id:A067663 - OEIS Search Results

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Sequence gives values of GCD(k!+1,k^k-1) when not equal to 1.

+0
1

2, 3, 5, 11, 7, 19, 11, 13, 17, 19, 43, 23, 401, 29, 31, 67, 37, 41, 43, 47, 53, 59, 61, 131, 67, 71, 73, 79, 163, 83, 89, 179, 97, 101, 103, 107, 109, 113, 227, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 347, 179, 181, 191, 193, 197, 199, 419, 211, 443, 223 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Sequence appears to contain each prime number once or twice.`
	FORMULA	`For some even k : GCD(k!+1, k^k-1)=k+1 for some odd k : GCD(k!+1, k^k-1)=2k+1 but for k=25 GCD(k!+1, k^k-1)=16k+1 or k=788 GCD(k!+1, k^k-1)=6*k+1`
	CROSSREFS	`Sequence in context: A101595 A084331 A084333 this_sequence A112037 A087583 A111214` `Adjacent sequences: A067660 A067661 A067662 this_sequence A067664 A067665 A067666`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 03 2002`

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Last modified December 4 23:11 EST 2009. Contains 170347 sequences.

AT&T Labs Research