Tom Crawford discusses Hercules and The Hydra Game. See https://brilliant.org/numberphile for Brilliant and 20% off their premium service & 30-day trial (episode sponsor). More links & stuff in full description below ↓↓↓ Tom Crawford's website, with links to his work and other outreach: https://tomrocksmaths.com/ More Tom videos on Numberphile: http://bit.ly/Crawford_Videos Tom on the Numberphile Podcast: https://www.youtube.com/watch?v=_HwKGncsGo0 Tom Crawford is based at University of Oxford as Early Career Teaching and Outreach Fellow at St Edmund Hall and Public Engagement Lead at the Oxford University Department for Continuing Education. Watch The Josephus Problem - https://www.youtube.com/watch?v=uCsD3ZGzMgE POST-PUBLICATION NOTE: Have seen a number of people saying the 4 case should be 1,114,111 rather than 983,038 - I'm not qualified to comment but you can read some discussion and coding here: https://redd.it/1c6z1t4 Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We're also supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): http://bit.ly/MSRINumberphile Our thanks also to the Simons Foundation: https://www.simonsfoundation.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran. Animation by Pete McPartlan Numberphile T-Shirts and Merch: null Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9