On the set of the difference of primes

Abstract

In this work we prove that the set of the difference of primes is a ${\Delta }_r^{\ast }$-set. The work is based on the recent dramatic new developments in the study of bounded gaps between primes, reached by Zhang, Maynard and Tao.

arXiv commentIn this revision we prove a stronger result that the set of the difference of primes is a ${\Delta }_r^{\ast }$-set