Riesel primes of the form k•2n-1, 6000 < k < 8000

Overview

Automatically generated table from available Riesel primes 6000 < k < 8000.

Explanations

The colors used in the table are defined as:

 

 : k-value is reserved

 

 : k-value is not reserved

Primes table

There are 44 sequences:

k	Type	Date	max n	Nash	#	Primes for n
6001	Low	2024-03-17	770000	938	14	7, 15, 49, 145, 763, 2119, 4159, 6763, 7087, 25789, 114775, 140449, 156555, 315529
6003	3	2024-03-16	400000	1970	36	3, 11, 12, 24, 44, 60, 68, 132, 140, 192, 240, 320, 348, 390, 636, 684, 762, 1595, 2315, 2340, 2442, 3036, 3468, 4632, 5948, 6803, 6984, 7640, 14363, 31386, 31536, 49892, 160416, 206576, 215148, 399834
6007	Low	2024-03-11	500000	386	5	13, 29, 2369, 8749, 11969
6011		2024-03-18	250000	1134	16	2, 10, 34, 38, 42, 1274, 2258, 2342, 2542, 3982, 4218, 4618, 5918, 11754, 30174, 88890
6013		2024-03-20	475000	1426	20	7, 15, 27, 199, 231, 235, 355, 1051, 1275, 1311, 2087, 2319, 14659, 40287, 46607, 48915, 66295, 93079, 127107, 224791
6015	315	2025-05-26	700000	2247	33	3, 7, 13, 33, 36, 87, 93, 138, 207, 219, 259, 511, 1138, 1219, 1279, 1287, 1377, 2493, 2556, 2686, 4212, 4767, 5013, 5592, 8917, 14821, 34023, 41511, 70446, 108037, 123717, 220563, 260299
6017		2024-03-21	300000	1106	16	6, 54, 114, 294, 894, 1176, 1530, 2658, 2850, 3360, 6750, 33086, 75744, 83658, 195246, 255846
6021	3	2024-03-22	300000	1760	28	1, 2, 22, 25, 37, 50, 86, 89, 139, 173, 229, 289, 385, 446, 454, 781, 1735, 2989, 7201, 24901, 31106, 44849, 50141, 75559, 111161, 132845, 146935, 291502
6023		2024-03-25	300000	2046	33	2, 6, 66, 90, 98, 104, 134, 152, 242, 302, 522, 558, 1022, 1316, 1358, 1616, 4284, 4334, 5978, 9426, 10530, 13716, 14790, 24212, 37842, 65466, 74952, 78160, 94080, 97446, 99704, 197682, 240030
6029	Low	2024-03-26	300000	675	9	24, 48, 64, 88, 196, 288, 732, 31024, 74232
6033	3	2024-03-27	300000	2226	47	4, 18, 20, 32, 38, 39, 52, 54, 58, 70, 82, 142, 150, 310, 378, 380, 508, 874, 1124, 1210, 1631, 2200, 3050, 4239, 4279, 6008, 6078, 10394, 12695, 13018, 14919, 17174, 20674, 22682, 26350, 31030, 40039, 42440, 42527, 43638, 49262, 74487, 76180, 85911, 86258, 167960, 176528
6037		2024-04-06	300000	1112	29	1, 5, 17, 21, 53, 145, 157, 217, 949, 1225, 1285, 1333, 1565, 1801, 2317, 2533, 2877, 5705, 6245, 8349, 8641, 9201, 9845, 10777, 21873, 22857, 53857, 56397, 209689
6045	315	2025-06-03	1400000	3219	67	2, 8, 33, 50, 80, 128, 165, 215, 230, 279, 392, 396, 449, 567, 675, 702, 800, 917, 947, 948, 1052, 1092, 1182, 1199, 2136, 2342, 2403, 2690, 3462, 3555, 3917, 5048, 5474, 6488, 6680, 6740, 7730, 7856, 9926, 11096, 12489, 17729, 20774, 20972, 31346, 35468, 46610, 59973, 70454, 116397, 128139, 135126, 157116, 214049, 245238, 251846, 260736, 310965, 538734, 592838, 737802, 869570, 909189, 1022786, 1165602, 1245438, 1311216
