A295598 Numbers k such that Bernoulli number B_{k} has denominator 56786730.

60, 13620, 21180, 23340, 26940, 31260, 40620, 45420, 49620, 52620, 58020, 59460, 69780, 73020, 74220, 78180, 79140, 83940, 89580, 97260, 97620, 100020, 104460, 111660, 116940, 117060, 119820, 123180, 125340, 127860, 137820, 140460, 142260, 142620, 157980, 162420

Offset

1,1

Comments

56786730 = 2*3*5*7*11*13*31*61.

All terms are multiples of a(1) = 60.

For these numbers numerator(B_{k}) mod denominator(B_{k}) = 34488049.

Links

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

Example

Bernoulli B_{60} is
-1215233140483755572040304994079820246041491/56786730, hence 60 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, 56786730);
# Alternative: # according to Robert Israel code in A282773
with(numtheory): filter:= n ->
select(isprime, map(`+`, divisors(n), 1)) = {2, 3, 5, 7, 11, 13, 31, 61}:
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: A145411 A248708 A184890 * A113424 A009564 A269762

Adjacent sequences: A295595 A295596 A295597 * A295599 A295600 A295601

Keyword

nonn,easy

Author

Paolo P. Lava, Nov 24 2017

Status

approved