The Pattern to Prime Numbers?

Published: 19 January 2020
on channel: vcubingx
266,214
6.8k

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)...  

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:   / the-riemann-hypothesis-explained  

More sources: https://docs.google.com/document/d/1_...

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

Complex Exponents by 3b1b:    • e^(iπ) in 3.14 minutes, using dynamic...  

Harmonic Series Divergence: https://web.williams.edu/Mathematics/...

P-Series Convergence: https://www.khanacademy.org/math/ap-c...

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

Follow Me!
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https://github.com/vivek3141
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Music by ChillHop

#primes #zeta #math


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