### References & Citations

# Mathematics > Number Theory

# Title: On the $8$ case of Sylvester Conjecture

(Submitted on 31 Dec 2019 (v1), last revised 16 Sep 2021 (this version, v2))

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.

## Submission history

From: Hongbo Yin [view email]**[v1]**Tue, 31 Dec 2019 15:07:09 GMT (23kb)

**[v2]**Thu, 16 Sep 2021 03:20:43 GMT (27kb)

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