6059	Low	2020-07-27	750000 (sieve)	286	4	428, 10508, 130136, 540968
6075	315	2025-06-03	900000	3753	56	1, 8, 9, 17, 24, 33, 63, 67, 89, 136, 147, 177, 181, 187, 236, 246, 251, 315, 360, 390, 469, 525, 726, 780, 1177, 1419, 2781, 2821, 3087, 4387, 4443, 4895, 5505, 6133, 7605, 8941, 9624, 13985, 15039, 16797, 31447, 36791, 40591, 41958, 43627, 56280, 85491, 114605, 119437, 146401, 192027, 270710, 318657, 341778, 742636, 839658
6119	Low	2021-06-23	1035000	172	3	4544, 678080, 1011416
6135	315	2025-05-26	800000	3784	53	1, 13, 40, 69, 71, 86, 89, 128, 133, 181, 196, 298, 336, 393, 468, 496, 663, 772, 912, 924, 985, 1295, 1474, 1696, 1896, 2036, 3055, 3526, 4024, 5165, 5505, 6708, 7816, 9420, 14914, 17062, 18501, 28879, 33881, 35335, 35660, 36364, 57981, 63431, 66264, 78903, 98884, 116020, 117909, 246119, 676631, 739624, 782364
6165	315	2025-05-05	1333000	4403	95	1, 2, 4, 5, 14, 17, 18, 23, 29, 34, 62, 69, 78, 79, 84, 138, 142, 155, 161, 170, 191, 194, 202, 249, 389, 438, 474, 504, 575, 617, 619, 624, 667, 691, 799, 1119, 1259, 1949, 2020, 2164, 2202, 2668, 2700, 2843, 3203, 3222, 5397, 5430, 5497, 5801, 5854, 6187, 7885, 8441, 9349, 9654, 12565, 13202, 17572, 20340, 24290, 26063, 29402, 34435, 35392, 36457, 38671, 38682, 40649, 45448, 47709, 60150, 79907, 84694, 86347, 99875, 107594, 109019, 134008, 139677, 243634, 254237, 350250, 404771, 423938, 426467, 432948, 752905, 775125, 802635, 820642, 838587, 930042, 988573, 1219740
6211		2025-01-19	600000	1153	27	1, 7, 9, 25, 85, 127, 465, 601, 837, 1317, 1527, 2589, 2935, 3285, 5217, 5839, 8941, 10881, 14815, 34429, 37267, 62805, 80241, 80865, 160839, 192201, 398029
6225	315	2025-05-26	800000	2910	54	7, 10, 12, 18, 22, 37, 42, 52, 73, 91, 109, 151, 214, 220, 264, 303, 357, 463, 528, 850, 918, 1009, 1212, 2733, 2923, 3642, 4573, 4803, 5106, 7390, 8928, 12364, 12771, 13129, 14256, 23166, 28798, 30583, 45928, 49353, 55774, 56182, 58066, 68884, 68964, 101623, 118972, 161604, 215947, 234526, 275790, 285147, 637654, 745909
6255	315	2025-05-26	700000	2058	41	5, 17, 56, 57, 66, 81, 101, 122, 207, 225, 230, 344, 528, 530, 944, 990, 1901, 3017, 3255, 3776, 7950, 8057, 9050, 11511, 12005, 14957, 19505, 27867, 27950, 30288, 31736, 38288, 87869, 117026, 142626, 160347, 161595, 207231, 288590, 492210, 684282
