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Bangladesh Mathematical Olympiad 2020 Final

Source: BdMO Final 2020 Primary Category Problem 1

August 30, 2020
number theory

Problem Statement

A pair of positive integers (m,n)(m,n) is called 'steakmaker' if they maintain the equation 1 + 2m^m = n2^2. For which values of m and n, the pair (m,n)(m,n) are steakmaker, find the sum of mnmn