A295596 Numbers k such that Bernoulli number B_{k} has denominator 3404310.

84, 168, 16548, 26628, 29316, 38388, 43764, 47964, 53256, 61572, 69132, 71988, 72156, 73668, 87528, 96852, 103908, 109284, 121548, 123144, 124572, 137508, 139188, 142548, 144312, 144564, 146244, 147336, 156828, 163716, 167748, 172452, 174972, 185388, 188076, 190428

Offset: 1

Author

Paolo P. Lava, Nov 24 2017

Keywords

• nonn
• easy

Comments

3404310 = 2*3*5*7*13*29*43.

All terms are multiples of a(1) = 84.

For these numbers numerator(B_{k}) mod denominator(B_{k}) = 2346073.

Examples

			Bernoulli B_{84} is
-2024576195935290360231131160111731009989917391198090877281083932477/3404310 hence 84 is in the sequence.
		

Links

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

Crossrefs

Cf. A045979, A051222, A051225, A051226, A051227, A051228, A051229, A051230, A119456, A119480, A249134, A255684, A271634, A271635, A272138, A272139, A272140, A272183, A272184, A272185, A272186, A272369.

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, 3404310);
# Alternative: # according to Robert Israel code in A282773
with(numtheory): filter:= n ->
select(isprime, map(`+`, divisors(n), 1)) = {2, 3, 5, 7, 13, 29, 43}:
select(filter, [seq(i, i=1..10^5)]);