09	1000000	34	0
10813783	Low	2024-02-06 Alexander Jones	2000000	34	0
12305981	Low	2022-04-25	1000000	44	1	130
12695159	Low	2007-07-14	100000	31	0
13236795	31521452805	2022-07-03	1400000	6509	113	1, 4, 6, 8, 11, 12, 28, 32, 42, 44, 48, 55, 59, 61, 64, 79, 80, 81, 84, 118, 129, 153, 166, 183, 184, 192, 204, 222, 224, 226, 263, 407, 408, 484, 973, 1105, 1205, 1285, 1472, 1530, 1724, 1753, 1776, 2005, 2141, 2358, 2417, 2429, 2480, 3400, 3420, 3801, 4396, 5198, 6997, 8194, 8987, 10758, 10935, 11170, 11341, 11378, 11933, 12523, 14468, 15980, 16428, 16747, 17530, 19418, 19974, 21425, 22907, 28755, 29461, 31162, 31925, 34461, 55656, 61030, 65173, 67959, 75807, 78515, 84900, 84958, 88075, 104635, 115637, 117359, 167188, 199020, 199516, 215582, 233152, 240236, 258893, 259747, 266093, 267313, 314563, 485854, 512891, 559033, 600493, 609210, 835133, 900284, 1051978, 1066721, 1067293, 1176214, 1196191
14549535	31521452805	2021-04-10	500000	6416	120	1, 3, 4, 5, 6, 13, 15, 17, 19, 28, 32, 42, 44, 48, 52, 61, 77, 99, 111, 115, 129, 130, 143, 162, 167, 183, 216, 290, 317, 407, 421, 431, 445, 484, 544, 603, 623, 766, 834, 856, 876, 904, 914, 968, 1043, 1075, 1202, 1225, 1309, 1441, 1478, 1592, 1664, 1738, 2063, 2097, 2127, 2244, 2855, 2908, 2975, 3181, 3570, 3687, 3725, 4272, 4393, 4561, 4577, 4831, 5014, 5020, 5060, 5816, 6742, 7007, 7143, 7223, 7912, 8377, 9470, 9506, 9558, 12598, 13851, 15163, 16899, 21519, 28108, 30999, 34538, 37149, 38742, 39156, 40162, 41670, 43727, 55755, 58982, 60745, 61128, 73661, 81590, 103730, 107088, 127447, 149070, 160953, 161852, 180548, 199042, 204177, 244846, 284790, 290565, 376607, 390393, 430198, 446171, 453217
16545165	315	2009-05-19	10000	5091	61	4, 11, 16, 17, 18, 22, 39, 42, 43, 44, 51, 62, 64, 71, 78, 81, 83, 88, 112, 117, 134, 169, 184, 194, 199, 234, 410, 468, 580, 658, 848, 880, 930, 968, 1091, 1096, 1131, 1361, 1839, 1850, 1872, 2076, 2547, 2951, 2982, 3071, 3243, 3382, 3864, 3919, 3998, 5094, 5256, 5458, 5570, 5680, 5967, 7009, 8551, 9341, 9418
17179515	315	2020-07-01	100000	4505	77	2, 3, 4, 5, 6, 7, 8, 12, 15, 17, 21, 28, 31, 37, 48, 64, 79, 116, 118, 163, 166, 206, 209, 229, 233, 242, 255, 276, 292, 344, 387, 432, 444, 523, 636, 761, 802, 1246, 1256, 1352, 1464, 1917, 2406, 2527, 2551, 2689, 2778, 3238, 3404, 3506, 4021, 4767, 5047, 5264, 5708, 7741, 7999, 8645, 9089, 9735, 10125, 12097, 12869, 13524, 13532, 15032, 18329, 20168, 23455, 23462, 32545, 43725, 49592, 53428, 54584, 86853, 98604
17643045	315	2020-04-22	25000	4562	53	3, 6, 11, 18, 27, 45, 47, 56, 101, 127, 161, 203, 224, 305, 577, 592, 784, 831, 882, 1217, 1261, 1418, 1463, 1667, 1896, 2184, 2584, 2897, 2931, 3030, 3523, 3668, 4404, 4458, 5234, 5394, 5738, 5922, 6825, 7016, 7297, 8851, 9240, 9403, 10000, 10933, 13107, 13728, 15877, 16997, 20796, 21395, 23834
19009421	Low	2007-07-14	100000	69	0
19009979	Low	2007-07-14	332000	62	0
19370947	Low	2006	2270000	17	1	25
