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A177918 Numbers k such that k^3 divides 18^(k^2) - 1. 15

%I #16 Jun 06 2021 06:02:01

%S 1,17,343927,1414961,28626075991,610559655569,5417488064959

%N Numbers k such that k^3 divides 18^(k^2) - 1.

%C 17 divides a(n) for n > 1.

%t Select[Range[350000], Mod[PowerMod[18, #^2, #^3] - 1, #^3] == 0 &] (* _Julien Kluge_, Sep 20 2016 *)

%Y Cf. A128358 (k divides 18^k - 1), A128398 (k^2 divides 18^k - 1).

%Y Cf. A129211, A129212, A177905, A127106, A177907, A127102, A177909, A177243.

%Y Cf. A177911, A177912, A177913, A177914, A177915, A177916, A177917, A177918, A177919, A177920.

%K hard,more,nonn

%O 1,2

%A _Alexander Adamchuk_, May 14 2010

%E Three more terms from _Max Alekseyev_, Oct 02 2010

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Last modified August 31 15:42 EDT 2024. Contains 375572 sequences. (Running on oeis4.)