A generalization of the Smarandache function.
Scientia Magna › Vol. 4 Nbr. 1, January 2008
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A generalization of the Smarandache function.
Abstract For any positive integer n, we define the function P(n) as the smallest prime p such that n | p!. That is, P(n) = min {p : n |p!, where p be a prime}. This function is a generalization of the famous Smarandache function S(n). The main purpose of this paper is using the elementary and analytic methods to study the mean value properties of P(n), and give two interesting...
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