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A281502 Numbers n such that numerator of Bernoulli(2n) is divisible by 691. 0
6, 100, 351, 445, 691, 696, 790, 1041, 1135, 1382, 1386, 1480, 1731, 1825, 2073, 2076, 2170, 2421, 2515, 2764, 2766, 2860, 3111, 3205, 3455, 3456, 3550, 3801, 3895, 4146, 4240, 4491, 4585, 4836, 4837, 4930, 5181, 5275, 5526, 5528, 5620, 5871, 5965 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

6 + 345*k and 100 + 345*k are terms for k >= 0.

LINKS

Table of n, a(n) for n=1..43.

Eric Weisstein's World of Mathematics, Bernoulli Number

Wikipedia, Kummer's congruences

The Bernoulli Number Page, www.bernoulli.org

FORMULA

a(n) = A119864(n)/2.

EXAMPLE

Bernoulli(2*6) = -691/2730. So 6 is a term.

MATHEMATICA

Select[Range[4930], Mod[Numerator[BernoulliB[2#]],  691] == 0 &] (* Indranil Ghosh, Mar 11 2017 *)

PROG

(PARI) is(n) = Mod(numerator(bernfrac(2*n)), 691)==0 \\ Felix Fröhlich, Jan 23 2017

CROSSREFS

Cf. A000928, A091216, A092221 - A092229, A119864.

Sequence in context: A138913 A192667 A127636 * A226413 A226344 A278430

Adjacent sequences:  A281499 A281500 A281501 * A281503 A281504 A281505

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jan 23 2017

EXTENSIONS

a(12) - a(36) from Seiichi Manyama, Jan 24 2017

More terms from Indranil Ghosh, Mar 11 2017

STATUS

approved

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Last modified February 25 14:40 EST 2021. Contains 341609 sequences. (Running on oeis4.)