On Arithmetic Progressions and a Proof of the Nonexistence of Magic Squares of Squares
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915918393638912 |
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| author | Hill, Oscar |
| author_facet | Hill, Oscar |
| contents | We explore some of the properties of consecutive, equally-summed arithmetic progressions of odd numbers, particularly their offsets and sums, before using them to prove that no $3\times3$ magic squares of distinct square integers exist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08286 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Arithmetic Progressions and a Proof of the Nonexistence of Magic Squares of Squares Hill, Oscar General Mathematics We explore some of the properties of consecutive, equally-summed arithmetic progressions of odd numbers, particularly their offsets and sums, before using them to prove that no $3\times3$ magic squares of distinct square integers exist. |
| title | On Arithmetic Progressions and a Proof of the Nonexistence of Magic Squares of Squares |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2510.08286 |