id:A127435 - OEIS Search Results

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Primes p such that (p-1)^2 + 1 is prime.

+0
5

2, 3, 5, 7, 11, 17, 37, 41, 67, 127, 131, 151, 157, 181, 211, 241, 251, 257, 271, 281, 307, 397, 401, 421, 431, 467, 491, 557, 571, 577, 647, 691, 701, 751, 761, 827, 907, 911, 937, 947, 967, 1061, 1097, 1151, 1277, 1291, 1307, 1321, 1367, 1567, 1571, 1861 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Consists of 3 and a subsequence of A045349.`
	FORMULA	`a(n) = Sqrt(A127436(n)-1) + 1.`
	MATHEMATICA	`Select[Prime@Range[300], PrimeQ[(# - 1)^2 + 1] &] (Chandler)`
	CROSSREFS	`Cf. For the associated primes, see A127436.` `Sequence in context: A062294 A113016 A085136 this_sequence A068868 A038887 A067904` `Adjacent sequences: A127432 A127433 A127434 this_sequence A127436 A127437 A127438`
	KEYWORD	`nonn`
	AUTHOR	`Lekraj Beedassy (blekraj(AT)yahoo.com), Jan 14 2007`
	EXTENSIONS	`Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 23 2007`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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