International Journal of Mathematics and Mathematical Sciences 
Volume 9 (1986), Issue 2, Pages 413-415
doi:10.1155/S0161171286000522

A Diophantine system

Andrew Bremner

 Department of Mathematics, Arizona State University, Tempe 85287, Arizona, USA
Received 20 November 1985

Abstract

It is shown how to find all integers a,b such that a+b, a2+b2 and a3+b3 are simultaneously perfect squares.