A093621 - OEIS

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A093621

Smallest k>0 such that n!/k!+1 is prime.

1, 1, 1, 1, 2, 2, 4, 2, 2, 4, 3, 1, 5, 2, 3, 4, 2, 3, 5, 19, 10, 3, 5, 4, 5, 7, 5, 1, 6, 21, 2, 9, 15, 15, 13, 10, 27, 1, 4, 37, 14, 1, 4, 2, 34, 5, 8, 18, 24, 2, 13, 5, 11, 35, 48, 11, 7, 48, 27, 21, 30, 5, 43, 7, 4, 46, 13, 24, 16, 60, 12, 34, 5, 1, 38, 14, 28, 1, 10, 24, 50, 5, 3, 42, 40, 28 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,5`
	COMMENTS	`a(A002981(n)) =1.`
	LINKS	`User group for the PrimeForm program.`
	EXAMPLE	`a(39) =37 because 39!/k!+1 is composite for all k=1..36; 39!/37!+1=39*38+1=1483 is prime.`
	PROG	`PrimeForm, see link.`
	CROSSREFS	`Cf. A093437 largest prime of the form n!/k!+1, A002981 n!+1 is prime, A093623 Smallest k>0 such that n!/k!-1 is prime.` `Sequence in context: A069177 A077659 A087692 * A143230 A072301 A127171` `Adjacent sequences: A093618 A093619 A093620 * A093622 A093623 A093624`
	KEYWORD	`nonn`
	AUTHOR	`Hugo Pfoertner (hugo(AT)pfoertner.org), Apr 06 2004`

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Last modified February 17 13:06 EST 2012. Contains 206025 sequences.