Almost prime triples and Chen's Theorem
Number Theory
2015-10-06 v2
Abstract
We show that there are infinitely many primes such that not only does have at most two prime factors, but also has a bounded number of prime divisors. This refines the well known result of Chen.
Cite
@article{arxiv.1504.00533,
title = {Almost prime triples and Chen's Theorem},
author = {D. R. Heath-Brown and Xiannan Li},
journal= {arXiv preprint arXiv:1504.00533},
year = {2015}
}
Comments
22 pages; errors with numerical calculations corrected after referee report; main result somewhat improved