James Maynard discusses his proof that infinite primes exist missing each base 10 digit - he uses 7 as his arbitrary example. More links & stuff in full description below ↓↓↓ More videos with James Maynard: http://bit.ly/JamesMaynard The paper on primes with restricted digits: https://arxiv.org/abs/1604.01041 James Maynard on our podcast: https://www.youtube.com/watch?v=jEdF2qODzTU More Prime Number videos from Numberphile: http://bit.ly/primevids World's biggest prime printed on paper: https://www.youtube.com/watch?v=tlpYjrbujG0 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.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 Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: 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