A215610 Odd integers n such that 2^n == 2^6 (mod n).

1, 31, 18631, 55831, 92329, 3014633, 3556559, 6429121, 9664591, 12158831, 33554431, 34844431, 566740481, 644903881, 727815241, 842608801, 2207017049, 2208171881, 2445644207, 8694918511, 9031128791, 18738146881, 27345981361, 35476604081

Offset

1,2

Comments

Also, the odd solutions to 2^(n-6) == 1 (mod n). The only even solution is n=6.

For all m, 2^A033981(m)-1 belongs to this sequence.

Links

Max Alekseyev, Table of n, a(n) for n = 1..102 (all terms below 10^14)

Mathematica

m = 64; Join[Select[Range[1, m, 2], Divisible[2^# - m, #] &],
Select[Range[m + 1, 10^6, 2], PowerMod[2, #, #] == m &]] (* Robert Price, Oct 08 2018 *)

Crossrefs

The odd terms of A015926.

Cf. A173572, A033984, A215611, A215612, A215613

Sequence in context: A245571 A074218 A161395 * A292009 A086122 A239167

Adjacent sequences: A215607 A215608 A215609 * A215611 A215612 A215613

Keyword

nonn

Author

Max Alekseyev, Aug 17 2012

Status

approved