# Smarandache function

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## Smarandache function

[‚smär·ən′dä·chē ‚fənk·shən]
(mathematics)
A function η defined on the integers with the property that η(n) is the smallest integer m such that m ! is divisible by n.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Ashbacher, An introduction to the Smarandache function, Erhus Univ.
The pseudo Smarandache function, Z(n), introduced by Kashihara , is as follows:
For any positive integer n, the Smarandache function S(n) can be defined as follows: S(n) is the smallest number, such that S(n)!
This paper as a note of Gou Su's work, we consider the hybrid mean value properties of the Smarandache kn-digital sequence and Smarandache function S(n), which is defined as the smallest positive integer m such that n|m!.
 Du Fengying, On a conjecture of the Smarandache function S(n), 23(2007), No.
The pseudo Smarandache function, denoted by Z(n), has been introduced by Kashihara .
 Wenpeng Zhang and Ling Li, Two problems related to the Smarandache function, Scientia Magna, Vol.
 Charles Ashbacher, Some problems on Smarandache function, Smarandache Notions Journal, Vol.
one obtains the Smarandache function S(n), and its dual S*(n), given by
 F.Mark, NLPatrick, Bounding the Smarandache function, Smarandache Notions Journal, 13(2002), 37-42.
Now we let S(n) be the Smarandache function. That is, S(n) denotes the smallest positive integer m such that n divide m!, or S(n) = min{m : n | m!}.
For any positive integer n, the famous Smarandache function S(n) is defined as the smallest positive integer m such that n | m!.
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