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A189683
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Irregular pairs (p,2k) ordered by increasing k.
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6
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691, 12, 3617, 16, 43867, 18, 283, 20, 617, 20, 131, 22, 593, 22, 103, 24, 2294797, 24, 657931, 26, 9349, 28, 362903, 28, 1721, 30, 1001259881, 30, 37, 32, 683, 32, 305065927, 32, 151628697551, 34, 26315271553053477373, 36, 154210205991661, 38, 137616929, 40
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OFFSET
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1,1
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COMMENTS
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The subsequence of irregular primes p is A046753.
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..132
B. Mazur, How can we construct abelian Galois extensions of basic number fields?, Bull. Amer. Math. Soc., 48 (2011), 155-209. See footnote 64 on p. 205.
Wikipedia, Irregular_pairs
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MATHEMATICA
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Flatten[Table[p = Select[First /@ FactorInteger[Abs[Numerator[BernoulliB[n]]]], # >= n+3 &]; Transpose[{p, Table[n, {Length[p]}]}], {n, 2, 70, 2}]] (* T. D. Noe, Apr 25 2011 *)
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CROSSREFS
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Cf. A000367, A000928, A035112, A046753, A189684, A189685.
Sequence in context: A001067 A141590 A046988 * A029825 A180320 A159283
Adjacent sequences: A189680 A189681 A189682 * A189684 A189685 A189686
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KEYWORD
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nonn
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AUTHOR
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Jonathan Sondow, Apr 25 2011
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STATUS
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approved
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