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Positive integers n such that 13^n == 11 (mod n).
13

%I #19 Apr 10 2020 22:09:59

%S 1,2,158,301823,1851103,8616098,60528467,1087582634,1628818307,

%T 16205558969

%N Positive integers n such that 13^n == 11 (mod n).

%C No other terms below 10^15. - _Max Alekseyev_, Nov 07 2018

%C Large terms: 38763675625170712166, 527929122195463909516681113715859203.

%t Join[{1, 2}, Select[Range[1, 9000], Mod[13^#, #] == 11 &]] (* _G. C. Greubel_, Nov 20 2017 *)

%t Join[{1, 2}, Select[Range[10000000], PowerMod[13, #, #] == 11 &]] (* _Robert Price_, Apr 10 2020 *)

%Y Solutions to 13^n == k (mod n): A001022 (k=0), A015963 (k=-1), A116621 (k=1), A116622 (k=2), A116629 (k=3), A116630 (k=4), A116611 (k=5), A116631 (k=6), A116632 (k=7), A295532 (k=8), A116636 (k=9), A116620 (k=10), this sequence (k=11), A116639 (k=15).

%Y Cf. A116609.

%K more,nonn

%O 1,2

%A _Zak Seidov_, Feb 19 2006

%E More terms from _Ryan Propper_, Jan 11 2008

%E Edited by _Max Alekseyev_, May 04 2010