August 3, 2021
What is it?
The Collatz Conjecture can be defined simply as:
With any number being passed in recursivly converging on 1 (apparently).
Still unsolved, but verified for everynumber under 268, so gotta start around 3 quintillion.
By adding 1 to your number x, you shuffle its prime factors in a certain way. Its easy to see that x and x+1 share no factors in common, but what else can you say about the factors of x+1 by looking at the factors of x? This, I believe, is the main issue at heart here. The issue of "what the fuck does addition of 1 do to the prime factorization of a number".
there's a pretty shitty "proof" here, written in Java, obviously.
Pretty much, someone thought they were smart by finding out that x must eventually hit some kind of 2k, good read if you're looking for some satire though.