Improved bounds on Brun's constant
Number Theory
2018-03-07 v1
Abstract
Brun's constant is , where the summation is over all twin primes. We improve the unconditional bounds on Brun's constant to , which is about a 13\% improvement on the previous best published result.
Cite
@article{arxiv.1803.01925,
title = {Improved bounds on Brun's constant},
author = {Dave Platt and Tim Trudgian},
journal= {arXiv preprint arXiv:1803.01925},
year = {2018}
}
Comments
11 pages; submitted to the proceedings of the Jon Borwein Commemorative Conference