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Proth primes of the form k•2n+1 with missing ranges
Proth k-values with missing ranges below the largest known prime for that k.
Table
There are 42 sequences in this Wiki:
| k | Date | max n | max prime |
Nash | # |
|---|---|---|---|---|---|
| 7 | 2022-07-21 | 9000000 | 20267500 | 2144 | 43 |
| 9 | 2025-05-18 PrimeGrid Proth Prime Search |
6568300 | 13334487 | 2297 | 66 |
| 11 | 2023-01-08 | 9000000 | 15502315 | 1387 | 37 |
| 13 | 2023-10-11 | 9000000 | 16828072 | 920 | 28 |
| 15 | 2023-08-19 | 9000000 | 9830108 | 2873 | 65 |
| 25 | 2022-09-21 | 9000000 | 13719266 | 2198 | 46 |
| 27 | 2024-05-23 | 10000000 | 12184319 | 2142 | 49 |
| 37 | 2022-11-08 | 9000000 | 15474010 | 2532 | 57 |
| 41 | 2022-06-20 | 9000000 | 11676439 | 893 | 18 |
| 49 | 2022-09-11 | 9000000 | 9187790 | 1209 | 26 |
| 51 | 2025-05-18 PrimeGrid Proth Prime Search |
6568300 | 6945567 | 3076 | 63 |
| 63 | 2025-05-18 PrimeGrid Proth Prime Search |
6568300 | 8741225 | 3116 | 71 |
| 93 | 2025-05-18 PrimeGrid Proth Prime Search |
6568300 | 9235048 | 3116 | 68 |
| 119 | 2025-05-18 PrimeGrid Proth Prime Search |
6568300 | 6777781 | 1429 | 28 |
| 129 | 2025-05-18 PrimeGrid Proth Prime Search |
6568300 | 6900230 | 2357 | 40 |
| 1323 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 2764024 | 3226 | 73 |
| 1461 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 3448423 | 1347 | 32 |
| 1479 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 3356275 | 3237 | 55 |
| 1601 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 2256957 | 1503 | 36 |
| 2187 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 2786802 | 2141 | 43 |
| 3207 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 3412108 | 2518 | 59 |
| 3267 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 2305266 | 2071 | 40 |
| 3777 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 3374072 | 3246 | 61 |
| 4665 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 3400922 | 2280 | 55 |
| 5307 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 3374939 | 3348 | 58 |
| 5505 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 3375777 | 3173 | 58 |
| 6219 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 3374198 | 1826 | 39 |
| 6395 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 3373135 | 2048 | 41 |
| 8139 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 3447967 | 1062 | 30 |
| 9347 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 3374055 | 989 | 16 |
| 9609 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 3367351 | 2106 | 36 |
| 9777 | 2025-03-24 PrimeGrid Proth Prime Search Extended |
2250000 | 3462742 | 1485 | 22 |
| 10001 | 2018-04-05 | 1000000 | 2172615 | 1114 | 30 |
| 10003 | 2019-07-21 | 400000 | 1468292 | 2157 | 45 |
| 23451 | 2024-06-22 | 215203 | 3739388 | 1223 | 17 |
| 42717 | 2024-06-22 | 100000 | 905792 | 893 | 7 |
| 60357 | 2024-06-22 | 100000 | 1676907 | 2209 | 34 |
| 60849 | 2024-06-22 | 390015 | 3067914 | 1368 | 22 |
| 84363 | 2024-06-22 | 100000 | 2222321 | 1624 | 28 |
| 85287 | 2024-06-22 | 100000 | 1890011 | 1630 | 20 |
| 577294575 | 2023-04-10 (Alex_soldier) |
50000 | 546677 | 6655 | 144 |
| 945561887392230553579269135 | 2024-04-22 (Alex_soldier) |
600000 | 832899 | 8431 | 169 |
Proth primes
| Base = 2 : |
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