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Proth primes of the form k•2n+1, 10,000 ≤ k ≤ 100,000
Overview
Automatically generated table from available Proth primes 10,000 < k < 100,000.
Explanations
The colors used in the table are defined as:
- : k-value is reserved
- : k-value is not reserved
Primes table
There are 27 sequences:
| k | Type | Date | max n | Nash | # | Primes for n |
|---|---|---|---|---|---|---|
| 10223 | Low | 2017 | 31,278,077 | 207 | 1 | 31172165 |
| 12321 | 3 | 2020-06-15 | 300,000 | 2495 | 46 | 4, 24, 29, 47, 61, 63, 67, 69, 87, 101, 129, 143, 153, 249, 252, 333, 408, 561, 616, 732, 929, 1349, 3467, 6156, 6919, 9244, 14413, 17128, 20059, 20169, 20512, 23479, 24076, 26208, 27189, 34113, 37648, 43893, 45537, 63107, 79527, 88752, 118701, 122844, 164961, 218753 |
| 12743 | Low | 2020-06-09 | 100,000 | 416 | 3 | 9, 41205, 49113 |
| 15735 | 315 | 2020-10-11 | 50,000 | 2954 | 35 | 4, 7, 10, 94, 95, 98, 110, 128, 136, 200, 215, 334, 559, 676, 740, 856, 935, 1159, 1463, 1468, 1763, 1795, 3274, 4037, 4162, 6139, 6857, 9893, 10228, 14915, 18815, 22903, 28555, 29278, 36490 |
| 19683 | 3 | 2019-10-08 | 4,000,000 | 1802 | 32 | 1, 5, 8, 32, 50, 400, 536, 592, 676, 866, 1157, 1300, 1661, 1730, 2440, 7046, 9698, 16180, 16226, 22330, 26990, 206005, 238780, 278941, 366665, 485845, 493846, 901745, 1797997, 1868828, 2033900, 2265896 |
| 21181 | Low | 2020-09-25 PrimeGrid Seventeen or Bust (MR16) |
32,698,000 | 169 | 0 | |
| 22249 | Low | 2020-04-10 | 500,000 | 284 | 2 | 2, 408602 |
| 22699 | Low | 2020-09-25 PrimeGrid Seventeen or Bust (MR16) |
32,698,000 | 69 | 0 | |
| 23971 | Low | 2020-10-17 PrimeGrid New Sierpiński Problem (MR19) |
10,000,000 | 108 | 1 | 8 |
| 24737 | Low | 2020-09-25 PrimeGrid Seventeen or Bust (MR16) |
32,698,000 | 174 | 0 | |
| 32247 | 3 | 2022-11-05 CRUS Liskovets-Gallot (MR12) |
9,000,000 | 1736 | 23 | 10, 18, 40, 94, 114, 190, 234, 240, 300, 538, 922, 1224, 6514, 8740, 13438, 19692, 23764, 43894, 48862, 49774, 60148, 75202, 75780 |
| 45323 | Low | 2020-11-25 | 10,000,000 | 266 | 1 | 1 |
| 48495 | 315 | 2020-10-08 | 1,000 | 3088 | 21 | 11, 13, 29, 40, 43, 49, 50, 70, 73, 82, 106, 125, 163, 251, 269, 349, 401, 479, 527, 614, 920 |
| 50777 | Low | 2020-10-17 PrimeGrid New Sierpiński Problem (MR19) |
10,000,000 | 166 | 1 | 11 |
| 50873 | Low | 2020-11-25 | 10,000,000 | 410 | 1 | 1 |
| 53133 | 3 | 2022-11-05 CRUS Liskovets-Gallot (MR12) |
9,000,000 | 1475 | 18 | 14, 26, 44, 72, 144, 146, 204, 222, 404, 642, 716, 1116, 1178, 5846, 16292, 21224, 24788, 42542 |
| 55459 | Low | 2020-09-25 PrimeGrid Seventeen or Bust (MR16) |
32,698,000 | 242 | 0 | |
| 66741 | 3Low | 2020-07-05 | 50,000 | 811 | 9 | 5, 51, 95, 117, 237, 357, 2231, 3767, 6837 |
| 67275 | 315 | 2020-10-08 | 1,000 | 3481 | 25 | 3, 4, 7, 9, 13, 15, 22, 33, 36, 37, 49, 64, 69, 72, 78, 93, 102, 109, 145, 211, 216, 277, 325, 348, 457 |
| 67607 | Low | 2020-09-25 PrimeGrid Seventeen or Bust (MR16) |
32,698,000 | 56 | 0 | |
| 68633 | Low | 2020-06-02 | 2,715,609 | 250 | 2 | 9, 2715609 |
| 76877 | Low | 2020-10-17 PrimeGrid New Sierpiński Problem (MR19) |
10,000,000 | 96 | 1 | 11 |
| 77777 | Low | 2023-01-06 (Alex_soldier) |
2,000,000 | 374 | 5 | 15, 103, 223, 1063, 34087 |
| 78557 | Low | 1962 | 0 | 0 | 0 | No primes possible! |
| 79309 | Low | 2021-07-12 PrimeGrid Prime Sierpiński Problem (MR18) |
23,890,000 | 56 | 0 | |
| 79817 | Low | 2021-07-12 PrimeGrid Prime Sierpiński Problem (MR18) |
23,890,000 | 146 | 0 | |
| 95283 | 3 | 2020-07-05 | 50,000 | 1489 | 27 | 4, 14, 22, 28, 34, 148, 230, 274, 304, 352, 446, 616, 652, 1214, 1796, 2632, 4516, 4888, 4918, 7852, 9314, 13096, 17908, 25124, 25828, 29912, 40228 |
Proth primes
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