MathDB

x+y^2+z^3 = xyz , where d=gcd(x,y)

Source: Slovenia TST 1998 p4

February 15, 2020

GCDnumber theoryDiophantine equationdiophantine

Problem Statement

Find all positive integers

x

and

y

such that

x+y^2+z^3 = xyz

, where

z

is the greatest common divisor of

x

and

y

Back to Problems View on AoPS