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)...
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
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Music by ChillHop
#primes #zeta #math
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