Expressing three consecutive integers as sums of three cubes

Ajai Choudhry

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arXiv · 2311.17599

Expressing three consecutive integers as sums of three cubes

Ajai Choudhry

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Abstract

This paper is concerned with the problem of expressing three consecutive integers as sums of three cubes. We give several parametric solutions of the problem. We also give somewhat trivial solutions of five or seven consecutive integers that can expressed as sums of three cubes. We conclude the paper with an open problem regarding four or more consecutive integers expressible as sums of three cubes.

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Ajai Choudhry. 2023-11-29. Expressing three consecutive integers as sums of three cubes. https://arxiv.org/abs/2311.17599

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