Riesel primes of the form k•2n-1, 109 < k < 1010

Overview

Automatically generated table from available Riesel primes 10⁹ < 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 15 sequences:

k	Type	Date	max n	Nash	#	Primes for n
1068669447	3	2020-06-04	250000	3300	60	4, 6, 13, 16, 17, 21, 32, 34, 53, 76, 148, 177, 213, 418, 436, 484, 592, 778, 814, 952, 953, 1057, 1118, 1209, 1558, 2140, 2386, 3150, 3440, 4418, 4450, 5689, 6609, 6861, 7618, 7774, 9602, 9920, 11548, 20513, 22114, 29646, 30370, 30490, 39873, 47013, 55414, 72118, 79129, 110493, 130673, 134541, 140742, 154844, 169004, 174438, 189781, 211088, 211089, 240453
1194281385	315	2025-01-01 Donal Maguire	1000000	6334	124	1, 7, 8, 14, 16, 27, 30, 34, 42, 45, 63, 85, 87, 99, 119, 121, 133, 146, 176, 231, 237, 278, 279, 287, 303, 308, 387, 400, 435, 474, 475, 512, 522, 525, 638, 868, 873, 915, 1148, 1330, 1360, 1395, 1463, 1533, 1682, 1689, 1741, 1756, 1774, 1811, 1856, 1944, 2295, 2415, 2494, 2787, 2828, 2871, 2894, 3118, 3139, 3258, 3330, 3827, 3910, 4185, 4309, 5296, 5390, 5738, 7105, 7675, 8098, 10458, 10753, 12440, 12553, 13399, 14241, 15465, 16651, 18664, 19250, 19362, 19749, 20939, 21275, 23480, 29519, 32649, 36056, 37725, 42896, 44644, 45022, 45319, 48013, 49442, 69802, 77768, 81990, 91461, 100439, 104379, 133404, 139196, 142293, 217894, 232576, 259485, 300585, 314016, 325971, 384440, 420687, 421910, 476732, 509286, 524852, 618189, 713733, 932639, 976993, 996291
1325978745	315	2025-04-24	400000	5367	109	6, 13, 17, 18, 21, 26, 29, 30, 34, 36, 46, 55, 59, 67, 70, 77, 86, 97, 98, 107, 114, 121, 129, 133, 173, 188, 193, 210, 211, 234, 243, 276, 279, 330, 333, 429, 439, 451, 454, 479, 484, 647, 680, 690, 703, 727, 747, 829, 839, 878, 931, 1064, 1099, 1176, 1261, 1367, 1484, 1714, 2604, 2734, 2761, 2833, 3586, 3849, 4100, 5328, 5487, 5756, 5991, 7081, 8424, 8473, 9977, 11844, 12716, 14670, 16457, 17166, 17260, 19726, 21194, 21350, 22700, 22748, 26393, 27793, 35030, 38574, 42790, 56087, 65110, 69414, 74639, 77876, 90263, 100327, 102667, 107933, 119068, 126339, 132928, 134594, 141131, 151751, 154035, 207546, 231853, 240347, 368910
1626176475	315	2025-04-24	400000	5557	98	2, 5, 6, 7, 9, 10, 13, 14, 16, 18, 28, 31, 32, 33, 34, 43, 46, 50, 57, 71, 114, 115, 122, 165, 238, 242, 244, 260, 298, 316, 330, 366, 398, 425, 426, 428, 436, 478, 481, 565, 598, 836, 845, 856, 868, 1077, 1186, 1445, 1455, 1551, 1573, 1777, 1840, 2582, 2637, 2687, 3690, 3742, 3959, 4127, 4374, 4503, 4882, 5478, 5596, 6371, 7374, 8418, 8968, 9968, 10180, 10982, 13210, 13837, 15641, 17020, 19221, 19576, 20662, 24829, 25994, 27028, 28335, 38114, 38282, 41085, 50156, 68798, 100519, 103538, 107527, 123272, 131896, 146290, 167053, 238545, 261194, 346364
1694614845	315	2025-04-24	400000	5732	107	2, 3, 11, 21, 26, 28, 29, 38, 39, 44, 45, 50, 63, 65, 71, 92, 94, 104, 110, 121, 137, 143, 205, 245, 273, 284, 308, 331, 345, 347, 380, 392, 417, 425, 520, 584, 722, 806, 826, 899, 945, 1060, 1394, 1398, 1466, 1852, 1880, 2421, 2585, 2857, 2937, 2954, 3587, 3711, 3814, 3918, 4117, 4347, 4354, 4400, 5141, 5679, 6941, 7058, 7214, 7507, 7758, 10867, 10875, 11038, 11045, 11609, 13419, 13435, 13793, 16098, 17870, 17986, 18092, 21331, 25787, 27632, 28259, 28426, 31386, 32257, 33733, 41251, 43487, 44331, 44443, 59800, 93211, 96931, 107041, 109602, 112609, 121945, 189013, 210675, 233653, 253946, 276735, 287699, 305693, 315949, 344338
