# Gaps between primes in Beatty sequences

Liangyi Zhao

UNSW

## Date:

Wed, 21/10/2015 - 1:30pm

## Venue:

K-J17-101 (Ainsworth Building 101) UNSW

## Abstract:

We will present a some results on the gaps between primes in Beatty sequences, sequences of the form $[ \alpha n + \beta ]$ with $\alpha$ irrational and $\beta$ real.  The results follow from a general theorem on the gaps between primes in sets that satisfy certain regularity conditions.  The methods follow the recent breakthrough of J. Maynard. This is joint work with R. C. Baker.