A215611 Odd integers n such that 2^n == 2^8 (mod n).

1, 127, 3473, 19313, 30353, 226703, 230777, 345023, 929783, 1790159, 1878073, 2569337, 3441743, 4213511, 8026103, 9770153, 19139183, 24261623, 30652223, 35482433, 38044223, 40642103, 55015793, 65046479, 67411121, 69601193, 119611073

Offset

1,2

Comments

Also, the odd solutions to 2^(n-8) == 1 (mod n). The only even solution is n=8.

For all m, 2^A051447(m)-1 belongs to this sequence.

Links

Max Alekseyev, Table of n, a(n) for n = 1..859 (all terms below 10^14)

Mathematica

m = 2^8; Join[Select[Range[1, m, 2], Divisible[2^# - m, #] &],
Select[Range[m + 1, 10^6, 2], PowerMod[2, #, #] == m &]] (* Robert Price, Oct 12 2018 *)

Crossrefs

The odd terms of A015929.

Cf. A051447, A033984, A173572, A215610, A215612, A215613.

Sequence in context: A008398 A144969 A114535 * A176357 A201071 A137789

Adjacent sequences: A215608 A215609 A215610 * A215612 A215613 A215614

Keyword

nonn

Author

Max Alekseyev, Aug 17 2012

Status

approved