MathDB

2

Part of 2015 Bangladesh Mathematical Olympiad

Problems(1)

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

Source: Bangladesh National Mathematical Olympiad 2015

2/26/2019
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?
number theoryBdmocontest problemContest PreparationIntegersolutions