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arXiv · 2007.01209

On a question of Mordell

Andrew R. Booker·Andrew V. Sutherland
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Abstract

We make several improvements to methods for finding integer solutions to $x^3+y^3+z^3=k$ for small values of $k$. We implemented these improvements on Charity Engine's global compute grid of 500,000 volunteer PCs and found new representations for several values of $k$, including $k=3$ and $k=42$. This completes the search begun by Miller and Woollett in 1954 and resolves a challenge posed by Mordell in 1953.

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Andrew R. Booker, Andrew V. Sutherland. 2020-07-02. On a question of Mordell. https://doi.org/10.1073/pnas.2022377118

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