Grad Student Colloquium | Owen Sharpe | Primality Testing Is Easy but Factoring Is Hard

Friday, October 2, 2026 5:00 pm - 6:00 pm EDT (GMT -04:00)

Owen Sharpe (University of Waterloo)

Primality Testing Is Easy but Factoring Is Hard
You've probably heard of RSA, and that it relies on factoring being a hard problem, but did you ever wonder where the large primes come from in the first place? We will take a tour through primality testing and factoring algorithms, starting with trial factoring and the sieve of Eratosthenes, through probabilistic methods like the Miller-Rabin probabilistic test and the Pollard rho method, to the bleeding edge of AKS and the quadratic sieve.
MC 5417