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Generalized Repunit
A Generalized repunit for any base b ≥ 2 is defined as
- [math]\displaystyle{ (b^n-1)\over (b-1) }[/math].
Table
There are 2 sequences:
| b | Date | max n | # | Values n |
|---|---|---|---|---|
| 2 | 2024-10-31 | 124817431 | 52 | 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, 20996011, 24036583, 25964951, 30402457, 32582657, 37156667, 42643801, 43112609, 57885161, 74207281, 77232917, 82589933, 136279841 |
| 10 | 2023-05-16 | 10800000 | 11 | 2, 19, 23, 317, 1031, 49081, 86453, 109297, 270343, 5794777, 8177207 |
External links
- Extensive list by R.Fischer, 2024
- Collection table, N.Luhn, 2024
- Search by H.Lifchitz, last edit 2008
- Probable Primes Top 10000
- Generalized Repunit Search
- Blog! Generalized Repunit PRP's
- Efficient Generalized Repunit sieving/factoring
- List of Gen.Repunits
- Prime Pages: Definition, records and references
Number classes
| General numbers |
| Special numbers |
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| Prime numbers |
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