The On-Line Encyclopedia of Integer Sequences (OEIS)

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A092230

Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 37, the first irregular prime.
(history; published version)

#9 by Susanna Cuyler at Sun Aug 22 00:14:24 EDT 2021

STATUS

proposed

approved

#8 by Jon E. Schoenfield at Sat Aug 21 20:45:14 EDT 2021

STATUS

editing

proposed

#7 by Jon E. Schoenfield at Sat Aug 21 20:45:12 EDT 2021

NAME

Numbers n k such that the numerator of Bernoulli(2n2k) is divisible by the square of 37 squared, , the first irregular prime.

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BernoulliNumber.html">Bernoulli Number.</a>.

STATUS

approved

editing

#6 by R. J. Mathar at Fri Jan 11 14:12:58 EST 2013

STATUS

editing

approved

#5 by R. J. Mathar at Fri Jan 11 14:12:55 EST 2013

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BernoulliNumber.html">Link to a section of The World of MathematicsBernoulli Number.</a>.

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 17:30:59 EDT 2012

AUTHOR

_Robert G. Wilson v (rgwv(AT)rgwv.com), _, Feb 25 2004

Discussion

Fri Mar 30

17:30

OEIS Server: https://oeis.org/edit/global/156

#3 by Russ Cox at Fri Mar 30 17:22:32 EDT 2012

EXTENSIONS

More terms from _T. D. Noe (noe(AT)sspectra.com), _, Feb 26 2004

Discussion

Fri Mar 30

17:22

OEIS Server: https://oeis.org/edit/global/120

#2 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

LINKS

E. W. Eric Weisstein, 's World of Mathematics, <a href="http://mathworld.wolfram.com/BernoulliNumber.html">Link to a section of The World of Mathematics.</a>.

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Sat Jun 12 03:00:00 EDT 2004

NAME

Numbers n such that numerator of Bernoulli(2n) is divisible by 37 squared, the first irregular prime.

DATA

142, 592, 808, 1258, 1369, 1474, 1924, 2140, 2590, 2738, 2806, 3256, 3472, 3922, 4107, 4138, 4588, 4804, 5254, 5470, 5476, 5920, 6136, 6586, 6802, 6845, 7252, 7468, 7918, 8134, 8214, 8584, 8800, 9250, 9466, 9583, 9916, 10132, 10582, 10798, 10952, 11248

OFFSET

1,1

LINKS

E. W. Weisstein, <a href="http://mathworld.wolfram.com/BernoulliNumber.html">Link to a section of The World of Mathematics.</a>.

FORMULA

See A090789.

MATHEMATICA

Select[ Range[ 5780], Mod[ Numerator[ BernoulliB[2# ]], 37^2] == 0 &]

CROSSREFS

Equals A090789/2. Cf. A000928, A091216.

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 25 2004

EXTENSIONS

More terms from T. D. Noe (noe(AT)sspectra.com), Feb 26 2004

STATUS

approved