MathDB
Sum of 2 certain square is not a prime

Source: Indonesia Mathematics Olympiad 2004 Day 2 Problem 2

October 22, 2009
quadraticsVietaalgebra

Problem Statement

Quadratic equation x^2\plus{}ax\plus{}b\plus{}1\equal{}0 have 2 positive integer roots, for integers a,b a,b. Show that a^2\plus{}b^2 is not a prime.