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A295598 Numbers k such that Bernoulli number B_{k} has denominator 56786730. 1
60, 13620, 21180, 23340, 26940, 31260, 40620, 45420, 49620, 52620, 58020, 59460, 69780, 73020, 74220, 78180, 79140, 83940, 89580, 97260, 97620, 100020, 104460, 111660, 116940, 117060, 119820, 123180, 125340, 127860, 137820, 140460, 142260, 142620, 157980, 162420 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

56786730 = 2*3*5*7*11*13*31*61.

All terms are multiples of a(1) = 60.

For these numbers numerator(B_{k}) mod denominator(B_{k}) = 34488049.

LINKS

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

EXAMPLE

Bernoulli B_{60} is

-1215233140483755572040304994079820246041491/56786730, hence 60 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, 56786730);

# Alternative: # according to Robert Israel code in A282773

with(numtheory): filter:= n ->

select(isprime, map(`+`, divisors(n), 1)) = {2, 3, 5, 7, 11, 13, 31, 61}:

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: A145411 A248708 A184890 * A113424 A009564 A269762

Adjacent sequences:  A295595 A295596 A295597 * A295599 A295600 A295601

KEYWORD

nonn,easy

AUTHOR

Paolo P. Lava, Nov 24 2017

STATUS

approved

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Last modified October 20 10:21 EDT 2021. Contains 348100 sequences. (Running on oeis4.)