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arXiv · 2510.08286

On Arithmetic Progressions and a Proof of the Nonexistence of Magic Squares of Squares

Oscar Hill
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Abstract

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.

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Oscar Hill. 2025-10-09. On Arithmetic Progressions and a Proof of the Nonexistence of Magic Squares of Squares. https://arxiv.org/abs/2510.08286

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