English

Bounded Gaps Between Products of Distinct Primes

Number Theory 2018-03-14 v3

Abstract

Let r2r \ge 2 be an integer. We adapt the Maynard-Tao sieve to produce the asymptotically best-known bounded gaps between products of rr distinct primes. Our result applies to positive-density subsets of the primes that satisfy certain equidistribution conditions. This improves on the work of Thorne and Sono.

Keywords

Cite

@article{arxiv.1607.03887,
  title  = {Bounded Gaps Between Products of Distinct Primes},
  author = {Yang P. Liu and Peter S. Park and Zhuo Qun Song},
  journal= {arXiv preprint arXiv:1607.03887},
  year   = {2018}
}
R2 v1 2026-06-22T14:53:56.570Z