m+n+1 divides 2(m^2+n^2)-1
Source: Swiss Math Olympiad 2010 - final round, problem 7
March 16, 2010
number theory proposednumber theory
Problem Statement
Let , be natural numbers such that m\plus{}n\plus{}1 is prime and divides 2(m^2\plus{}n^2)\minus{}1.
Prove that m\equal{}n.