Writng a number as a sum of three good numbers
Source: Iranian National Olympiad (3rd Round) 2003
January 24, 2009
number theory proposednumber theory
Problem Statement
An integer is called a good number if and only if is not square of another intger. Find all integers such that they can be written in infinitely many ways as sum of three different good numbers and product of these three numbers is square of an odd number.