Monday, August 15, 2016

The Infamous Collatz Conjecture 

"The infamous Collatz Conjecture":
David Eisenbud explains the Collatz Conjecture, a math problem that is very easy to understand but has an entire book devoted to it and led famous mathematician Paul Erdős to say "this is a problem for which mathematics is perhaps not ready".

The problem is easily stated: start with any positive integer and if it is even, divide it by 2 and if odd multiply it by 3 and add 1. Repeat the process indefinitely. Where do the numbers end up? Infinity? 1? Loneliness? Somewhere in-between?