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%I #14 Apr 29 2016 09:27:40
%S 44,484,748,2596,2684,3124,4444,4708,6556,6908,7964,8228,9812,9988,
%T 11308,11572,11836,11924,12452,13684,13772,13948,14828,15356,15532,
%U 16148,16676,16852,17468,17644,18524,19316,19756,20108,20284,20372,21076,22924,23012,24068,24772,25124,25828,26444
%N Numbers n such that Bernoulli number B_{n} has denominator 690.
%C 690 = 2 * 3 * 5 * 23.
%C All terms are multiple of a(1) = 44.
%C For these numbers Numerator(B_{n}) mod Denominator(B_{n}) = 637.
%H Seiichi Manyama, <a href="/A272186/b272186.txt">Table of n, a(n) for n = 1..1000</a>
%e Bernoulli B_{44} is -27833269579301024235023/690, hence 44 is in the sequence.
%p with(numtheory): P:=proc(q,h) local n; for n from 2 by 2 to q do
%p if denom(bernoulli(n))=h then print(n); fi; od; end: P(10^6,690);
%o (PARI) isok(n) = denominator(bernfrac(n)) == 690; \\ _Michel Marcus_, Apr 22 2016
%Y Cf. A045979, A051222, A051225, A051226, A051227, A051228, A051229, A051230, A119456, A119480, A249134, A255684, A271634, A271635, A272138, A272139, A272140, A272183, A272184, A272185.
%K nonn
%O 1,1
%A _Paolo P. Lava_, Apr 22 2016
%E a(9)-a(14) from _Michel Marcus_, Apr 22 2016
%E More terms from _Altug Alkan_, Apr 22 2016
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