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A Symmetric Uniform Formula and Sole Index Method for Sieving (Twin) Primes

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posted on 06.08.2020, 21:46 by Wei Ren
Allprimescanbeindexedbyk,asprimesmustbeintheform of 6k+1 or 6k-1. In this paper, we explore for the set of k such that either 6k+1 or 6k-1 is not a prime. Our method provides a uniform formula for k that can sieve primes and twin primes as well. The uniform presents symmetry in terms of k that works as single index in sieving. We also propose a new conjecture that is equivalent to Twin Prime Conjecture but possibly be easier to approach by merely exploring of sole index in term of k.

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Email Address of Submitting Author

weirencs@cug.edu.cn

ORCID of Submitting Author

0000-0001-8590-1737

Submitting Author's Institution

China University of Geosciences (Wuhan)

Submitting Author's Country

China

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