A295588 Numbers k such that Bernoulli number B_{k} has denominator 14322.

30, 1770, 3810, 4170, 4470, 4890, 5910, 5970, 6810, 8070, 9210, 10590, 11370, 11670, 12030, 12990, 13470, 13890, 14370, 14970, 15630, 16890, 17070, 17610, 18510, 18570, 19290, 19410, 20190, 20310, 21270, 22710, 24810, 25710, 26310, 27570, 27870, 29010, 29490, 29730

Offset

1,1

Comments

14322 = 2*3*7*11*31.

All terms are multiples of a(1) = 30.

For these numbers numerator(B_{k}) mod denominator(B_{k}) = 12899.

Links

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

Example

Bernoulli B_{30} is 8615841276005/14322, hence 30 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, 14322);
# Alternative: # according to Robert Israel code in A282773
with(numtheory): filter:= n ->
select(isprime, map(`+`, divisors(n), 1)) = {2, 3, 7, 11, 31}:
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: A222719 A089550 A007804 * A108298 A202384 A202369

Adjacent sequences: A295585 A295586 A295587 * A295589 A295590 A295591

Keyword

nonn,easy

Author

Paolo P. Lava, Nov 24 2017

Status

approved