English

The Romanov theorem revised

Number Theory 2015-05-13 v2

Abstract

Let P be the set of all primes and P_2=P\cup{p_1p_2: p_1,p_2\in P}$. We prove that the sumset 2^P+P_2={2^p+q: p\in P, q\in P_2} has a positive lower density.

Keywords

Cite

@article{arxiv.0708.2539,
  title  = {The Romanov theorem revised},
  author = {Hongze Li and Hao Pan},
  journal= {arXiv preprint arXiv:0708.2539},
  year   = {2015}
}

Comments

5 pages

R2 v1 2026-06-21T09:08:41.512Z