%0 Journal Article %T On Polignac's conjecture and arithmetic progressions %A Stijn Hanson %J Mathematics %D 2014 %I arXiv %X In this paper we investigate the recent advances by Zhang, Maynard and Pintz towards Polignac's conjecture and give some new results concerning the relationship between Polignac numbers and arithmetic progressions. %U http://arxiv.org/abs/1404.3807v1