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A295593 Numbers k such that Bernoulli number B_{k} has denominator 230010. 1
80, 160, 320, 13360, 17840, 18160, 20560, 25360, 26720, 28240, 30640, 35680, 36320, 36560, 41120, 43280, 45520, 46960, 50720, 52880, 56480, 60080, 61280, 69040, 70960, 71360, 72560, 72640, 79280, 84080, 87760, 91040, 92240, 93040, 93680, 93920, 94480, 97040, 97360 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

230010 = 2*3*5*11*17*41.

All terms are multiples of a(1) = 80.

For these numbers numerator(B_{k}) mod denominator(B_{k}) = 182293.

LINKS

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

EXAMPLE

Bernoulli B_{80} is

-4603784299479457646935574969019046849794257872751288919656867/230010, hence 80 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, 230010);

# Alternative: # according to Robert Israel code in A282773

with(numtheory): filter:= n ->

select(isprime, map(`+`, divisors(n), 1)) = {2, 3, 5, 11, 17, 41}:

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: A107931 A234134 A134769 * A043332 A023702 A031460

Adjacent sequences:  A295590 A295591 A295592 * A295594 A295595 A295596

KEYWORD

nonn,easy

AUTHOR

Paolo P. Lava, Nov 24 2017

STATUS

approved

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Last modified October 2 23:51 EDT 2022. Contains 357230 sequences. (Running on oeis4.)