%0 Journal Article
%T Three theorems on twin primes
%A Vladimir Shevelev
%J Mathematics
%D 2009
%I arXiv
%X 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 $(p,\enskip p+2)$ of twin primes over arbitrary given integer $m\geq4$ such that $p+2\geq m.$
%U http://arxiv.org/abs/0911.5478v11