Huaning Liu
Abstract
For any prime number p and positive integer n,let Sp(n) be the smallest integer such that Sp(n)! is divisible by pn.The main purpose of this paper is to study the mean value of this sequence and give a sharp asymptotic formula.
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For any prime number p and positive integer n,let Sp(n) be the smallest integer such that Sp(n)! is divisible by pn.The main purpose of this paper is to study the mean value of this sequence and give a sharp asymptotic formula.
Key concepts: Integer (computer science), Mathematics, Combinatorics, Value (mathematics), Sequence (biology), Mean value, Asymptotic formula, Prime (order theory)