• Corpus ID: 119130221

# Newer sums of three cubes

@article{Huisman2016NewerSO,
author={Sander G. Huisman},
journal={arXiv: Number Theory},
year={2016}
}
• S. Huisman
• Published 26 April 2016
• Mathematics
• arXiv: Number Theory
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.
6 Citations
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• Mathematics
Proceedings of the National Academy of Sciences
• 2021
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We propose a new algorithm, call S.A.M to determinate the existence of the solutions for the equation x 3 + y 3 + z 3 = n for a ﬁxed value n > 0 unknown.

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