A066727 - OEIS

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A066727

Least factor of n^Phi(n) -1.

0, 1, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 7, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 17, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 13, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 7, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,3`
	COMMENTS	`n^Phi(n)-1 is never prime. This sequence is an outgrowth of Euler's generalization to Fermat's little theorem.`
	MATHEMATICA	`a = {}; Do[ a = Append[a, FactorInteger[ n^EulerPhi[n] - 1, FactorComplete -> False][[1, 1]]], {n, 1, 100}]; a`
	CROSSREFS	`Cf. A066699.` `Sequence in context: A098668 A112763 A093476 * A076606 A056927 A094290` `Adjacent sequences: A066724 A066725 A066726 * A066728 A066729 A066730`
	KEYWORD	`nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 15 2002`

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Last modified February 15 12:21 EST 2012. Contains 205785 sequences.