SUMS: Lobo -- Prime Numbers: How wide can you go?

Perhaps the most widely known fact about prime numbers is that there are infinitely many
of them.  This was first proved in approximately 300BC by Euclid.  In this talk we will
look at a few different proofs, dabbling in various fields of mathematics along the
way.  Large sections of the talk will require no specialist background, and will be
accessible to all.