k^2+2kn+m^2 is a perfect square
Source: Indonesia Mathematics Olympiad 2007 Day 2 Problem 8
June 2, 2008
number theory proposednumber theory
Problem Statement
Let and be two positive integers. If there are infinitely many integers such that k^2\plus{}2kn\plus{}m^2 is a perfect square, prove that m\equal{}n.