English

An explicit version of Chen's theorem and the linear sieve

Number Theory 2025-06-26 v6

Abstract

Drawing inspiration from the work of Nathanson and Yamada we prove that every even integer larger than exp(exp(32.7))\exp (\exp (32.7)) can be written as the sum of a prime and the product of at most two primes.

Keywords

Cite

@article{arxiv.2207.09452,
  title  = {An explicit version of Chen's theorem and the linear sieve},
  author = {Matteo Bordignon and Daniel R. Johnston and Valeriia Starichkova},
  journal= {arXiv preprint arXiv:2207.09452},
  year   = {2025}
}

Comments

To appear in Int. J. Number Theory

R2 v1 2026-06-25T01:03:35.281Z