High Quality Content by WIKIPEDIA articles! In mathematics, Thue equation is a Diophantine equation of the form: (x,y) = r, where is an irreducible bivariate form of degree at least 3 over the rational numbers, and r is a nonzero rational number. It is named after Axel Thue who in 1909 proved a theorem, now called Thue's theorem, that Thue equation has finitely many solutions in integers x and y. Solving Thue equation can be described as an algorithm ready for implementation in software.