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

1,1

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.

Links

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

Example

Bernoulli B_{84} is
-2024576195935290360231131160111731009989917391198090877281083932477/3404310 hence 84 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, 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)]);

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: A044635 A273018 A260705 * A287118 A306514 A044416

Adjacent sequences: A295593 A295594 A295595 * A295597 A295598 A295599

Keyword

nonn,easy

Author

Paolo P. Lava, Nov 24 2017

Status

approved