6315	315	2025-05-26	800000	2177	43	8, 16, 32, 52, 56, 94, 407, 409, 599, 616, 634, 1199, 1244, 1352, 1532, 1633, 1856, 2383, 7727, 12211, 13121, 13531, 19003, 19366, 21947, 22102, 30436, 48224, 57803, 67369, 105727, 111572, 135628, 160697, 194681, 215914, 256763, 298402, 537394, 550115, 690106, 708748, 730985
6345	315	2025-05-28	700000	3889	71	1, 5, 13, 15, 18, 20, 21, 25, 26, 40, 50, 56, 58, 75, 138, 141, 149, 155, 172, 248, 255, 287, 395, 613, 689, 698, 779, 851, 1037, 1218, 1345, 1493, 1661, 2168, 2473, 2577, 2938, 3207, 3491, 3545, 3730, 4213, 4789, 5506, 6151, 7115, 13712, 16167, 21621, 24549, 29127, 32252, 33193, 42010, 42113, 61151, 67485, 77339, 82559, 86578, 109112, 117968, 126671, 171649, 220495, 233857, 303771, 344138, 518989, 663610, 691613
6369	3	2025-05-05	1333000	4450	79	3, 5, 7, 8, 15, 20, 25, 33, 43, 44, 51, 55, 57, 75, 112, 141, 151, 191, 244, 252, 263, 336, 348, 371, 399, 427, 519, 536, 584, 912, 953, 971, 1065, 1639, 1827, 2155, 2679, 3836, 3897, 4629, 5004, 8264, 8369, 8927, 9691, 11864, 13360, 14817, 15824, 18919, 21453, 21720, 22687, 22980, 24384, 27129, 27476, 27941, 29339, 31044, 49199, 52599, 58348, 76255, 76703, 77719, 107588, 130489, 133232, 144456, 145072, 172452, 324151, 353299, 363875, 428037, 843816, 1109384, 1117513
6435	3152145	2020-08-10	1000000	2512	52	3, 7, 12, 19, 21, 22, 36, 40, 54, 88, 112, 141, 328, 370, 376, 381, 600, 750, 1788, 1918, 2398, 2808, 2967, 3034, 5512, 5718, 5928, 8916, 11763, 14700, 16191, 17533, 18124, 19173, 26908, 30015, 48843, 63240, 81807, 91620, 100911, 116943, 128844, 129228, 136333, 191436, 201354, 257122, 297024, 317650, 565608, 873444
6467		2025-01-19	600000	2548	58	2, 4, 6, 8, 22, 24, 50, 58, 80, 110, 112, 142, 286, 326, 382, 410, 440, 664, 694, 760, 1024, 1158, 1304, 2030, 2464, 2848, 2950, 3212, 4276, 5194, 6174, 8038, 11120, 12596, 12652, 12932, 15446, 16442, 19672, 21032, 28868, 36770, 50066, 52992, 64000, 75768, 116890, 130622, 150392, 171590, 186892, 329062, 329964, 337564, 362686, 415928, 435358, 477474
6495	315	2025-05-28	700000	2468	38	4, 15, 34, 108, 113, 130, 170, 420, 469, 715, 857, 1037, 1309, 1419, 1858, 1882, 1899, 5947, 7444, 7817, 10190, 11033, 11194, 12295, 13247, 15793, 20903, 24967, 25925, 60723, 64660, 77137, 116215, 126003, 128917, 130023, 149314, 269644
6549	3	2022-04-12	430000	2148	41	3, 5, 9, 15, 23, 33, 59, 81, 105, 119, 263, 335, 501, 861, 911, 1349, 1425, 3843, 4265, 4869, 5076, 6419, 7200, 9981, 11985, 12360, 14661, 17211, 20985, 29421, 34119, 39591, 80196, 145343, 152901, 175523, 240705, 248103, 379739, 401853, 425145
