A295587 Numbers k such that Bernoulli number B_{k} has denominator 13530.

40, 6680, 7880, 8920, 9080, 10280, 12520, 12680, 14120, 15320, 15560, 18280, 20840, 21640, 22760, 23480, 25720, 26440, 28040, 30040, 30280, 31880, 33080, 33560, 34520, 35240, 35480, 36280, 38680, 39640, 42040, 43880, 44360, 46120, 46520, 46840, 47240, 47720, 48520

Offset

1,1

Comments

13530 = 2*3*5*11*41.

All terms are multiples of a(1) = 40.

For these numbers numerator(B_{k}) mod denominator(B_{k}) = 11519.

Links

Seiichi Manyama, Table of n, a(n) for n = 1..1000

Example

Bernoulli B_{40} is -261082718496449122051/13530, hence 40 is in the sequence.

Maple

with(numtheory): P:=proc(q, h) local n;  for n from 2 by 2 to q do
if denom(bernoulli(n))=h then print(n); fi; od; end: P(10^6, 13530);
# Alternative: # according to Robert Israel code in A282773
with(numtheory): filter:= n ->
select(isprime, map(`+`, divisors(n), 1)) = {2, 3, 5, 11, 41}:
select(filter, [seq(i, i=1..10^5)]);

Crossrefs

Cf. A045979, A051222, A051225, A051226, A051227, A051228, A051229, A051230, A119456, A119480, A249134, A255684, A271634, A271635, A272138, A272139, A272140, A272183, A272184, A272185, A272186, A272369.

Sequence in context: A196855 A196949 A201624 * A183766 A364517 A184892

Adjacent sequences: A295584 A295585 A295586 * A295588 A295589 A295590

Keyword

nonn,easy

Author

Paolo P. Lava, Nov 24 2017

Status

approved