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arXiv · 1306.5257

Sum of Cubes is Square of Sum

Edward Barbeau·Samer Seraj
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Abstract

Inspired by the fact that the sum of the cubes of the first $n$ naturals is equal to the square of their sum, we explore, for each $n$, the Diophantine equation representing all non-trivial sets of $n$ integers with this property. We find definite answers to the standard question of infinitude of the solutions as well as several other surprising results.

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Edward Barbeau, Samer Seraj. 2013-06-21. Sum of Cubes is Square of Sum. https://arxiv.org/abs/1306.5257

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