classical number theory
Source: IMO ShortList 2003, number theory problem 5
May 12, 2004
number theoryPerfect SquaresIMO Shortlist
Problem Statement
An integer is said to be good if is not the square of an integer. Determine all integers with the following property: can be represented, in infinitely many ways, as a sum of three distinct good integers whose product is the square of an odd integer.Proposed by Hojoo Lee, Korea