Twin Prime Sieve
General Mathematics
2014-05-14 v7
Abstract
A sieve is constructed for ordinary twin primes of the form 6m+/-1 that are characterized by their twin rank m. It has no parity problem. Non-rank numbers are identified and counted using odd primes p>=5. Twin- and non-ranks make up the set of positive integers. Regularities of non-ranks allow gathering information on them to obtain a Legendre-type formula for the number of twin-ranks near primorial arguments.
Cite
@article{arxiv.1203.5240,
title = {Twin Prime Sieve},
author = {H. J. Weber},
journal= {arXiv preprint arXiv:1203.5240},
year = {2014}
}
Comments
22 pages. Updated. arXiv admin note: substantial text overlap with arXiv:1204.3795, arXiv:1204.5728