Four squares from three numbers
Number Theory
2025-06-18 v1
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.
Keywords
Cite
@article{arxiv.2506.14013,
title = {Four squares from three numbers},
author = {Andrej Dujella and László Szalay},
journal= {arXiv preprint arXiv:2506.14013},
year = {2025}
}
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4 pages