Riesel primes of the form k•2n-1, 8000 < k < 10000

Overview

Automatically generated table from available Riesel primes 8000 < k < 10000.

Explanations

The colors used in the table are defined as:

 

 : k-value is reserved

 

 : k-value is not reserved

Primes table

There are 37 sequences:

k	Type	Date	max n	Nash	#	Primes for n
8145	315	2025-02-11	700000	3005	50	2, 20, 21, 24, 27, 38, 44, 45, 62, 83, 104, 122, 347, 369, 492, 563, 573, 638, 720, 825, 2243, 3290, 3315, 3434, 4707, 7044, 7280, 8100, 9612, 10608, 12173, 12467, 13581, 30372, 38504, 41972, 53982, 90740, 100424, 120825, 130989, 133395, 146939, 154250, 164328, 334893, 351411, 351854, 448953, 647829
8181	3	2022-03-09	50000	2337	36	1, 3, 5, 9, 13, 19, 25, 41, 49, 63, 69, 83, 85, 99, 159, 243, 285, 309, 399, 701, 1049, 1139, 2311, 3195, 3223, 3729, 3865, 4339, 5373, 5379, 8018, 11690, 17061, 19379, 35943, 45794
8235	315	2025-05-04	700000	4380	87	2, 4, 5, 8, 12, 20, 21, 25, 27, 28, 32, 46, 48, 54, 58, 80, 84, 100, 128, 224, 232, 254, 260, 261, 288, 416, 450, 567, 612, 718, 860, 982, 1118, 1174, 1286, 1427, 1658, 1968, 2206, 2322, 2344, 2456, 2905, 3805, 4794, 5355, 5476, 6384, 6608, 6936, 7116, 7140, 14840, 16686, 21221, 22496, 24689, 30882, 31256, 41904, 45476, 61320, 65368, 69248, 73369, 96897, 96989, 110928, 122967, 132769, 153570, 176267, 198431, 244322, 262126, 276645, 278588, 285152, 342890, 350525, 389465, 397032, 409645, 483521, 531486, 585037, 698748
8295	315	2025-05-05	1333000	4753	90	2, 3, 7, 9, 11, 15, 16, 17, 22, 29, 37, 41, 51, 57, 99, 102, 109, 118, 122, 141, 165, 169, 274, 317, 323, 363, 391, 442, 494, 557, 866, 1051, 1061, 1362, 1379, 1605, 1639, 1648, 1974, 2174, 2323, 2475, 2573, 2626, 2914, 3104, 3185, 3387, 3832, 4493, 5041, 5779, 6405, 7217, 7251, 11423, 11941, 17336, 21601, 22122, 22963, 24201, 28697, 33894, 35241, 35417, 37003, 39823, 43459, 76457, 77591, 79257, 109362, 119499, 134953, 166246, 171511, 186827, 198218, 273065, 306575, 343581, 383469, 387251, 491744, 508161, 532615, 646773, 785683, 926313
8349	3	2021-08-17	10000	3125	39	3, 4, 5, 11, 12, 16, 17, 21, 28, 41, 73, 75, 76, 201, 209, 241, 417, 517, 612, 683, 741, 772, 921, 1192, 1313, 1476, 2101, 2371, 2401, 2469, 2592, 2709, 4139, 4253, 4413, 4877, 5616, 8428, 6082397
8367	3	2022-09-14	315000	1398	17	6, 52, 54, 190, 402, 976, 1098, 1642, 1926, 3622, 4396, 8322, 11826, 21772, 49168, 213694, 313705
8415	3152805	2020-07-27	20000	2890	41	1, 4, 11, 13, 17, 19, 23, 29, 37, 38, 40, 53, 136, 151, 208, 239, 347, 416, 433, 446, 655, 1028, 1228, 1369, 1457, 1493, 2008, 2239, 2249, 2288, 2527, 2731, 3229, 3496, 4789, 5020, 6376, 7039, 11059, 13649, 16508