6555	315	2025-05-05	1333000	5163	101	1, 4, 11, 13, 18, 21, 36, 37, 46, 66, 67, 71, 86, 102, 107, 118, 126, 136, 148, 162, 192, 201, 202, 211, 213, 216, 221, 259, 294, 351, 493, 539, 787, 816, 1289, 1320, 1478, 1501, 1586, 1659, 1679, 1722, 1799, 1908, 2562, 2611, 2831, 3007, 3193, 3507, 4161, 5464, 5647, 6477, 6588, 6929, 8489, 9162, 9517, 9761, 12891, 13802, 15984, 17542, 21041, 21742, 23230, 27228, 27866, 31768, 41753, 44626, 49656, 71657, 78299, 129732, 138551, 169579, 211720, 235260, 236514, 260989, 331847, 436774, 451634, 545008, 556347, 746598, 754942, 786768, 852689, 951938, 1008197, 1068902, 1080139, 1083091, 1125540, 1225770, 1254508, 1260074, 1270491
6705	315	2025-05-05	1333000	4752	90	3, 4, 5, 6, 7, 9, 10, 15, 16, 20, 25, 32, 39, 46, 88, 130, 173, 179, 208, 238, 239, 253, 327, 545, 577, 635, 642, 739, 803, 874, 932, 1048, 1056, 1103, 1110, 1223, 1306, 1389, 1463, 1697, 1738, 1793, 1820, 2425, 2496, 2518, 2737, 2755, 2970, 3594, 4523, 5245, 5439, 6214, 7564, 8869, 10114, 12317, 12994, 13932, 15789, 22546, 23197, 23304, 23449, 27687, 30419, 42160, 55522, 72673, 79560, 80014, 105702, 123612, 131119, 180234, 181043, 195096, 196239, 284576, 305423, 309980, 425927, 472680, 495407, 645467, 649240, 721692, 783226, 1283847
6869	Low	2023-06-06	600000	350	3	4, 45084, 522468
6883	Low	2024-04-19	11500000	100	1	39
6927	3	2022-07-17	750000	1399	23	14, 56, 62, 84, 146, 234, 368, 896, 2856, 2888, 3626, 5210, 6888, 8616, 10136, 12614, 43802, 44030, 51848, 72090, 490868, 743481, 748532
6975	315	2025-05-05	1333000	4518	94	3, 4, 6, 8, 9, 11, 12, 14, 15, 19, 21, 31, 42, 48, 56, 58, 59, 74, 102, 114, 154, 264, 278, 279, 292, 295, 317, 476, 483, 526, 659, 735, 736, 837, 856, 919, 1384, 1516, 1552, 1682, 1739, 1776, 2112, 2606, 2759, 2808, 3151, 3176, 3292, 3439, 3825, 3944, 4096, 5734, 6696, 6772, 7387, 7751, 7764, 9798, 13932, 16475, 16963, 17574, 21508, 23563, 26903, 28399, 35276, 37915, 39958, 43679, 48432, 56788, 60254, 68747, 203804, 213814, 220476, 249597, 292116, 363583, 389032, 481543, 529869, 544636, 554584, 562591, 639632, 687468, 853931, 974757, 1063347, 1321778
7077	3	2025-02-11	750000	2745	58	1, 2, 5, 9, 17, 20, 34, 49, 72, 80, 105, 109, 114, 152, 182, 197, 272, 290, 314, 344, 409, 464, 481, 482, 489, 493, 649, 824, 1442, 1742, 2121, 2876, 3750, 4556, 5462, 5757, 6032, 6033, 7061, 8194, 8593, 9937, 11957, 15164, 20729, 27053, 35450, 41109, 50136, 58382, 72157, 81414, 89032, 97542, 143750, 169432, 482292, 485953
7155	315	2015-08-28	50000	3268	57	2, 4, 5, 7, 8, 13, 28, 38, 50, 55, 64, 68, 71, 79, 128, 130, 134, 200, 202, 215, 223, 260, 269, 380, 469, 680, 694, 925, 1105, 1237, 1268, 1639, 2009, 2249, 2360, 2465, 2897, 3434, 5137, 5872, 6262, 7922, 10873, 15274, 15415, 18409, 19465, 23833, 27652, 32810, 35362, 39734, 41173, 216125, 536959, 575072, 1306550
