# Verifying the Riemann Hypothesis with SymPy and mpmath

Like most people, I've had a lot of free time recently, and I've spent some of it watching various YouTube videos about the Riemann Hypothesis. I've collected the videos I've watched into YouTube playlist. The playlist is sorted with the most mathematically approachable videos first, so even if you haven't studied complex analysis before, you can watch the first few. If you have studied complex analysis, all the videos will be within your reach (none of them are highly technical with proofs). Each video contains parts that aren't in any of the other videos, so you will get something out of watching each of them.

One of the videos near the end of the playlist is a lecture by Keith Conrad. In it, he mentioned a method by which one could go about verifying the Riemann Hypothesis with a computer. I wanted to see if I could do this with SymPy and mpmath. It turns out you can.