8511	3	2025-01-19	400000	2837	61	1, 3, 5, 10, 14, 18, 23, 25, 26, 29, 30, 49, 51, 53, 61, 79, 89, 91, 94, 102, 109, 170, 185, 362, 399, 421, 521, 661, 730, 890, 1018, 1090, 1366, 1509, 1922, 2483, 2522, 2609, 4841, 4986, 5295, 10266, 11179, 17389, 18449, 22821, 23198, 27939, 31465, 56554, 61146, 71190, 80258, 84701, 84842, 95838, 107213, 116313, 179051, 302009, 374486
8681	Low	2020-08-09	50000	305	1	8458
8775	315	2025-05-28	700000	2127	44	2, 3, 6, 8, 15, 48, 51, 62, 72, 101, 105, 113, 126, 468, 543, 603, 711, 726, 1473, 1623, 1862, 1910, 3755, 5423, 5928, 6012, 7401, 7955, 8522, 9870, 10493, 18753, 27965, 29655, 46733, 58073, 79955, 96111, 152745, 285123, 354045, 375426, 410676, 466208
8805	315	2025-05-28	700000	2946	50	1, 3, 7, 8, 13, 21, 23, 29, 109, 179, 383, 683, 794, 1273, 1374, 1771, 2001, 2569, 2678, 3253, 6271, 9757, 10771, 11439, 11539, 18011, 21024, 23078, 34194, 34313, 48911, 50071, 56079, 56928, 57143, 58808, 78703, 92008, 114608, 116057, 152738, 155191, 195859, 206123, 250681, 371449, 433928, 503967, 509234, 663301
8835	315	2025-05-28	700000	2993	60	1, 2, 4, 10, 13, 28, 34, 40, 41, 46, 61, 92, 193, 262, 275, 374, 880, 1253, 1337, 1537, 1820, 2345, 2521, 2813, 3332, 3521, 3692, 4765, 4928, 5590, 6397, 6436, 7423, 7600, 8596, 8735, 11237, 23177, 23260, 26030, 26201, 34124, 40504, 40864, 42436, 43972, 56300, 59368, 59807, 62221, 83813, 106270, 172150, 185644, 188447, 228398, 299336, 469138, 591437, 698425
8847	3	2021-05-10	700000	3512	57	4, 8, 14, 18, 20, 26, 36, 44, 54, 77, 96, 113, 124, 174, 228, 324, 376, 438, 444, 448, 449, 498, 588, 694, 725, 784, 848, 1336, 1916, 2386, 2606, 3536, 3608, 4936, 5238, 5460, 5538, 6690, 9866, 18306, 19874, 27384, 29406, 35254, 40166, 44438, 52260, 53560, 58340, 67918, 127413, 418900, 484394, 514298, 621668, 668321, 671298
8865	315	2025-06-03	700000	3640	77	1, 3, 7, 8, 10, 11, 14, 17, 33, 56, 57, 59, 63, 79, 86, 110, 122, 124, 153, 187, 191, 212, 218, 443, 451, 494, 520, 521, 537, 633, 646, 657, 1019, 1024, 1090, 1370, 1844, 1863, 1991, 2451, 2462, 2529, 3130, 4312, 4728, 6950, 8216, 8846, 10270, 10763, 11962, 13044, 15391, 18844, 19303, 19511, 32012, 34562, 40140, 60369, 77184, 92231, 98937, 131798, 139559, 147303, 149393, 170528, 214850, 242254, 279019, 298322, 303744, 345974, 401432, 435503, 435722
8895	315	2025-01-14	800000	3479	74	1, 4, 7, 16, 21, 24, 28, 35, 36, 57, 79, 81, 82, 97, 98, 130, 139, 202, 204, 220, 376, 461, 611, 672, 701, 754, 852, 865, 955, 1041, 1248, 1341, 1375, 1961, 2066, 2474, 2668, 2738, 3787, 3906, 4058, 4375, 4444, 5035, 6411, 7900, 8277, 8896, 8908, 10177, 11665, 16141, 20911, 34170, 34362, 40618, 52737, 53826, 65041, 68579, 76074, 81234, 84364, 88185, 116884, 132301, 134898, 137050, 138175, 159770, 278008, 324930, 606725, 717666
