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arXiv · 1802.00291

Strong Eulerian triples

Andrej Dujella·Ivica Gusić·Vinko Petričević·Petra Tadić
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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.

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Andrej Dujella, Ivica Gusić, Vinko Petričević, Petra Tadić. 2018-02-01. Strong Eulerian triples. https://doi.org/10.3336/gm.53.1.03

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