Figurate primes and Hilbert's 8th problem
Number Theory
2014-06-24 v1
Abstract
In this paper, by using the theory of elliptic curves, we discuss several Diophantine equations related with the so-called figurate primes. Meanwhile, we raise several conjectures related with figurate primes and Hilbert's 8th problem, including Goldbach's conjecture, twin primes conjecture and Catalan's conjecture as well.
Cite
@article{arxiv.1406.5661,
title = {Figurate primes and Hilbert's 8th problem},
author = {Tianxin Cai and Yong Zhang and Zhongyan Shen},
journal= {arXiv preprint arXiv:1406.5661},
year = {2014}
}
Comments
7 pages, 1 figure