Fruit Diophantine Equation

Abstract

We show that the Diophantine equation given by X^3+ XYZ = Y^2+Z^2+5 has no integral solution. As a consequence, we show that the family of elliptic curve given by the Weierstrass equations Y^2-kXY = X^3 - (k^2+5) has no integral point.

3 pages, couple of typos fixed

Cited by in corpus (1)

• Diophantine equations: a systematic approach