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Pi hiding in prime regularities

3Blue1Brown · explainer · Watch on YouTube

Recreational & visual mathPure mathematics

What it is

3Blue1Brown shows how pi emerges from prime numbers via complex numbers and sums of squares, culminating in a formula for approximating pi.

Why Hacker News recommends it

Praised as a beautiful, understandable proof and a favorite among 3Blue1Brown videos.

  • 3 people recommended it
  • 3 different months
  • 2 strong recommendations
  • first 2017, last 2019

What HN commenters said

  1. “This is a really beautiful proof that connects complex numbers and primes to derive a formula for calculating pi.”

    Beautiful, accessible proof connecting complex numbers and primes to pi.

    pqh, 2017-11 · Strong recommendation · in “The Exterior Algebra and Central Notions in Mathematics (2015) [pdf]”

  2. “My favorite video is”

    Favorite 3Blue1Brown video; beautiful, understandable mathematics.

    zerb, 2018-02 · Strong recommendation · in “Physics Travel Guide: a tool that makes learning physics easier”

  3. “I think it'll give you a very intuitive grounding for 1) why integers have unique polynomial representations”

    Intuitive grounding for polynomial representations and semiprime factorization.

    throwawaymath, 2019-01 · Recommendation · in “Mathematicians Seal Loophole to Breaking RSA Encryption”

Excerpts from Hacker News comments, linked to the originals. Summaries and labels were written by a language model from those comments.

Topics: pi, prime numbers, complex numbers, gaussian integers, 3blue1brown

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