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arXiv · 1511.07424

Gaussian integer solutions for the fifth power taxicab number problem

Geoffrey B Campbell·Aleksander Zujev
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Abstract

The famous open problem of finding positive integer solutions to $a^5 + b^5 = c^5 + d^5$ is considered, and related solutions are found in two distinct settings: firstly, where $a$ and $b$ are both positive integers with $c$ and $d$ both Gaussian integers; secondly, where all of $a$, $b$, $c$, and $d$ are Gaussian integers.

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Geoffrey B Campbell, Aleksander Zujev. 2015-11-21. Gaussian integer solutions for the fifth power taxicab number problem. https://arxiv.org/abs/1511.07424

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