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A092224 Numbers k such that the numerator of Bernoulli(2*k) is divisible by 103, the fifth irregular prime. 10
12, 63, 103, 114, 165, 206, 216, 267, 309, 318, 369, 412, 420, 471, 515, 522, 573, 618, 624, 675, 721, 726, 777, 824, 828, 879, 927, 930, 981, 1030, 1032, 1083, 1133, 1134, 1185, 1236, 1287, 1338, 1339, 1389, 1440, 1442, 1491, 1542, 1545, 1593, 1644, 1648 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
103 = A094095(1) is the first irregular prime in A094095. This sequence is the union of 2 arithmetic progressions: (24 + 102*n)/2 and 103*n. Note that the numerator of BernoulliB(2*114) is divisible by the first nontrivial irregular squared prime 103^2, when A090943(1)/2 = a(n) = 114 = (24 + 102*2)/2. Also, the numerator of BernoulliB(2*1236) is divisible by 103^2 because a(n) = 1236 = (24 + 102*24)/2 = 103*24/2. - Alexander Adamchuk, Jul 31 2006
LINKS
Eric Weisstein's World of Mathematics, Bernoulli Number.
MATHEMATICA
Select[ Range[ 1694], Mod[ Numerator[ BernoulliB[2# ]], 103] == 0 &]
Select[Union[Table[2n*103, {n, 1, 100}], Table[24+102*n, {n, 0, 100}]], #<=10000&]/2 (* Alexander Adamchuk, Jul 31 2006 *)
CROSSREFS
Sequence in context: A196285 A196335 A349159 * A335252 A212509 A212249
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Feb 25 2004
STATUS
approved

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)