BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

The primes according to Euclid Booker, Andrew

Description

In Book IX of the Elements, Euclid recorded a constructive proof that there are infinitely many prime numbers. It remains a model of elegant mathematical reasoning. However, some basic follow-up questions remain unanswered, such as: If we start from nothing and apply Euclid's construction in all possible ways, does every prime number eventually turn up I will explain how the set of all possible instances of Euclid's construction has a natural directed graph structure, before saying some (interesting) things about the graph.

Item Media

Item Citations and Data

Rights

Attribution-NonCommercial-NoDerivatives 4.0 International