Distribution law for twin primes amongst naturals

Boris B. Benyaminov

Distribution law for twin primes amongst naturals

Number Theory 2011-08-02 v1

Authors: Boris B. Benyaminov

Abstract

A hypothesis is put forward regarding the function $\pi_2(x)$ which describes the distribution of twin primes in the set of natural numbers. The function $\pi_2(x)$ is tested by evaluation and an empirical $\pi_2^{\ast}(x)$ is arrived at, which is shown to be highly accurate. Several other questions are also addressed.

Keywords

twin primes distribution law prime number theory empirical formula natural numbers

Cite

@article{arxiv.1108.0105,
  title  = {Distribution law for twin primes amongst naturals},
  author = {Boris B. Benyaminov},
  journal= {arXiv preprint arXiv:1108.0105},
  year   = {2011}
}

Comments

7 pages. This is a slightly improved version of the 1986 publication (available in English from SpringerLink) -- the two are not identical

Distribution law for twin primes amongst naturals

Abstract

Keywords

Cite

Comments

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