id:A084705 - OEIS Search Results

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Smallest prime p such that 2^n*p + 1 is a prime.

+0
2

2, 2, 3, 2, 7, 3, 3, 2, 3, 23, 13, 29, 3, 5, 7, 2, 37, 53, 3, 11, 7, 11, 37, 71, 73, 5, 7, 17, 13, 23, 3, 239, 43, 113, 163, 59, 3, 89, 349, 5, 97, 3, 73, 11, 67, 101, 19, 101, 61, 23, 7, 17, 7, 233, 127, 5, 541, 29, 103, 71, 31, 53, 109, 179, 163, 71, 3, 929, 31, 23, 193, 101, 127 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`a(4) = 7 as 167 + 1 = 113 is a prime but 162 + 1= 33, 163+1 =49 and 165+1= 81 are not.`
	MATHEMATICA	`Do[k = 1; While[ !PrimeQ[ 2^n*Prime[k] + 1], k++ ]; Print[ Prime[k]], {n, 0, 72}]`
	CROSSREFS	`Cf. A084706.` `Cf. A051886. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 17 2008]` `Sequence in context: A156098 A015996 A092976 this_sequence A141652 A117754 A015999` `Adjacent sequences: A084702 A084703 A084704 this_sequence A084706 A084707 A084708`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 09 2003`
	EXTENSIONS	`Edited, corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 15 2003`

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

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