1738812075	3152145	2025-04-24	400000	5587	114	3, 4, 10, 13, 15, 19, 20, 25, 40, 41, 42, 48, 50, 51, 56, 64, 72, 80, 84, 88, 107, 128, 130, 132, 163, 164, 179, 191, 194, 203, 227, 237, 274, 276, 289, 300, 327, 357, 369, 407, 459, 491, 505, 617, 744, 834, 836, 850, 1039, 1074, 1180, 1191, 1411, 1548, 1703, 1722, 2344, 2492, 2688, 2698, 3011, 4188, 4245, 4405, 4634, 4698, 5103, 5277, 5311, 5332, 5385, 5936, 6314, 6765, 6852, 7992, 8048, 9049, 10400, 10671, 10700, 11452, 12181, 12812, 15255, 15936, 17876, 20274, 29865, 33423, 37869, 68881, 74960, 81683, 82489, 82713, 83458, 92504, 95978, 100914, 126949, 131359, 139593, 148341, 150249, 162396, 163052, 177484, 208659, 270036, 272308, 295976, 338289, 369523
1952775825	3152145	2025-04-24	400000	6493	117	4, 5, 16, 19, 23, 28, 36, 47, 55, 62, 64, 75, 82, 90, 96, 101, 111, 124, 130, 132, 144, 163, 169, 249, 251, 254, 279, 292, 296, 298, 309, 318, 325, 348, 364, 383, 391, 396, 420, 438, 444, 447, 457, 491, 532, 558, 560, 620, 691, 850, 899, 980, 1053, 1058, 1123, 1159, 1254, 1441, 1580, 1927, 2044, 2164, 2228, 2315, 2396, 2449, 2565, 3664, 4147, 4408, 4597, 4765, 4895, 4909, 5191, 5712, 6665, 6740, 7390, 8602, 11123, 11329, 12554, 15120, 16001, 16952, 19804, 21598, 22360, 22692, 24144, 27675, 28058, 28066, 29132, 33297, 35458, 44266, 46850, 48607, 55149, 73821, 81029, 83559, 90765, 100239, 149624, 165514, 182259, 189583, 195121, 221012, 223100, 224003, 351809, 366939, 381015
2003663613	3	2010-08-27	195000	3438	51	6, 14, 19, 52, 59, 108, 139, 158, 396, 427, 436, 484, 540, 642, 806, 972, 1015, 1176, 1275, 1602, 1638, 1646, 2464, 2500, 2635, 3948, 5202, 8088, 8680, 12942, 12970, 16582, 17835, 22686, 23448, 23580, 37286, 40264, 42679, 57003, 61287, 64884, 66664, 77126, 94787, 96979, 109828, 152383, 187323, 193956, 195000
2022381375	315	2025-04-24	400000	5639	103	1, 4, 5, 6, 9, 15, 16, 17, 25, 26, 27, 29, 40, 50, 53, 56, 93, 111, 114, 134, 137, 146, 159, 160, 196, 230, 235, 256, 268, 311, 364, 375, 405, 435, 464, 497, 511, 533, 541, 547, 674, 718, 746, 821, 1023, 1036, 1103, 1108, 1110, 1167, 1374, 1417, 2073, 2563, 2607, 2734, 2813, 3113, 3437, 3825, 4257, 6101, 6534, 7809, 7837, 8014, 9345, 9527, 10125, 10441, 11175, 11534, 11648, 14186, 15476, 18674, 24475, 26297, 27974, 31343, 37131, 39013, 48395, 51541, 52769, 56303, 84865, 89597, 96938, 118503, 118671, 135688, 160564, 166895, 211753, 218104, 232878, 244893, 262241, 273167, 293727, 315661, 343804
