A122696 - OEIS

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A122696

Primes of the form ((n-1)!+1)/n.

2, 5, 103, 3298891, 10513391193507374500051862069 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`A007619, Wilson quotients: ((p-1)!+1)/p, is a subsequence. Corresponding numbers n such that ((n-1)!+1)/n is prime are listed in A050299 = {1,5,7,11,29,773,1321,2621,...}. a(6) has 1893 digits. a(7) has 3545 digits. a(8) has 7817 digits.` `Except for a(1) = 2, same as A163212. - Jonathan Sondow, May 20 2013`
	LINKS	`Table of n, a(n) for n=1..5.` `J. Sondow, Lerch Quotients, Lerch Primes, Fermat-Wilson Quotients, and the Wieferich-non-Wilson Primes 2, 3, 14771, in Proceedings of CANT 2011, arXiv:1110.3113`
	FORMULA	`a(n) = A163212(n-1) = (((A050299(n)-1)!+1)/A050299(n). - Jonathan Sondow, May 19 2013`
	CROSSREFS	`A050299 is the main entry for this sequence.` `Cf. A007619, A163212.` `Sequence in context: A208209 A215845 A136106 * A215572 A023263 A070855` `Adjacent sequences: A122693 A122694 A122695 * A122697 A122698 A122699`
	KEYWORD	`nonn,changed`
	AUTHOR	`Alexander Adamchuk, Sep 22 2006`
	EXTENSIONS	`The next term is too large to include.`
	STATUS	`approved`

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Last modified May 22 11:27 EDT 2013. Contains 225528 sequences.