## Experimental Mathematics

### Strong Diophantine Triples

#### Abstract

We prove that there exist infinitely many triples $a,b,c$ of nonzero rational numbers with the property that $a^2+1$, $b^2+1$, $c^2+1$, $ab+1$, $ac+1$, and $bc+1$ are perfect squares.

#### Article information

Source
Experiment. Math., Volume 17, Issue 1 (2008), 83-89.

Dates
First available in Project Euclid: 18 November 2008