A215612 Odd integers n such that 2^n == 2^10 (mod n).

1, 7, 73, 9271, 3195367, 6769801, 15413863, 24540337, 47424961, 52268743, 146583343, 384586849, 469501471, 475882081, 859764727, 1097475991, 1169323417, 1400034919, 2518532047, 2870143993, 3258854623, 5609707729, 6022970047, 6420870271, 9011348521

Offset: 1

Author

Max Alekseyev, Aug 17 2012

Keywords

• nonn

Comments

Also, the odd solutions to 2^(n-10) == 1 (mod n). The only even solution is n=10.

For all m, 2^A033982(m)-1 belongs to this sequence.

Links

• Max Alekseyev, Table of n, a(n) for n = 1..209 (all terms below 10^14)

Crossrefs

The odd terms of A015932.

Cf. A173572, A033984, A215610, A215611, A215613

Programs

Mathematica

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