Are there arbitrarily long arithmetic progressions in the sequence of twin primes?
Number Theory
2010-02-16 v1
Abstract
The main result of the paper is that assuming that the level of distribution of primes exceeds 1/2, then there exists a positive such that there are arbitrarily long arithmetic progressions with the property that is the next prime for each element of the progression. If , then the above holds for some .
Cite
@article{arxiv.1002.2899,
title = {Are there arbitrarily long arithmetic progressions in the sequence of twin primes?},
author = {Janos Pintz},
journal= {arXiv preprint arXiv:1002.2899},
year = {2010}
}