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Search: id:A066726
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| A066726 |
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Numbers n such that binomial(2n, n) - 1 is prime. |
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+0
16
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| 2, 3, 5, 9, 15, 29, 43, 51, 113, 184, 213, 222, 267, 279, 369, 402, 441, 603, 812, 839, 902, 1422, 1542, 1824, 2983, 3065, 3911, 3958, 4192, 4587, 4865, 5543, 5837, 7902, 9299, 9722, 10412, 10648, 11498, 12803, 14428, 15876
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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I.e., numbers n such that (2*n)!/(n!)^2-1 is prime. - Hugo Pfoertner (hugo(AT)pfoertner.org), Sep 25 2005
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MATHEMATICA
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Do[ If[ PrimeQ[ Binomial[2n, n] - 1], Print[n]], {n, 1, 2000} ]
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CROSSREFS
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Cf. A066699, A085793.
Cf. A092751 = primes of the form (2*n)!/(n!)^2-1, A112853 = (2*n)!/n!-1 is prime, A112855 = (2*n)!/n!+1 is prime, A112859 = (2*n)!/(n!)^2+1 is prime, A112861 = (2*n)!/(2*(n!)^2)-1 is prime, A112863 = (2*n)!/(2*(n!)^2)+1 is prime. - Hugo Pfoertner (hugo(AT)pfoertner.org), Sep 25 2005
Sequence in context: A060013 A092424 A167510 this_sequence A124642 A011826 A119968
Adjacent sequences: A066723 A066724 A066725 this_sequence A066727 A066728 A066729
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 15 2002
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EXTENSIONS
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More terms from Ed Pegg Jr (ed(AT)mathpuzzle.com), Sep 10 2003
Edited by N. J. A. Sloane (njas(AT)research.att.com), Aug 23 2008 at the suggestion of R. J. Mathar
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