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Search: id:A092291
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| A092291 |
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Let p = n-th irregular prime, A000928(n). Then a(n) = smallest value of m such that numerator(Bernoulli(2*m)/(2*m)) / numerator(Bernoulli(2*m)/(2*m*(2*m-1))) equals p. |
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+0
4
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| 574, 1269, 1910, 3384, 1185, 1376, 9611, 4789, 9670, 20946, 13019, 11247, 2689, 22708, 13355, 45251, 48407, 32653, 18761, 38706, 76391, 25563, 50310, 79023, 44948, 29864, 21716, 71441, 104339, 22993, 73572, 61549, 14714, 26122, 6227, 179369, 159687, 5862, 132157, 24925, 76023, 15346, 73479, 136956, 212240, 10587, 3801, 137040, 108520, 194171, 98550, 282532, 87272, 133081, 220187, 305002, 41764, 27268, 380180, 70921, 184940, 241076, 73858, 80108, 250927
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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It was conjectured that a(n) = (1 + A000928(n) * (A035112(n) - 1))/2. However, Bernd Kellner's insightful paper shows that this formula first fails for the irregular prime 6449. - T. D. Noe (noe(AT)sspectra.com), Feb 10 2004
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LINKS
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Bernd Kellner, A conjecture about numerators of Bernoulli numbers
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CROSSREFS
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Term in A090495 corresponding to first occurrence of p in A090496.
Sequence in context: A144956 A049361 A090495 this_sequence A158371 A066154 A027456
Adjacent sequences: A092288 A092289 A092290 this_sequence A092292 A092293 A092294
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), based on a suggestion of Roland Bacher (Roland.Bacher(AT)ujf-grenoble.fr), Feb 05 2004
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EXTENSIONS
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Initial terms were computed by Roland Bacher, Feb 04 2004; further terms from Hans Havermann (pxp(AT)rogers.com), Feb 05 2004 and T. D. Noe (noe(AT)sspectra.com), Feb 06 2004
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