Stanley Xiao, Department of Pure Mathematics, University of Waterloo
“Small
gaps
between
primes”
In this talk, we will go into the Maynard sieve in more detail and show how it leads to not only that there exist arbitrarily many pairs of consecutive primes within 600 of each other, but also that for any positive integer m ≥ 2 there exists a constant C(m) such that there are infinitely many tuples of m consecutive primes such that the smallest prime in the tuple and the largest prime in the tuple differ by no more than C(m).
MC 5403