Longer version at: https://www.youtube.com/watch?v=yz-5BY_TTNI --- 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 ↓↓↓ Full 2022 Fields Medal Winners: https://www.mathunion.org/imu-awards/fields-medal/fields-medals-2022 See our Fields Medal Playlist: https://bit.ly/Fields_Playlist More James Maynard videos: https://bit.ly/JamesMaynard James Maynard: https://www.sjc.ox.ac.uk/discover/people/professor-james-maynard/ Some images and video courtesy of the International Mathematical Union. And some photos by Jussi Rekiaro/Unigrafia used with permission. Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - https://www.akamai.com/company/corporate-responsibility/akamai-foundation 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 Patreon: http://www.patreon.com/numberphile 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