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	2020-10-09	93000000	51	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
10	2023-05-16	10800000	11	2, 19, 23, 317, 1031, 49081, 86453, 109297, 270343, 5794777, 8177207

Number classes

General numbers

Special numbers

Prime numbers