MathDB
if m+n-1|m^2+n^2-1 then m+n-1 is nonprime

Source: Moldova 2000 Grade 8 P3

April 24, 2021
number theory

Problem Statement

Suppose that m,n≥2m,n\ge2 are integers such that m+n−1m+n-1 divides m2+n2−1m^2+n^2-1. Prove that the number m+n−1m+n-1 is not prime.
Back to ProblemsView on AoPS