Newer sums of three cubes

Sander G. Huisman

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arXiv · 1604.07746

Newer sums of three cubes

Sander G. Huisman

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Abstract

The search of solutions of the Diophantine equation $x^3 + y^3 + z^3 = k$ for $k<1000$ has been extended with bounds of $|x|$, $|y|$ and $|z|$ up to $10^{15}$. The first solution for $k=74$ is reported. This only leaves $k=33$ and $k=42$ for $k<100$ for which no solution has yet been found. A total of 966 new solutions were found.

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Sander G. Huisman. 2016-04-26. Newer sums of three cubes. https://arxiv.org/abs/1604.07746

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