3blue1brown
@3blue1brown·8.4M subscribers·240 videos
Pi hiding in prime regularities
Posted
May 19, 2017
Views
2,798,779
Likes
59,266
Comments
2,378
Engagement
2.20%
May 19, 2017
2,798,779
59,266
2,378
2.20%
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29:43Now PlayingA 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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