id:A085793 - OEIS Search Results

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Numbers n such that (n-1)*binomial(2n,n) + 1 is prime.

+0
3

2, 3, 4, 5, 6, 7, 9, 13, 17, 18, 22, 23, 28, 31, 48, 49, 52, 80, 99, 167, 201, 295, 372, 381, 391, 638, 653, 720, 779, 887, 1047, 1454, 1647, 1719, 2405, 3234, 3257, 3542, 3623, 3765, 3796, 4337, 4490, 5228, 6507, 8544, 9990, 10000, 12478, 13479, 15487, 17115 (list; graph; listen)

	OFFSET	`1,1`
	LINKS	`Ed Pegg Jr, Binomial Primes.`
	EXAMPLE	`9999 * 20000!/(10000!)^2 + 1 is prime`
	MATHEMATICA	`Do[If[PrimeQ[(a - 1)Binomial[2 a, a] + 1], a >>> "C:\prime.txt"], {a, 1, 30000}]`
	CROSSREFS	`Cf. A066699, A066726.` `Sequence in context: A098132 A017900 A005708 this_sequence A143286 A160339 A033072` `Adjacent sequences: A085790 A085791 A085792 this_sequence A085794 A085795 A085796`
	KEYWORD	`nonn`
	AUTHOR	`Ed Pegg Jr (ed(AT)mathpuzzle.com), Jul 23 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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