20020913		2020-08-19 Viliam Furik	500000	1402	27	12, 14, 22, 62, 72, 76, 78, 88, 94, 112, 120, 204, 462, 1214, 1798, 2022, 3256, 6406, 8548, 18088, 62416, 111300, 162118, 230406, 240084, 316934, 862692
21195711	3	2020-07-19	150000	2182	34	13, 62, 75, 78, 109, 189, 293, 341, 506, 698, 770, 895, 1171, 1182, 1299, 1459, 1509, 1710, 4167, 6350, 7518, 8203, 16287, 16603, 17107, 23693, 26051, 27087, 38317, 105498, 131990, 136941, 143630, 143631
28077667	Low	2007-07-14	287000	80	2	79305, 92145
28967085	315	2021-08-09	200000	4742	74	2, 3, 5, 20, 42, 47, 56, 57, 74, 77, 91, 116, 119, 145, 170, 183, 187, 189, 326, 335, 384, 399, 426, 433, 571, 601, 684, 896, 903, 1105, 1866, 2107, 2601, 2631, 2847, 3613, 4020, 4067, 4314, 4321, 5310, 7542, 8089, 9390, 9592, 10470, 15649, 19830, 21783, 22566, 28302, 28826, 40496, 41084, 47605, 49003, 49562, 49753, 52110, 56807, 56980, 61699, 64421, 75117, 77712, 79147, 94555, 96216, 104635, 108139, 124021, 133641, 138600, 140700
29603683	Low	2013-10-16	1000000	31	2	131963, 219803
32537227	Low	2005	1250000	65	0
36231101	Low	2021-06-23	1000000	49	2	34482, 469002
37616317	Low	2021-06-23	1000000	37	0
40835007	3	2021-08-09	200000	2944	40	13, 24, 25, 40, 73, 105, 117, 141, 145, 201, 250, 333, 361, 445, 610, 753, 817, 1601, 1945, 2442, 5601, 5820, 11265, 11433, 13480, 20034, 21253, 21637, 25073, 46825, 48177, 55104, 66992, 101770, 105769, 114570, 138600, 160965, 174600, 181089
59910449	Low	2006	2270000	15	1	92
65581091	Low	2017-12-26	1500000	22	0
68882385	31521452805	2023-01-10	500000	6231	98	5, 6, 11, 12, 14, 18, 20, 21, 23, 27, 30, 38, 40, 52, 58, 70, 100, 102, 110, 111, 140, 148, 170, 191, 200, 201, 231, 236, 255, 278, 291, 456, 488, 500, 565, 801, 957, 1038, 1116, 1194, 1292, 1347, 1452, 2224, 2347, 4383, 5165, 5186, 5399, 6262, 7008, 7450, 8100, 8636, 9212, 10134, 11200, 11536, 11730, 13358, 13816, 17790, 20525, 21897, 22021, 23616, 26308, 28736, 36634, 41579, 45642, 59889, 60860, 62426, 68864, 71626, 80835, 92249, 94844, 107561, 107913, 112921, 120049, 132099, 132736, 139669, 146986, 184480, 196468, 198840, 257384, 279158, 310785, 326158, 358684, 417787, 420717, 469968
73710809	Low	2013-07-29	1000000	23	0
80857169	Low	2006	2270000	19	2	4, 1251076
81202305	315	2013-07-30	175000	2970	51	6, 9, 10, 12, 13, 42, 94, 105, 108, 210, 328, 345, 418, 691, 699, 712, 718, 759, 835, 931, 1053, 1105, 1383, 1438, 2382, 2470, 2812, 3166, 3322, 3444, 3469, 3934, 4102, 5146, 5395, 5904, 6742, 7473, 7848, 7909, 8193, 8383, 9622, 12393, 14464, 47779, 63466, 64228, 115603, 125971, 172113
84966861	3	2020-06-15	150000	2926	48	9, 21, 25, 46, 53, 55, 67, 103, 137, 257, 275, 293, 361, 385, 427, 586, 961, 1058, 1354, 1726, 2047, 2078, 3674, 3989, 4165, 4681, 5426, 5913, 6346, 7375, 7586, 8833, 10174, 11582, 13127, 14614, 18934, 26858, 32023, 32181, 33022, 41758, 48451, 54778, 76934, 86195, 140219, 144617

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