English

Three theorems on twin primes

Number Theory 2010-01-11 v9

Abstract

For earlier considered our sequence A166944 in [4] we prove three statements of its connection with twin primes. We also give a sufficient condition for the infinity of twin primes and pose several new conjectures; among them we propose a very simple conjectural algorithm of constructing a pair (p,p+2)(p,\enskip p+2) of twin primes over arbitrary given integer m4m\geq4 such that p+2m.p+2\geq m.

Keywords

Cite

@article{arxiv.0911.5478,
  title  = {Three theorems on twin primes},
  author = {Vladimir Shevelev},
  journal= {arXiv preprint arXiv:0911.5478},
  year   = {2010}
}

Comments

17 pages. New section: "A theorem on twin primes which is independent on observation of type 6)"

R2 v1 2026-06-21T14:17:22.879Z