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James Grime on the Hadwiger–Nelson problem. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) Extra footage from this interview: • A Colorful Problem (extra footage) - ... The Four Color Map Theorem: • The Four Color Map Theorem - Numberphile More on James Grime (you can book him for talks): http://singingbanana.com More James Grime videos: http://bit.ly/grimevideos The de Grey paper: https://arxiv.org/abs/1804.02385 A good write up on this topic via Quanta Magazine: https://www.quantamagazine.org/decade... The Marijn Heule counterexample: http://www.cs.utexas.edu/users/marijn... More links & stuff in full description below ↓↓↓ Numberphile is supported by the Mathematical Sciences Research Institute (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/outr... And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: / numberphile Numberphile tweets: / numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: / numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: / bradyharan Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9