MathDB

5

Part of 2018 Finnish National High School Mathematics Comp

Problems(1)

diophantine x^{2018}-y^{2018}=(xy)^{2017} for non-negative integers

Source: Finland 2018, p5

9/8/2019
Solve the diophantine equation x2018āˆ’y2018=(xy)2017x^{2018}-y^{2018}=(xy)^{2017} when xx and yy are non-negative integers.
number theoryDiophantine equationdiophantine