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A295588 Numbers k such that Bernoulli number B_{k} has denominator 14322. 1
30, 1770, 3810, 4170, 4470, 4890, 5910, 5970, 6810, 8070, 9210, 10590, 11370, 11670, 12030, 12990, 13470, 13890, 14370, 14970, 15630, 16890, 17070, 17610, 18510, 18570, 19290, 19410, 20190, 20310, 21270, 22710, 24810, 25710, 26310, 27570, 27870, 29010, 29490, 29730 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

14322 = 2*3*7*11*31.

All terms are multiples of a(1) = 30.

For these numbers numerator(B_{k}) mod denominator(B_{k}) = 12899.

LINKS

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

EXAMPLE

Bernoulli B_{30} is 8615841276005/14322, hence 30 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, 14322);

# Alternative: # according to Robert Israel code in A282773

with(numtheory): filter:= n ->

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

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: A222719 A089550 A007804 * A108298 A202384 A202369

Adjacent sequences:  A295585 A295586 A295587 * A295589 A295590 A295591

KEYWORD

nonn,easy

AUTHOR

Paolo P. Lava, Nov 24 2017

STATUS

approved

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Last modified May 7 02:20 EDT 2021. Contains 343636 sequences. (Running on oeis4.)