Can you trust an elegant conjecture?

If you, or someone you know, would like a paid internship in New York, London or Hong Kong: check out Jane Street. https://www.janestreet.com/join-jane-... Nathaniel Johnston's post on The Binary “Look-and-Say” Sequence: http://www.njohnston.ca/2010/11/the-b... Huge thanks to my mate Jonny Berliner for recording Eigen See Clearly Now because I thought it would be funny. Check out his website and channel for more science music fun. https://www.jonnyberliner.com/    / @jonnyberliner7212   More on the general Look and Say Sequence: https://mathworld.wolfram.com/Lookand... I told you 3blue1brown had a good visual explanation for eigen-stuff.    • Eigenvectors and eigenvalues | Chapter 14,...   Thanks to Ben Sparks for helping out with the graphics as well.    / sparksmaths   Cheers to my Patreons for helping enable these videos. That whiteboard wasn't free you know! Keep me in whiteboard pens here:   / standupmaths   CORRECTIONS At 11:17 I accidentally have Nathaniel Johnston's name as "Daniel Johnston". No idea how that happened. But I'm very sorry. Let me know if you spot any other mistakes! Filming and editing by Alex Genn-Bash Eigen See Clearly Now music by Jonny Berliner channeling Jimmy Cliff Eigen See Clearly Now lyrics by Matt Parker and Johnny Nash Non-Eigen music by Howard Carter Maths graphics by Ben Sparks Design by Simon Wright and Adam Robinson