Twin Prime Sieve

Details Twin Prime Sieve Twin Prime Sieve

2012-03-23

arxiv.org/abs/1203.5240v5

Mathematics

Number Theory

22 pages. Minor errors corrected. arXiv admin note: substantial text overlap with arXiv:1204.3795

Scientific paper

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 at primorial arguments. The asymptotic law of its main term agrees with some numerical data.

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