N Positive Integers Whose Product is Equal to M-Times of their Sum

Abstract

In this article, the problem proposed by Hitesh Jain (2014) has been solved and generalized. Introduction: Recently,Hitesh Jain (2014), presented an open problem that for each positive integer , find N positive integers (not necessarily distinct) whose sum is equal to their roduct. In this article, the above problem has been generalized. It is presented and solved that the product of N positive integers (not necessarily distinct) is M-times of their sum.