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A295594 Numbers k such that Bernoulli number B_{k} has denominator 272118.

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%I A295594 #10 Jan 06 2018 10:59:49
%S A295594 90,14670,24210,35010,40410,41670,44910,46890,55530,57870,60570,60930,
%T A295594 82710,83610,87030,89730,98370,101070,104670,106830,109530,111330,
%U A295594 113310,114930,117090,117270,117630,123570,128610,138870,150030,152730,160470,175590,178110,179730
%N A295594 Numbers k such that Bernoulli number B_{k} has denominator 272118.
%C A295594 272118 = 2*3*7*11*19*31.
%C A295594 All terms are multiples of a(1) = 90.
%C A295594 For these numbers numerator(B_{k}) mod denominator(B_{k}) = 230759.
%H A295594 Seiichi Manyama, <a href="/A295594/b295594.txt">Table of n, a(n) for n = 1..1000</a>
%F A295594 272118 = 2*3*7*11*19*31.
%F A295594 Bernoulli B_{90} is
%F A295594 1179057279021082799884123351249215083775254949669647116231545215727922535/ 272118 hence 90 is in the sequence.
%p A295594 with(numtheory): P:=proc(q, h) local n;  for n from 2 by 2 to q do
%p A295594 if denom(bernoulli(n))=h then print(n); fi; od; end: P(10^6, 272118);
%p A295594 # Alternative: # according to Robert Israel code in A282773
%p A295594 with(numtheory): filter:= n ->
%p A295594 select(isprime, map(`+`, divisors(n), 1)) = {2, 3, 7, 11, 19, 31}:
%p A295594 select(filter, [seq(i, i=1..10^5)]);
%Y A295594 Cf. A045979, A051222, A051225, A051226, A051227, A051228, A051229, A051230, A119456, A119480, A249134, A255684, A271634, A271635, A272138, A272139, A272140, A272183, A272184, A272185, A272186, A272369.
%K A295594 nonn,easy
%O A295594 1,1
%A A295594 _Paolo P. Lava_, Nov 24 2017