A295592 Numbers k such that Bernoulli number B_{k} has denominator 64722.

66, 3894, 4686, 5214, 6402, 8382, 9174, 9834, 10362, 10758, 11022, 13134, 14718, 17754, 20262, 20922, 22242, 23034, 23298, 25014, 25278, 25674, 26466, 27786, 28974, 29634, 30162, 31614, 34386, 36102, 37554, 37686, 38742, 39534, 40722, 42438, 44418, 45606, 46266

Offset

1,1

Comments

64722 = 2*3*7*23*67.

All terms are multiples of a(1) = 66.

For these numbers numerator(B_{k}) mod denominator(B_{k}) = 62483.

Links

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

Example

Bernoulli B_{66} is
1472600022126335654051619428551932342241899101/64722, hence 66 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, 64722);
# Alternative: # according to Robert Israel code in A282773
with(numtheory): filter:= n ->
select(isprime, map(`+`, divisors(n), 1)) = {2, 3, 7, 23, 67}:
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: A265454 A004998 A239409 * A097316 A239337 A099639

Adjacent sequences: A295589 A295590 A295591 * A295593 A295594 A295595

Keyword

nonn,easy

Author

Paolo P. Lava, Nov 24 2017

Status

approved