3blue1brown
3blue1brown
@3blue1brown·8.4M subscribers·238 videos

Pi hiding in prime regularities

Posted

May 19, 2017

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YouTube Description

as posted by the channel

A story of pi, primes, complex numbers, and how number theory braids them together.

Mathologer on why 4k + 1primes break down as sums of squares

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For those of you curious about the finer details, here's a writeup from the viewer Daniel Flores justifying the final approximation

The fact that only primes that are one above a multiple of four can be expressed as the sum of two squares is known as "Fermat's theorem on sums of two squares"

Music by Vince Rubinetti:

Timestamps

Thanks to these viewers for their contributions to translations

Hebrew: Omer Tuchfeld

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Guests & Subjects Covered

Daniel FloresVince Rubinetti TimestampsHebrew Omer Tuchfeld

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