MathCastle
Proof Writing & Problem SolvingSuperchallenge

Proof Writing & Problem Solving · Superchallenge problem

Positive integers m,n≤1000m, n \le 1000 satisfy (m2−mn−n2)2=1(m^2 - mn - n^2)^2 = 1. What is the largest possible value of m2+n2m^2 + n^2?

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