id:A122380 - OEIS Search Results

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Numbers n such that n^2 > P(n)!, where P(n) is the greatest prime factor of n.

+0
3

2, 3, 4, 6, 8, 9, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60, 64, 72, 75, 80, 81, 84, 90, 96, 98, 100, 105, 108, 112, 120, 125, 126, 128, 135, 140, 144, 147, 150, 160, 162, 168, 175, 180, 189, 192, 196, 200, 210, 216, 224, 225, 240, 243, 245 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`It is conjectured that n^2 < P(n)! for almost all n.`
	REFERENCES	`J. Sondow, A geometric proof that e is irrational and a new measure of its irrationality, Amer. Math. Monthly 113 (2006) 637-641.`
	LINKS	`I ndex entries for sequences related to factorial numbers.` `Eric Weisstein's World of Mathematics, Smarandache Function`
	EXAMPLE	`15^2 = 225 > 120 = 5! = P(15)!, so 15 is a member.`
	CROSSREFS	`Cf. A000290, A006530, A057109, A102068, A122378, A122379.` `Sequence in context: A116621 A036407 A145807 this_sequence A033501 A097273 A006446` `Adjacent sequences: A122377 A122378 A122379 this_sequence A122381 A122382 A122383`
	KEYWORD	`nonn`
	AUTHOR	`Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Sep 03 2006`

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.

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