# Pi hiding in prime regularities

1,093,832

25,969

310

Genre: Education

Family friendly? Yes

Wilson score: 0.9868

Rating: 4.9528 / 5

Engagement: 2.4%

3Blue1Brown

Shared May 19, 2017

A story of pi, primes, complex numbers, and how number theory braids them together.
Brought to you by you: http://3b1b.co/leibniz-thanks
And by Remix: https://www.remix.com/

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": https://goo.gl/EdhaN2

Music by Vince Rubinetti:
https://vincerubinetti.bandcamp.com/a...

------------------

3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).

If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended

Various social media stuffs:
Website: https://www.3blue1brown.com
Patreon: https://patreon.com/3blue1brown
Reddit: https://www.reddit.com/r/3Blue1Brown

25:27

The Wallis product for pi, proved geometrically

##### 3Blue1Brown 372K views

8:59

Gaps between Primes - Numberphile

##### Numberphile 754K views

16:56

Finding Pi by Archimedes' Method

##### MathWithoutBorders 298K views

1:35:35

Lecture 1 | Quantum Entanglements, Part 1 (Stanford)

##### Stanford 992K views

13:37

Times Tables, Mandelbrot and the Heart of Mathematics

##### Mathologer 1.7M views

24:45

Solving 2D equations using color, a story of winding numbers and composition

##### 3Blue1Brown 562K views

17:17

Euler's real identity NOT e to the i pi = -1

##### Mathologer 493K views

1:00:18

Quantum Fields: The Real Building Blocks of the Universe - with David Tong

##### The Royal Institution 1.9M views

14:53

All possible pythagorean triples, visualized

##### 3Blue1Brown 1.6M views

9:44

The Last Digit of Prime Numbers - Numberphile

##### Numberphile 637K views

15:42

Divergence and curl: The language of Maxwell's equations, fluid flow, and more

##### 3Blue1Brown 1.1M views

13:53

GĂ¶del's Incompleteness Theorem - Numberphile

##### Numberphile 1.2M views

16:02

The Brachistochrone, with Steven Strogatz

##### 3Blue1Brown 673K views

17:05

The Essence of Calculus, Chapter 1

##### 3Blue1Brown 2.4M views

31:51

Visualizing quaternions (4d numbers) with stereographic projection

##### 3Blue1Brown 1M view

23:20

Pi is IRRATIONAL: animation of a gorgeous proof

##### Mathologer 374K views

47:51

Terence Tao: Structure and Randomness in the Prime Numbers, UCLA

##### UCLA 554K views

16:30

Who cares about topology? (Inscribed rectangle problem)

##### 3Blue1Brown 1.3M views

11:58

Riemann's paradox: pi = infinity minus infinity