The Pattern to Prime Numbers?

In this video, we explore the "pattern" to prime numbers. I go over the Euler product formula, the prime number theorem and the connection between the Riemann zeta function and primes.

Here's a video on a similar topic by Numberphile if you're interested:    • A Prime Surprise (Mertens Conjecture) - Nu...  

There are a few mistakes in this video, so I clarified them in a pinned comment. Sorry about that!

This video adapted several concepts and ideas from this article: medium.com/cantors-paradise/the-riemann-hypothesis…

More sources: docs.google.com/document/d/1_lFWtsuPfWNq0VFAiqknsS…

Riemann Hypothesis by 3b1b:    • But what is the Riemann zeta function? Vis...  

Complex Exponents by 3b1b:    • e^(iπ) in 3.14 minutes, using dynamics | DE5  

Harmonic Series Divergence: web.williams.edu/Mathematics/lg5/harmonic.pdf

P-Series Convergence: www.khanacademy.org/math/ap-calculus-bc/bc-series-…

This video was animated using manim: github.com/3b1b/manim
Source code for the animations: github.com/vivek3141/videos

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#primes #zeta #math