Strong Eulerian triples
Number Theory
2018-07-03 v1
Abstract
We prove that there exist infinitely many rationals a, b and c with the property that a^2-1, b^2-1, c^2-1, ab-1, ac-1 and bc-1 are all perfect squares. This provides a solution to a variant of the problem studied by Diophantus and Euler.
Cite
@article{arxiv.1802.00291,
title = {Strong Eulerian triples},
author = {Andrej Dujella and Ivica Gusić and Vinko Petričević and Petra Tadić},
journal= {arXiv preprint arXiv:1802.00291},
year = {2018}
}
Comments
8 pages