id:A057108 - OEIS Search Results

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Difference between the smallest number S(n) with S(n)! a multiple of n and the largest prime factor of n [taking a(1)=0].

+0
3

0, 0, 0, 2, 0, 0, 0, 2, 3, 0, 0, 1, 0, 0, 0, 4, 0, 3, 0, 0, 0, 0, 0, 1, 5, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 3, 7, 5, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 5, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 7, 0, 5, 0, 0, 0, 0, 0 (list; graph; listen)

	OFFSET	`1,4`
	REFERENCES	`S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 284-292.`
	LINKS	`S. R. Finch, The Average Value of the Smarandache Function`
	FORMULA	`a(n) =A002034(n)-A006530(n)`
	EXAMPLE	`a(12)=1 since 12 is a factor of 4!, 3 is the largest prime factor of 12 and 4-3=1`
	CROSSREFS	`Cf. A057109.` `Sequence in context: A071548 A143063 A054923 this_sequence A063958 A126164 A145007` `Adjacent sequences: A057105 A057106 A057107 this_sequence A057109 A057110 A057111`
	KEYWORD	`easy,nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Aug 08 2000`
	EXTENSIONS	`More terms from James A. Sellers (sellersj(AT)math.psu.edu), Aug 22 2000`

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Last modified December 4 15:11 EST 2009. Contains 170347 sequences.

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