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arXiv · 1912.13338

On the $8$ case of Sylvester Conjecture

Hongbo Yin
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Abstract

Let $p\equiv 8\mod 9$ be a prime. In this paper we give a sufficient condition such that at least one of $p$ and $p^2$ is the sum of two rational cubes. This is the first general result on the $8$ case of the so-called Sylvester conjecture.

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Hongbo Yin. 2021-09-16. On the $8$ case of Sylvester Conjecture. https://arxiv.org/abs/1912.13338

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