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Search: id:A066699
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| A066699 |
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Numbers n such that binomial(2n,n)+1 is prime. |
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+0
14
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| 1, 2, 4, 7, 12, 19, 22, 38, 46, 62, 68, 72, 84, 166, 184, 214, 340, 348, 445, 517, 692, 817, 1316, 1381, 2554, 2713, 5261, 6209, 6735, 7920, 8207, 8772, 9530, 13075, 13302, 13405, 15002, 16371, 19346
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Aigner and Ziegler. Proofs from the Book, 2nd edition. Springer-Verlag, 2001.
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EXAMPLE
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C(4,2) + 1 = 7, a prime; so 2 is a term of the sequence.
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MAPLE
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Do[If[PrimeQ[Binomial[2 a, a]+1], a >>>"C:\prime.txt"], {a, 1, 20000}] (from Ed Pegg)
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MATHEMATICA
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Select[Range[1, 5 * 10^2], PrimeQ[Binomial[2* #, # ] + 1] &]
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CROSSREFS
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Cf. A085793, A066726.
Sequence in context: A035300 A035296 A105807 this_sequence A087149 A090853 A103231
Adjacent sequences: A066696 A066697 A066698 this_sequence A066700 A066701 A066702
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KEYWORD
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nonn
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Jan 14 2002
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EXTENSIONS
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More terms (not certified primes) from Jason Earls (zevi_35711(AT)yahoo.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 15 2002
More terms from Ed Pegg Jr (ed(AT)mathpuzzle.com), Sep 10 2003
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