A215613 Odd integers n such that 2^n == 2^12 (mod n).

1, 23, 89, 2047, 5969, 1803407, 6531977, 6667079, 7694041, 16252897, 146825647, 284464633, 315096487, 351745417, 413414167, 512694047, 615366953, 2723423687, 3104303327, 3969298807, 5754671737, 7242954137, 8766711119, 14046374879

Offset

1,2

Comments

Also, the odd solutions to 2^(n-12) == 1 (mod n). The only even solution is n=12.

For all m, 2^A051446(m)-1 belongs to this sequence.

Links

Max Alekseyev, Table of n, a(n) for n = 1..93 (all terms below 10^14)

Mathematica

m = 2^12; Join[Select[Range[1, m, 2], Divisible[2^# - m, #] &], Select[Range[m + 1, 10^7, 2], PowerMod[2, #, #] == m &]] (* Robert Price, Oct 15 2018 *)

Crossrefs

The odd terms of A015937.

Cf. A173572, A033984, A215610, A215611, A215612

Sequence in context: A117049 A142062 A050529 * A306138 A317371 A244632

Adjacent sequences: A215610 A215611 A215612 * A215614 A215615 A215616

Keyword

nonn

Author

Max Alekseyev, Aug 17 2012

Status

approved