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Proth primes of the form k•2n+1, 2000 < k < 4000
Overview
Automatically generated table from available Proth primes 2000 < k < 4000.
Explanations
The colors used in the table are defined as:
- : k-value is reserved
- : k-value is not reserved
Primes table
There are 10 sequences:
| k | Type | Date | max n | Nash | # | Primes for n |
|---|---|---|---|---|---|---|
| 2187 | 3 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 2141 | 41 | 3, 6, 15, 23, 30, 36, 66, 68, 72, 75, 162, 183, 272, 918, 1182, 1391, 1503, 2607, 3387, 5382, 7703, 8166, 15810, 16664, 45464, 49215, 52872, 68115, 93174, 127100, 296480, 355583, 400511, 450438, 463623, 535518, 569444, 798500, 799404, 933336, 2786802 |
| 2379 | 3 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 1696 | 29 | 1, 5, 19, 23, 41, 95, 109, 761, 779, 1081, 1415, 2735, 6049, 6389, 8114, 9466, 13199, 14786, 27739, 28489, 67193, 191774, 271441, 307373, 430546, 486341, 1400453, 1607066, 1823786 |
| 2653 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 1433 | 22 | 2, 8, 16, 22, 38, 40, 46, 98, 232, 398, 1738, 3048, 6022, 9790, 11758, 35542, 65016, 139648, 218626, 236506, 538960, 1523362 | |
| 2943 | 3 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 1135 | 22 | 8, 18, 20, 32, 798, 1020, 1080, 1950, 1998, 2960, 6030, 7880, 8000, 11420, 28580, 40052, 88398, 91260, 108041, 201780, 1309388, 1504290 |
| 3125 | 2023-10-21 | 3,486,000 | 1150 | 28 | 17, 29, 39, 123, 131, 143, 149, 167, 221, 303, 543, 593, 2331, 2823, 3401, 3843, 10637, 11199, 13769, 24293, 25407, 94073, 147089, 168927, 1583223, 2697651, 2867399, 3124079 | |
| 3207 | 3 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 2518 | 59 | 2, 3, 7, 11, 12, 14, 23, 39, 63, 74, 83, 90, 91, 123, 134, 170, 194, 208, 230, 403, 480, 487, 498, 683, 743, 962, 3122, 4628, 5882, 6402, 6680, 7560, 7679, 10008, 17744, 31710, 44731, 51182, 63174, 83823, 100202, 115739, 154119, 204279, 221063, 296948, 321978, 360220, 371927, 387203, 396887, 791582, 903902, 1244504, 1267439, 1286940, 1859448, 3375314, 3412108 |
| 3267 | 3 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 2071 | 40 | 6, 7, 10, 12, 19, 27, 34, 51, 307, 334, 358, 375, 408, 487, 507, 547, 570, 787, 1587, 1938, 2998, 5499, 10380, 12322, 12324, 14950, 20280, 22368, 34719, 35755, 73507, 87103, 101707, 102288, 140926, 355594, 846210, 976387, 2173170, 2305266 |
| 3375 | 315 | 2023-10-21 | 3,486,000 | 2702 | 48 | 4, 7, 10, 22, 26, 47, 62, 65, 91, 124, 131, 172, 226, 391, 395, 796, 1406, 1972, 2275, 2300, 2891, 8254, 9614, 10367, 13490, 20467, 25360, 25415, 37306, 56315, 83585, 83897, 126874, 132230, 328394, 346790, 350816, 448192, 480146, 542746, 588257, 689495, 757070, 837107, 1291400, 1350052, 2314297, 3473210 |
| 3777 | 3 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 3246 | 61 | 8, 10, 12, 15, 20, 22, 24, 26, 36, 40, 59, 62, 80, 155, 190, 202, 230, 231, 234, 270, 327, 342, 347, 386, 396, 419, 446, 512, 1286, 1395, 1448, 1482, 1630, 1784, 2000, 2891, 7554, 7995, 8642, 10570, 13388, 13980, 20396, 28227, 29294, 29687, 39876, 69771, 70494, 91594, 99036, 106618, 157610, 283179, 307090, 448364, 695240, 698399, 917700, 967076, 3374072 |
| 3943 | 2024-10-15 PrimeGrid Proth Prime Search Extended (MR25) |
2,000,000 | 1934 | 45 | 2, 30, 54, 74, 86, 146, 150, 166, 318, 338, 342, 372, 530, 540, 966, 1058, 1074, 1438, 1482, 1526, 2722, 3074, 4026, 4614, 4974, 5998, 8126, 8868, 9612, 9710, 13302, 16710, 16926, 18822, 18830, 24606, 57902, 148138, 174038, 221274, 311366, 384002, 809706, 1280698, 1642638 |
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