Development of the matrix of primes and proof of an infinite number of primes-twins

2018/04/30 by S. N. Baibekov, Baibekov, S. N., A.A. Dossayeva +1
Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #General Mathematics (math.GM) #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1805.00346

openalex publication_date 2018/04/30 · openalex created_date 2018/05/07 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to the theory of prime numbers. In this paper we first introduce the notion of a matrix of prime numbers. Then, in order to investigate the density of prime numbers in separate rows of the matrix under consideration, we propose a number of lemmas and theorems that, together with the Dirichlet and Euler theorems, make it possible to prove the infinity of prime twins.

Related

• Infinitely many twin primes
• Proof of the Twin Prime Conjecture (Together with the Proof of Polignac's Conjecture for Cousin Primes)
• An infinite set of generators of primes based on the Rowland idea and conjectures concerning twin primes
• The twin prime conjecture
• There are Infinitely Many Pairs of Twin Prime