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%I #19 Mar 02 2019 09:27:36
%S 1,2,3,9,14,15,27,38,51,81,98,135,243,266,658,686,722,729,1215,1431,
%T 1862,2187,2506,4131,4802,5054,6561,8469,9027,10755,10935,13034,13718,
%U 19683,25574,26602,33614,35378,36315,45009,46018,59049,82377,91238
%N Numbers k such that k | 12^k + 11^k + 1.
%C From _Robert Israel_, Feb 06 2018: (Start)
%C The only primes in the sequence are 2 and 3.
%C No terms are divisible by 4.
%C All terms divisible by 3 are odd.
%C (End)
%C This sequence is infinite because 3^j is a term. - _Jinyuan Wang_, Mar 02 2019
%H Robert G. Wilson v, <a href="/A057293/b057293.txt">Table of n, a(n) for n = 1..224</a> (first 125 terms from Robert Israel)
%p select(n -> 12 &^ n + 11 &^ n + 1 mod n = 0, [$1..10^6]); # _Robert Israel_, Feb 06 2018
%t Select[ Range[ 10^5 ], Mod[ PowerMod[ 12, #, # ] + PowerMod[ 11, #, # ] + 1, # ] == 0 & ]
%Y Contains A000244.
%K nonn
%O 1,2
%A _Robert G. Wilson v_, Sep 22 2000