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A272140
Numbers n such that Bernoulli number B_{n} has denominator 1590.
27
52, 104, 988, 1976, 3068, 3172, 5252, 5356, 5564, 6136, 6344, 7124, 7748, 8164, 8684, 10244, 10712, 12532, 13364, 13676, 13988, 14092, 16276, 16328, 17212, 17368, 17524, 18044, 18356, 19084, 19916, 20228, 20488, 20644, 22828, 23348, 23764
OFFSET
1,1
COMMENTS
1590 = 2 * 3 * 5 * 53.
All terms are multiple of a(1) = 52.
For these numbers numerator(B_{n}) mod denominator(B_{n}) = 1507.
LINKS
EXAMPLE
Bernoulli B_{52} is -801165718135489957347924991853/1590, hence 52 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, 1590);
MATHEMATICA
Select[Range[0, 1000], Denominator[BernoulliB[#]] == 1590 &] (* Robert Price, Apr 21 2016 *)
PROG
(PARI) isok(n) = denominator(bernfrac(n)) == 1590; \\ Michel Marcus, Apr 22 2016
KEYWORD
nonn
AUTHOR
Paolo P. Lava, Apr 21 2016
EXTENSIONS
a(12)-a(15) from Michel Marcus, Apr 22 2016
More terms from Altug Alkan, Apr 22 2016
STATUS
approved