7215	315	2025-05-05	1333000	4367	81	2, 3, 12, 14, 16, 23, 32, 33, 34, 44, 46, 72, 77, 87, 91, 174, 178, 179, 284, 328, 333, 442, 574, 578, 581, 589, 611, 616, 692, 768, 896, 1031, 1098, 1553, 2604, 2618, 3357, 3423, 3936, 4414, 6424, 8871, 10454, 11518, 13337, 22027, 22628, 24354, 33453, 33918, 39108, 39479, 40262, 44959, 48641, 50094, 51842, 60539, 86364, 93417, 95007, 103697, 113778, 140424, 146861, 176024, 197964, 201474, 213356, 240198, 251767, 462798, 521696, 527378, 608122, 637323, 649002, 731016, 911807, 1114007, 1285443
7245	315	2025-05-05	1333000	4608	91	1, 2, 5, 6, 12, 14, 15, 17, 18, 28, 38, 44, 45, 69, 102, 107, 147, 196, 215, 227, 245, 248, 278, 301, 357, 395, 419, 426, 476, 527, 539, 549, 561, 627, 660, 818, 1088, 1584, 1880, 2520, 2910, 3695, 3794, 4261, 4374, 5599, 7557, 8101, 9530, 9698, 11372, 13940, 14276, 17861, 18179, 19127, 25599, 29097, 30379, 32702, 34065, 36311, 51796, 55475, 65424, 67675, 83017, 83611, 87737, 130409, 190935, 199097, 211437, 226796, 250767, 299755, 312261, 338246, 410486, 412475, 520742, 566594, 618242, 734036, 788010, 808105, 880345, 882745, 994567, 1109076, 1248284
7331	Low	2021-06-23	1000000	196	3	34, 87154, 704842
7533	3	2023-02-17	750000	1670	32	8, 16, 32, 40, 50, 52, 128, 148, 230, 299, 302, 539, 755, 1030, 2452, 3272, 4010, 6052, 14960, 15746, 17972, 19556, 27332, 30266, 31700, 36608, 37618, 118091, 217286, 232388, 484406, 741440
7755	315	2024-04-18	500000	4068	86	2, 3, 8, 10, 14, 17, 22, 29, 38, 47, 54, 55, 87, 96, 106, 175, 204, 224, 232, 321, 380, 444, 446, 539, 567, 729, 776, 825, 1014, 1022, 1135, 1367, 1476, 1622, 1962, 1998, 2184, 2323, 2747, 4675, 4914, 5119, 6317, 6534, 6558, 6687, 6874, 7015, 7252, 7755, 8088, 8795, 10520, 10524, 15931, 17967, 18789, 20034, 22588, 28016, 28834, 30257, 31299, 37547, 38815, 55695, 60844, 66578, 66645, 73814, 74030, 78470, 84996, 85340, 96295, 133755, 143165, 155946, 225482, 262415, 273741, 282483, 327326, 384196, 416923, 467489
7911	3	2025-01-11	800000	1819	33	2, 11, 14, 23, 41, 50, 53, 113, 154, 185, 794, 1061, 2170, 3931, 13082, 15823, 21575, 22523, 24407, 39706, 55370, 68734, 104086, 115877, 130034, 168290, 183647, 195173, 312946, 387497, 389743, 726161, 745601
7933	Low	2024-03-13	1000000	523	3	3, 7, 820795
7977	3	2022-12-17	630000	1538	35	2, 8, 12, 26, 48, 60, 162, 416, 420, 1844, 2376, 3068, 3192, 3284, 3924, 4112, 10560, 12024, 13008, 20952, 23052, 23816, 31265, 35378, 40997, 55937, 58200, 84584, 105797, 125756, 220728, 260226, 295913, 463376, 626184

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