Four squares from three numbers
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866908409315459072 |
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| author | Dujella, Andrej Szalay, László |
| author_facet | Dujella, Andrej Szalay, László |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14013 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Four squares from three numbers Dujella, Andrej Szalay, László Number Theory 11D09 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. |
| title | Four squares from three numbers |
| topic | Number Theory 11D09 |
| url | https://arxiv.org/abs/2506.14013 |