English

Numerical evidence in favor of the Arenstorf formula

Number Theory 2007-05-23 v1

Abstract

The formula limNp<N,p,p+2bothprimelog(p)log(p+2)=C2\lim_{N\to\infty}\sum_{p<N,p,p+2 both prime} \log(p)\log(p+2) = C_2 is tested on the computer up to N=2401.1×1012N=2^{40}\approx 1.1\times 10^{12} and very good agreement is found.

Keywords

Cite

@article{arxiv.math/0406091,
  title  = {Numerical evidence in favor of the Arenstorf formula},
  author = {Marek Wolf},
  journal= {arXiv preprint arXiv:math/0406091},
  year   = {2007}
}