MathDB
Solve x^3 - y^3 = 2xy + 8 in Z

Source: IMO LongList 1982 - P7

October 28, 2010
LaTeXmodular arithmeticalgorithmfloor functionnumber theorygreatest common divisorEuclidean algorithm

Problem Statement

Find all solutions (x,y)Z2(x, y) \in \mathbb Z^2 of the equation x3y3=2xy+8.x^3 - y^3 = 2xy + 8.