pictures from 'A Mathematical Bridge'

I have been reading a book named 'A Mathematical Bridge' and have come across a couple of proofs which make an entertaining read:

First, showing the the square root of 2 is irrational

Second, A proof that all integers >1 have a prime decomposition

Both of these a brilliant, short proof which really mainly on logic rather than mathematical skill, credit goes to Stephen Fletcher Hewson for writing the book.

Welcome To Lol Proofs!

Welcome to LOL proofs, the official home of entertaining, nerdy and new mathematics and proofs.

Expect made up maths, pictures of diagrams, fierce irrelevant argument and of course the odd proof

Enjoy.