Featuring Professor Tony Padilla. See https://brilliant.org/numberphile for Brilliant and get 20% off their premium service (episode sponsor) More links & stuff in full description below ↓↓↓ Yitang Zhang strikes again... Discrete mean estimates and the Landau-Siegel zero: https://arxiv.org/abs/2211.02515 Order Tony's book Fantastic Numbers and Where to Find Them: A Cosmic Quest from Zero to Infinity Amazon US - https://amzn.to/3JYQbws Amazon UK - https://amzn.to/3M3yvB8 MacMillan US - https://us.macmillan.com/books/9780374600570/fantasticnumbersandwheretofindthem Penguin UK - https://www.penguin.co.uk/books/316/316964/fantastic-numbers-and-where-to-find-them/9780241445372.html 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 Animation by Pete McPartlan 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