Arithmetic progressions of primes in short intervals
Number Theory
2007-05-23 v1
Abstract
Green and Tao proved that the primes contains arbitrarily long arithmetic progressions. We show that, essentially the same proof leads to the following result: The primes in an short interval contains many arithmetic progressions of any given length.
Cite
@article{arxiv.0705.0061,
title = {Arithmetic progressions of primes in short intervals},
author = {Chunlei Liu},
journal= {arXiv preprint arXiv:0705.0061},
year = {2007}
}