A295593 Numbers k such that Bernoulli number B_{k} has denominator 230010.

80, 160, 320, 13360, 17840, 18160, 20560, 25360, 26720, 28240, 30640, 35680, 36320, 36560, 41120, 43280, 45520, 46960, 50720, 52880, 56480, 60080, 61280, 69040, 70960, 71360, 72560, 72640, 79280, 84080, 87760, 91040, 92240, 93040, 93680, 93920, 94480, 97040, 97360

Offset

1,1

Comments

230010 = 2*3*5*11*17*41.

All terms are multiples of a(1) = 80.

For these numbers numerator(B_{k}) mod denominator(B_{k}) = 182293.

Links

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

Example

Bernoulli B_{80} is
-4603784299479457646935574969019046849794257872751288919656867/230010, hence 80 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, 230010);
# Alternative: # according to Robert Israel code in A282773
with(numtheory): filter:= n ->
select(isprime, map(`+`, divisors(n), 1)) = {2, 3, 5, 11, 17, 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: A134769 A376909 A371150 * A043332 A023702 A031460

Adjacent sequences: A295590 A295591 A295592 * A295594 A295595 A295596

Keyword

nonn,easy

Author

Paolo P. Lava, Nov 24 2017

Status

approved