Pi hiding in prime regularities

What Hacker News said

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

This is a really beautiful proof that connects complex numbers and primes to derive a formula for calculating pi. It should only require high-school algebra prereqs. [this video] If you want to truly follow the proof, there's one little bit on the chi function in there which is connected to something called the One Sentence Proof. This looks rather esoteric and takes a bit of pondering to wrap your head around, but again only really requires high-school level algebra. Doing proofs like this is what math is really about. This is how you come to really understand. And this video also happens to be entertaining in how well-put-together it is.

Strong rec zerb · 2018-02 · on “Physics Travel Guide: a tool that makes learning physics easier”

3Blue1Brown has been recommended on HN before ( [LINK] ) But it's so great I think it bears bringing up in case anyone reading this comment has missed it. This channel animates math proofs, shows you the intuition behind fields of math, and constructs subjects in such a way as to make you feel like you could have invented them yourself. You'll still need a good textbook or something to go with the videos, but they cement the understanding in your mind very well and even open the door to more formal proofs. My favorite video is [this video] . You'll have to take an additional step to get a complete proof (hint: read and work through the One Sentence Proof), but this is a beautiful piece of mathema

Recommends throwawaymath · 2019-01 · on “Mathematicians Seal Loophole to Breaking RSA Encryption”

This is a half hour 3Blue1Brown video: [this video] If you're willing to watch at least the first half of it, I think it'll give you a very intuitive grounding for 1) why integers have unique polynomial representations, and 2) why that's related to (semi)prime factorization.