Update March 2019: 8866128975287528^3+(-8778405442862239)^3+(-2736111468807040)^3 33 is the lowest unsolved problem in the world of "summing three cubes". But 30 was also a tough nut to crack! More links & stuff in full description below ↓↓↓ Featuring Tim Browning from the University of Bristol. Taxi Cab Numbers: https://www.youtube.com/watch?v=LzjaDKVC4iY Fermat's Last Theorem: https://www.youtube.com/watch?v=qiNcEguuFSA Support us on Patreon: http://www.patreon.com/numberphile 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 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran 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 Numberphile T-Shirts: null Other merchandise: https://store.dftba.com/collections/numberphile THANKS TO PATREON SUPPORTERS Jeff Straathof Ken Baron Today I Found Out Roman Urbanovski Joanna & Mehdi Christian Cooper Peggy Youell John Buchan Bill Shillito Andrzej 'Yester' Fiedukowicz Susan Silver Lê OK Merli Spiked Math Filipe Junqueira RexDex NHM Alminji Thomas Buckingham Peter Kær Henry Reich plusunim Tracy Parry Stan Ciprian Elias Jonathan List Tyler O'Connor Keith Vertrees Jordan Smith Valentin Kristian Joensen Rich Pantano James P Buckley Michael Paul Bates Michael Surrago George Greene Arnas