id:A057217 - OEIS Search Results

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a(n) = smallest integer k such that 1+n*k! is a prime.

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1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 4, 2, 2, 1, 2, 4, 3, 2, 3, 1, 2, 1, 7, 3, 2, 6, 2, 1, 3, 3, 2, 1, 2, 1, 4, 2, 3, 1, 3, 2, 5, 2, 2, 1, 2, 2, 3, 2, 5, 1, 11, 1, 3, 3, 2, 5, 2, 1, 4, 2, 2, 1, 5, 1, 3, 2, 2, 3, 3, 1, 14, 5, 2, 1, 2, 4, 7, 2, 3, 1, 2, 2, 3, 8, 5, 7, 2, 1, 11, 2, 2, 1, 3, 1, 3 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n)=Min{k\|1+nk! is prime}`
	EXAMPLE	`n=7, 1+7.k!={8,15,43,169,...}. The smallest k which gives prime is 3 and the prime so obtained is 43. n=267, the smallest k! is 31! for which 1+267*k! is prime and the prime so obtained is 65782709233423382541804503040000001`
	CROSSREFS	`Sequence in context: A077480 A059829 A076558 this_sequence A147810 A055181 A073811` `Adjacent sequences: A057214 A057215 A057216 this_sequence A057218 A057219 A057220`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Sep 27 2000`

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.

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