孪生素数猜想与哥德巴赫猜想的证明
综合数学
2019-07-30 v7
摘要
利用每个整数在素数下的模剩余，并为创建模签名而区分核心种子素数与非核心种子素数，将唯一的数值序列（称为模签名）与每个正整数相关联。在素数阶乘内对模签名进行分组。运用初等筛性质与组合原理证明孪生素数猜想与哥德巴赫猜想。
引用
@article{arxiv.1901.09668,
title = {Proofs of the Twin Primes and Goldbach Conjectures},
author = {T. J. Hoskins},
journal= {arXiv preprint arXiv:1901.09668},
year = {2019}
}
备注
v2 adds a theorem on uniqueness of modular signatures, adds a table to illustrate primorial stacking, edits text for clarification, and corrects a footnote v3 modifies the wording of Corollary 3.2 and changes the proof; v5 adds a section on managing the product factor, along with two lemmas; v7 adds theorems on the existence of primes within primorials and a proof of the Goldbach conjecture