Do the primes play dice?
Abstract:
The sequence of prime numbers have fascinated mathematicians since antiquity,
largely due to the apparent irregularity in their distribution. However, regularities
and patterns appear if the primes are viewed statistically. We will discuss how ideas
from probability theory can be used to study prime numbers, with an emphasis on
gaps between consecutive prime numbers. In particular, we will discuss recent
breakthroughs concerning small and large gaps between prime numbers.