Smarandache function

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Given a natural number , the value of the Smarandache function at is the smallest natural number such that divides . An elementary observation is that , and that if and only if is a prime number or equal to .


[a1] F. Smarandache, "A function in number theory" Smarandache Function J. , 1 (1990) pp. 3–65
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Smarandache function. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article