How many primes are there... roughly?

Tim Trudgian (Australian National University)

Tuesday 10th March, 2015 16:00-17:00 Maths 326

Abstract

We know that \pi(x), the number of primes less than x, grows roughly like x/\log x. Suppose we wish to have a good estimate of the error: \pi(x) - x/\log x. I shall mention some of the ingredients from number theory that combine to give us such an estimate.