MathDB
z + y² + x³ = xyz , x = gcd(y,z)

Source: IMO Shortlist 1995, N4

January 6, 2005
algebranumber theoryequationgreatest common divisorIMO Shortlist

Problem Statement

Find all x,y x,y and z z in positive integer: z \plus{} y^{2} \plus{} x^{3} \equal{} xyz and x \equal{} \gcd(y,z).
Back to ProblemsView on AoPS