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Search: id:A007697
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| A007697 |
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Smallest odd number expressible in at least n ways as p+2m^2 where p is 1 or a prime and m >= 0.
(Formerly M2292)
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+0
5
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| 3, 3, 13, 19, 55, 61, 139, 139, 181, 181, 391, 439, 559, 619, 619, 829, 859, 1069, 1081, 1459, 1489, 1609, 1741, 1951, 2029, 2341, 2341, 3331, 3331, 3331, 3961, 4189, 4189, 4261, 4801, 4801, 5911, 5911, 5911, 6319, 6319, 6319, 8251, 8251, 8251, 8251, 8251
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Moritz A. Stern, Sur un assertion de Goldbach relative aux nombres impairs, Nouvelles Annales Math. 15 (1856), 23-24.
Godfrey Harold Hardy and John Edensor Littlewood, Some problems of `partitio numerorum'; III: On the expression of a number as a sum of primes, Acta Math., 44 (1922), 1-70.
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LINKS
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L. Hodges, A lesser-known Goldbach conjecture, Math. Mag., 66 (1993), 45-47.
Index entries for sequences related to Goldbach conjecture
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CROSSREFS
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Cf. A016067.
Sequence in context: A146020 A145948 A049768 this_sequence A095336 A072552 A019154
Adjacent sequences: A007694 A007695 A007696 this_sequence A007698 A007699 A007700
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KEYWORD
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nonn,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Stern and Hardy-Littlewood references suggested by Ctibor O. Zizka (ctibor.zizka(AT)seznam.cz), Apr 14 2008
Edited by N. J. A. Sloane (njas(AT)research.att.com), May 15 2008 at the suggestion of R. J. Mathar
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