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Generalized Repunit

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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 2024-10-21 124399361 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

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