2995125705	31521452805	2007-05-07	965000	6813	134	1, 4, 5, 7, 8, 10, 13, 14, 16, 21, 22, 36, 43, 44, 55, 56, 57, 58, 62, 68, 69, 70, 84, 85, 92, 96, 119, 130, 165, 203, 222, 267, 289, 404, 458, 539, 582, 621, 664, 740, 764, 796, 815, 866, 885, 916, 1756, 1865, 2061, 2214, 2416, 2635, 2648, 2716, 2777, 3023, 3104, 3228, 3475, 3609, 4299, 4350, 4639, 4759, 4959, 4960, 5199, 5352, 5393, 5558, 5957, 7078, 7466, 7914, 9272, 10139, 12510, 14157, 14437, 15268, 15528, 16291, 18214, 19684, 19885, 20301, 21139, 23998, 27142, 28376, 28527, 34942, 40721, 45104, 47108, 51131, 52606, 58396, 60053, 60190, 74425, 85793, 86434, 96913, 125285, 125628, 130717, 133836, 136472, 137094, 155171, 155234, 176659, 184837, 189529, 210062, 214423, 218554, 231378, 267830, 276667, 304550, 369638, 377098, 398076, 418999, 449154, 499082, 529005, 553148, 629062, 674974, 734584, 891645
3276742755	3152145	2025-04-24	400000	5600	104	1, 2, 10, 18, 19, 22, 28, 37, 38, 45, 46, 51, 58, 62, 66, 67, 68, 76, 101, 107, 111, 116, 131, 132, 138, 145, 176, 182, 199, 219, 229, 240, 252, 261, 287, 333, 364, 444, 483, 552, 582, 614, 654, 675, 684, 697, 752, 879, 984, 1142, 1431, 1433, 1650, 1675, 1957, 2251, 2333, 3080, 3354, 3483, 4295, 4614, 4811, 5089, 5976, 5977, 6795, 6796, 8595, 11395, 11421, 12263, 13513, 15538, 16005, 17544, 19327, 19684, 20537, 25534, 35479, 36172, 46152, 46227, 60497, 69579, 71088, 72768, 86684, 87371, 128238, 152596, 162399, 166078, 176880, 182691, 188299, 248386, 253106, 260185, 273507, 289153, 321975, 340049
3467560635	3152805	2025-04-24	400000	5932	113	2, 12, 17, 20, 21, 24, 25, 26, 29, 36, 39, 41, 51, 52, 70, 83, 86, 105, 133, 145, 164, 178, 191, 234, 241, 251, 264, 272, 299, 305, 333, 359, 371, 410, 430, 433, 577, 627, 657, 669, 756, 865, 1083, 1119, 1148, 1542, 1614, 1707, 1908, 2027, 2078, 2151, 2270, 2317, 2405, 2456, 2682, 2701, 2948, 2969, 3305, 3337, 3349, 4120, 4693, 5353, 6277, 7064, 9203, 10211, 10213, 10721, 11086, 11898, 12713, 12796, 15721, 16908, 18085, 18404, 21149, 25462, 27075, 34145, 39972, 42885, 51580, 56746, 60081, 67821, 68481, 69260, 72993, 75129, 86354, 94476, 142265, 143595, 144516, 157744, 163936, 171026, 174049, 174077, 187542, 274439, 283353, 306548, 314870, 332529, 339001, 370425, 387681
4207993863	3	2021-08-12	100000	2250	31	14, 39, 48, 64, 92, 167, 190, 195, 260, 558, 1059, 1120, 1264, 1374, 1607, 1619, 1732, 3747, 3948, 4515, 5228, 6852, 8262, 8939, 9379, 12727, 33230, 38624, 54104, 61999, 69932
6522452145	315	2024-04-25	50000	6041	82	2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 16, 20, 22, 34, 67, 71, 74, 83, 100, 124, 135, 165, 174, 179, 230, 242, 270, 305, 350, 357, 393, 411, 438, 499, 567, 596, 615, 652, 738, 820, 872, 882, 1096, 1098, 1143, 1234, 1389, 1534, 1638, 2021, 2034, 2116, 3154, 4122, 4274, 4494, 4826, 6135, 7034, 8060, 8313, 10109, 10443, 11553, 11686, 11842, 13567, 14395, 17178, 19640, 20611, 20999, 23475, 24462, 25725, 27231, 29398, 31643, 37157, 37936, 43125
9006546615	315	2020-04-30	25000	4524	55	6, 9, 19, 28, 39, 43, 103, 150, 174, 190, 203, 212, 223, 224, 225, 226, 227, 307, 330, 550, 587, 683, 729, 824, 861, 1013, 1062, 1145, 1162, 1166, 1206, 1314, 1423, 1475, 1831, 2150, 2395, 2465, 2777, 3318, 4023, 4779, 5130, 7083, 10179, 10494, 12054, 12934, 13346, 15353, 20551, 20849, 21733, 23543, 24630

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