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A295599 Numbers k such that Bernoulli number B_{k} has denominator 140100870. 1
72, 12024, 22824, 25416, 31608, 39384, 52776, 61848, 78984, 90648, 93672, 93816, 107496, 117864, 123912, 124056, 125784, 143784, 147816, 150408, 156888, 161064, 161208, 163368, 165384, 166248, 170712, 178056, 180216, 188424, 191304, 193608, 197928, 199944, 204696 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

140100870 = 2*3*5*7*13*19*37*73.

All terms are multiples of a(1) = 72.

For these numbers numerator(B_{k}) mod denominator(B_{k}) = 91560011.

LINKS

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

EXAMPLE

140100870 = 2*3*5*7*13*19*37*73.

Bernoulli B_{72} is

-5827954961669944110438277244641067365282488301844260429/140100870, hence 72 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, 140100870);

# Alternative: # according to Robert Israel code in A282773

with(numtheory): filter:= n ->

select(isprime, map(`+`, divisors(n), 1)) = {2, 3, 5, 7, 13, 19, 37, 73}:

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: A271193 A289369 A048544 * A270254 A273629 A243234

Adjacent sequences:  A295596 A295597 A295598 * A295600 A295601 A295602

KEYWORD

nonn,easy

AUTHOR

Paolo P. Lava, Nov 24 2017

STATUS

approved

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Last modified October 26 08:00 EDT 2021. Contains 348267 sequences. (Running on oeis4.)