Distribution law for twin primes amongst naturals

Details Distribution law for twin primes amongst naturals Distribution law for twin primes amongst naturals

2011-07-30

arxiv.org/abs/1108.0105v1

B.B. Ben'yaminov, "Distribution of twin primes in the set of natural numbers", Ukrainian Mathematical Journal, 1986, Volume 38

Mathematics

Number Theory

7 pages. This is a slightly improved version of the 1986 publication (available in English from SpringerLink) -- the two are n

Scientific paper

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.

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