Journal of Advances in Mathematics and Computer Science

An Inferior Limit on the Number of Twin Primes up to 6 P

A. Dinculescu *

Formerly with “Esperion” at Western Michigan University, Kalamazoo, MI, 49008, USA.

*Author to whom correspondence should be addressed.

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Abstract

Because the density of non-ranks in the interval 1...P_j  is smaller than the average density of

non-ranks of parent primes       in the interval  1...L , where     , there is an

inferior limit on the number of twin ranks up to a prime P_j , and hence on the number of twin

primes up to a number 6 P_j. 

Keywords: Twin primes, twin prime conjecture, distribution of primes, sieves.

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