Given a positive integer n, the definition of the famous Smarandache function is: S(n) = min{m : m∈N, n|m!}. The main purpose of this paper is to study the value distribution of the Smarandache function by using the elementary method, and give some interesting asymptotic formulae.
Zhe Feng XU.
On the Value Distribution of the Smarandache Function. Acta Mathematica Sinica, Chinese Series, 2006, 49(5): 1009-101 https://doi.org/10.12386/A2006sxxb0124