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arXiv · 2506.14013

Four squares from three numbers

Andrej Dujella·László Szalay
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Abstract

We show that there are infinitely many triples of positive integers a, b, c (greater than 1) such that ab + 1, ac + 1, bc + 1 and abc + 1 are all perfect squares.

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Andrej Dujella, László Szalay. 2025-06-16. Four squares from three numbers. https://arxiv.org/abs/2506.14013

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