login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Integers n such that 2^n == 11 (mod n).
14

%I #23 Oct 08 2018 18:13:56

%S 1,3,262279,143823239,382114303,1223853491,381541784791,556985326431,

%T 6236258437049,98828020264153

%N Integers n such that 2^n == 11 (mod n).

%C 894157816841269897394424491194255510200782699 belongs to this sequence. [From Max Alekseyev]

%H Joe K. Crump, <a href="http://web.archive.org/web/20070614175509/http://www.immortaltheory.com/NumberTheory/2nmodn.htm">2^n mod n</a>

%t m = 11; Join[Select[Range[m], Divisible[2^# - m, #] &],

%t Select[Range[m + 1, 10^3], PowerMod[2, #, #] == m &]] (* _Robert Price_, Oct 08 2018 *)

%Y Cf. A125000, A124974, A033983, A033981, A050259, A124977, A124965, A015911, A015910.

%Y Cf. A015910, A015911, A033981, A050259, A124965, A124974, A124977, A015910, A015911, A033983, A125000.

%K nonn,more

%O 1,2

%A Joe K. Crump (joecr(AT)carolina.rr.com)

%E Edited by _N. J. A. Sloane_, Jul 03 2008 at the suggestion of _R. J. Mathar_

%E Terms 1, 3 prepended by _Max Alekseyev_, May 18 2011

%E a(9), a(10) from _Max Alekseyev_, Jul 30 2011