The Raffle Function
Zvezdelina Stankova discusses the raffle function - and her epic proof ends with an interesting connection.
Zvezda playlist here on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWIbAPK1oJgRIpe0sWiPKkQ4
Epic Circles (another long proof) - https://youtu.be/sG_6nlMZ8f4
A proof that e is irrational - https://youtu.be/xOXsDfMMTjs
A Miraculous Proof (Ptolemy's Theorem) - https://youtu.be/bJOuzqu3MUQ
Epic Induction - https://youtu.be/bylFzBxzQ9M