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Smarandache function

From Encyclopedia of Mathematics
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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 .

References

[a1] F. Smarandache, "A function in number theory" Smarandache Function J. , 1 (1990) pp. 3–65
How to Cite This Entry:
Smarandache function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Smarandache_function&oldid=50070
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article