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

Author

Paolo P. Lava, Nov 24 2017

Keywords

• nonn
• easy

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.

Examples

			Bernoulli B_{36} is
-26315271553053477373/1919190, hence 36 is in the sequence.
		

Links

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

Crossrefs

Cf. A282773.

Programs

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)]);