Some new formulae for the twin primes counting function π2(n)

M. Vassilev-Missana
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 7, 2001, Number 1, Pages 10–14
Full paper (PDF, 151 Kb)

Details

Authors and affiliations

M. Vassilev-Missana
5, V. Hugo Str., Sofia-1124, Bulgaria

Abstract

For every n > 1, let π2(n) denote the number of primes p such that p ≤ n and p + 2 is also a prime. In the present paper some new formulae for π2(n) are proposed.

References

  1. Ribenboim, P. The New Book of Prime Number Records. Springer, New York, 1995.
  2. Davenport, H. Multiplicative Numebr Theory. Markham Publ. Co., Chicago, 1967.
  3. Sierpinski, W. Co wiemy, a czego nie wiemy o liczbach pierwszych. Panstwowe Zaklady Wydawnictw Szkolnych Warszawa, 1961.

Related papers

  1. Vassilev, M. (2001). Three formulae for n-th prime and six for n-th term of twin primes. Notes on Number Theory and Discrete Mathematics, 7(1), 15-20.

Cite this paper

Vassilev, M. (2001). Some new formulae for the twin primes counting function π2(n). Notes on Number Theory and Discrete Mathematics, 7(1), 10-14.

Comments are closed.