Three theorems on twin primes

Details Three theorems on twin primes Three theorems on twin primes

2009-11-29

arxiv.org/abs/0911.5478v11

Mathematics

Number Theory

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

Scientific paper

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 $p+2\geq m.$

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