A Trivial Note Concerning p and n!, where p is Prime ≥ n + 1 and n is an Integer ≥ 1

Authors

  • Gilbert A. Ikorong Centre De Calcul; D'Enseignement Et De Recherche; Universite' de Paris VI

Abstract

We show that if n is an integer 1 and if p is a prime n + 1, then for every integer ksuch that 1 k n, p does not divide k!; where k! = 1 :::: k; in particular, if p is a prime n + 1,then the greatest common divisor of p and n! is 1 and therefore p does not divide n!.

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Published

2015-10-24

Issue

Vol. 3 No. 5 (2015): October 2015

Section

Articles

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How to Cite

A Trivial Note Concerning p and n!, where p is Prime ≥ n + 1 and n is an Integer ≥ 1. (2015). Asian Journal of Fuzzy and Applied Mathematics, 3(5). https://ajouronline.com/index.php/AJFAM/article/view/2634