8925	315	2025-07-05	1400000	3575	68	3, 4, 5, 6, 15, 16, 23, 27, 62, 70, 89, 92, 140, 417, 496, 584, 812, 907, 974, 992, 1047, 1092, 1110, 1130, 1503, 2054, 2635, 2779, 3155, 3329, 3635, 4459, 7514, 9305, 9377, 9827, 11555, 16424, 38825, 43804, 45323, 53382, 60364, 64223, 69963, 79179, 91052, 111550, 132659, 142619, 186443, 194883, 197447, 204307, 286906, 342706, 344283, 347755, 476724, 537587, 651393, 697832, 950979, 983182, 1037920, 1206239, 1340947, 1342459
8955	315	2025-06-03	700000	2858	53	1, 6, 9, 13, 15, 21, 24, 31, 39, 43, 57, 75, 157, 175, 192, 214, 259, 348, 405, 571, 573, 687, 711, 894, 1137, 1672, 3285, 3427, 4323, 8265, 9613, 12015, 13371, 14892, 15411, 16918, 20623, 36553, 37681, 63267, 71163, 77881, 89239, 155685, 171163, 199077, 201315, 278271, 309678, 394267, 447877, 525723, 531741
8961	3	2022-03-09	50000	1056	9	1, 5, 25, 41, 91, 14315, 14741, 30950, 41467
8985	315	2025-06-03	700000	2266	33	3, 39, 42, 111, 122, 123, 173, 291, 456, 528, 606, 965, 1116, 1260, 2382, 2700, 2730, 3759, 4572, 4790, 7590, 15389, 18110, 24318, 24878, 63072, 67085, 70152, 92247, 144042, 239892, 382968, 580368
9015	315	2025-05-05	1333000	4631	62	9, 14, 16, 17, 24, 39, 54, 95, 106, 132, 140, 204, 205, 237, 285, 312, 389, 396, 425, 574, 1007, 1434, 1574, 1754, 1822, 2264, 3224, 3244, 3975, 3986, 4393, 6949, 7139, 7199, 7494, 8018, 8080, 12167, 14594, 16189, 24209, 25205, 31742, 49328, 64066, 69237, 78034, 84017, 109065, 137662, 169125, 232920, 272534, 276287, 293854, 341684, 435418, 448216, 453672, 626654, 732435, 853964
9075	315	2025-05-05	1333000	4505	93	1, 2, 5, 7, 14, 18, 20, 28, 29, 31, 32, 34, 51, 53, 58, 65, 76, 89, 105, 119, 122, 123, 152, 217, 225, 229, 287, 418, 448, 483, 541, 570, 691, 997, 1244, 1249, 1267, 1307, 1312, 1326, 1924, 3032, 4078, 4159, 4630, 5694, 5962, 6973, 7373, 9639, 9879, 10832, 12633, 12703, 14581, 15207, 15290, 15859, 16835, 17418, 19578, 23455, 25178, 34305, 38949, 41924, 46340, 53551, 55178, 58663, 62483, 68668, 76675, 107403, 116682, 129087, 163818, 203540, 222560, 233812, 248411, 259712, 265758, 319291, 372169, 404230, 435321, 584745, 648450, 881939, 1119272, 1132874, 1331605
9087	3	2022-09-03	50000	1169	19	4, 16, 22, 34, 62, 202, 352, 512, 2092, 4252, 4672, 4741, 5176, 16424, 18196, 23252, 28832, 32102, 32902
9105	315	2025-05-06	900000	4316	69	4, 5, 6, 8, 11, 13, 18, 19, 21, 22, 25, 48, 60, 84, 94, 113, 122, 128, 162, 193, 206, 235, 239, 362, 410, 441, 552, 1021, 1309, 1356, 1472, 1665, 1866, 2133, 2399, 2766, 3655, 3693, 4281, 4473, 4728, 6570, 7512, 7845, 8568, 8753, 9364, 13428, 13710, 29090, 34325, 67855, 83280, 88585, 102493, 107934, 119912, 165540, 191220, 246635, 287302, 315030, 351659, 379902, 500713, 621563, 632565, 765128, 858810
9179	Low	2021-06-23	1000000	125	3	4120, 10408, 41680
