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Inter solution:$m^2+n^2=m^3$

Source: Bangladesh National Mathematical Olympiad 2015

February 26, 2019
number theoryBdmocontest problemContest PreparationIntegersolutions

Problem Statement

BdMO National Higher Secondary Problem 3
Let NN be the number if pairs of integers (m,n)(m,n) that satisfies the equation m2+n2=m3m^2+n^2=m^3 Is NN finite or infinite?If NN is finite,what is its value?
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