A295595 Numbers k such that Bernoulli number B_{k} has denominator 1919190.

36, 3924, 6012, 7596, 8172, 11412, 12564, 12708, 14004, 15156, 15804, 16164, 19692, 20556, 21564, 22068, 22212, 26388, 27684, 30924, 34812, 35172, 35388, 39492, 41508, 41868, 42732, 43812, 45324, 45972, 46836, 46908, 47052, 49212, 52092, 53388, 53604, 53748, 58932

Offset

1,1

Comments

1919190 = 2*3*5*7*13*19*37.

All terms are multiples of a(1) = 36.

For these numbers numerator(B_{k}) mod denominator(B_{k}) = 1280537.

Links

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

Example

Bernoulli B_{36} is
-26315271553053477373/1919190, hence 36 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, 1919190);
# Alternative according to Robert Israel's code in A282773:
with(numtheory): filter:= n ->
select(isprime, map(`+`, divisors(n), 1)) = {2, 3, 5, 7, 13, 19, 37}:
select(filter, [seq(i, i=1..10^5)]);

Crossrefs

Cf. A282773.

Sequence in context: A165984 A297021 A304459 * A003744 A163034 A339121

Adjacent sequences: A295592 A295593 A295594 * A295596 A295597 A295598

Keyword

nonn,easy

Author

Paolo P. Lava, Nov 24 2017

Status

approved