The Zipf Mystery – Zipf is a discrete form of the Pareto Principle and describes a large amount of natural, economic and language cultural phenomena.
The sum of all natural numbers is -1/12
This is one of the nicest gold nuggets from numberphile channel on youtube. Several different proofs conclude this result.
Computers can’t do everything! Alan Turing proofed 1936 the famous theoretical information theorem called “The halting Problem”