9183	3	2022-01-14	500000	2030	32	6, 8, 32, 55, 96, 136, 143, 660, 1051, 1286, 1963, 2060, 2520, 3392, 3798, 4620, 4876, 5798, 9499, 9642, 19938, 20240, 24283, 44940, 51002, 71996, 111779, 135282, 167083, 461371, 469211, 499112
9221	Low	2021-03-04	11438898	379	1	11392194
9297	3	2022-02-08	500000	2834	50	1, 5, 8, 10, 13, 14, 20, 28, 32, 52, 80, 106, 214, 406, 434, 457, 578, 604, 664, 784, 793, 1040, 1144, 1168, 1616, 1652, 1913, 2633, 2990, 3212, 3277, 3350, 3520, 3908, 3925, 5957, 6074, 12004, 15890, 16538, 16738, 24085, 24152, 28148, 28568, 44717, 48598, 137386, 146192, 484820
9441	3	2025-05-05	1333000	4561	79	3, 5, 6, 7, 10, 13, 14, 15, 18, 21, 23, 35, 37, 49, 55, 77, 87, 97, 106, 111, 121, 250, 357, 418, 433, 449, 489, 495, 594, 691, 745, 825, 921, 957, 975, 1190, 1194, 1467, 2223, 2506, 2591, 3123, 3269, 7383, 10194, 11629, 13134, 14269, 20145, 22870, 28667, 28951, 29667, 39907, 45207, 45903, 48934, 49637, 53607, 65341, 68239, 78233, 132297, 137943, 150751, 210755, 235117, 288646, 306591, 359771, 388683, 441126, 501654, 528999, 610639, 662846, 893751, 991067, 1119721
9513	3	2025-01-28	100000	2981	43	3, 6, 7, 8, 11, 12, 15, 22, 32, 35, 52, 92, 136, 152, 199, 210, 268, 372, 378, 455, 1332, 1591, 1752, 3372, 4450, 5682, 5975, 9512, 10119, 10315, 16672, 17770, 18836, 19770, 25152, 25472, 27036, 28671, 43112, 54507, 61528, 87008, 87687
9519	3	2020-07-08	50000	2627	32	1, 11, 15, 25, 57, 65, 111, 113, 131, 155, 187, 233, 365, 467, 545, 607, 883, 1257, 1787, 2175, 2693, 2777, 3765, 4451, 5167, 7487, 8217, 10931, 13415, 15815, 22761, 33273
9531	3	2007-07-06	10000	1593	20	9, 18, 29, 101, 117, 137, 150, 230, 438, 593, 1770, 2337, 2442, 4994, 6389, 8670, 8765, 9458, 9531, 9753
9613	Low	2021-06-23	1000000	207	5	1479, 34239, 464439, 636159, 734907
9787	Low	2012-05-16	1000000	110	5	13, 589, 913, 2893, 47209
9789	3	2023-04-18	1000000	3951	82	1, 3, 4, 7, 8, 9, 11, 12, 13, 27, 39, 40, 51, 87, 99, 156, 157, 263, 283, 299, 303, 343, 344, 356, 361, 368, 467, 512, 524, 573, 653, 801, 872, 888, 939, 957, 964, 1164, 1411, 1423, 1433, 1591, 2119, 3229, 3620, 5192, 7688, 8597, 8851, 11823, 13323, 14967, 15843, 18317, 21421, 25136, 26943, 26976, 37617, 47340, 55159, 58167, 83656, 113117, 125321, 136757, 138996, 161012, 173384, 190537, 309123, 352283, 366092, 366571, 369864, 481340, 487853, 560363, 686007, 856067, 923960, 998093
9913	Low	2021-06-23	3000000	118	2	1187, 8387
9941	Low	2024-10-15 Riley Fisher	1100000	192	4	22, 238, 2062, 6382
9957	3	2022-04-13	500000	3622	50	1, 2, 4, 17, 21, 22, 24, 32, 37, 41, 45, 50, 57, 73, 81, 84, 96, 121, 164, 193, 337, 628, 1892, 2398, 4941, 5388, 6301, 7993, 12434, 12932, 13377, 13840, 18346, 22037, 32361, 48038, 49588, 56738, 57614, 58466, 91280, 95156, 96782, 100304, 109445, 183981, 258737, 301417, 396577, 488246

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