On the 8 case of Sylvester Conjecture

2019/12/31 by Hongbo Yin, Yin, Hongbo
Computer Science · Engineering · Mathematics · #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #Primary 11G05 #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1912.13338

openalex publication_date 2019/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p≡ 8\mod 9 be a prime. In this paper we give a sufficient condition such that at least one of p and p² 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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