id:A072937 - OEIS Search Results

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Least k such that prime(n) appears in factorization of k! + 1.

+0
2

2, 4, 3, 5, 12, 16, 9, 14, 18, 30, 36, 40, 21, 23, 52, 15, 8, 18, 7, 72, 23, 13, 88, 96, 100, 6, 106, 86, 112, 63, 65, 16, 16, 50, 150, 156, 81, 166, 172, 89, 180, 95, 102, 196, 99, 210, 222, 61, 228, 64, 210, 240, 97, 31, 131, 9, 93, 40, 280, 282, 45, 63, 220, 312, 91 (list; graph; listen)

	OFFSET	`2,1`
	EXAMPLE	`12!+1 = 13^2*2834329 and 12 is the smallest integer k such that 13 = prime(6) appears in k!+1 factorization, hence a(6)=12`
	PROGRAM	`(PARI) a(n)=if(n<0, 0, s=1; while((s!+1)%prime(n)>0, s++); s)`
	CROSSREFS	`Sequence in context: A100826 A093416 A073944 this_sequence A129509 A015049 A057956` `Adjacent sequences: A072934 A072935 A072936 this_sequence A072938 A072939 A072940`
	KEYWORD	`easy,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 20 2002`

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Last modified March 15 12:29 EDT 2010. Contains 173428 sequences.

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