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.
Citation
Andrej Dujella. Vinko Petričcević. "Strong Diophantine Triples." Experiment. Math. 17 (1) 83 - 89, 2008.
Information
Published: 2008
First available in Project Euclid: 18 November 2008
zbMATH: 1218.11029
MathSciNet: MR2410118
Subjects:
Primary:
11D09
Secondary:
11G05
,
11Y50
Keywords:
Diophantine triples
,
Elliptic curves
Rights: Copyright © 2008 A K Peters, Ltd.
