id:A096292 - OEIS Search Results

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Primes p such that p!-1 is divisible by the next prime larger than p.

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3, 5, 11, 17, 29, 41, 59, 71, 101, 107, 137, 149, 179, 191, 197, 227, 239, 269, 281, 311, 347, 419, 431, 461, 521, 569, 599, 617, 641, 659, 809, 821, 827, 857, 881, 1019, 1031, 1049, 1061, 1091, 1151, 1229, 1277, 1289, 1301, 1319, 1427, 1451, 1481, 1487, 1607 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`This sequence includes A001359 as a subset, since the lesser of twin primes always satisfy this relation. The smallest number in this sequence that is not in A001359 is 7841. The only other known differences are 594278556271608991 and 4259842839142238791410741595983041626644087433.`
	LINKS	`Carlos Rivera, Puzzle 270.`
	EXAMPLE	`17 is here because 17!-1 is divisible by 19 and 19 is the next prime larger than 17.`
	CROSSREFS	`Cf. A001359.` `Sequence in context: A078859 A054799 A001359 this_sequence A078864 A023218 A073022` `Adjacent sequences: A096289 A096290 A096291 this_sequence A096293 A096294 A096295`
	KEYWORD	`nonn`
	AUTHOR	`Stuart Gascoigne (stuart.g(AT)scoigne.com), Jun 24 2004`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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