MathDB

N7

Part of 2018 Pan-African Shortlist

Problems(1)

2018 PAMO Shortlist: Diophantine equation $(x^2 + y^2)^n = (xy)^{2018}$

Source: 2018 Pan-African Shortlist - N7

5/6/2019
Find all non-negative integers nn for which the equation (x2+y2)n=(xy)2018 {\left( x^2 + y^2 \right)}^n = {(xy)}^{2018} admits positive integral solutions.
number theoryDiophantine equation