The Infinite Twin Prime Problem

Do twin primes go on forever? Sponsored by Brilliant - Head to https://brilliant.org/veritasium to try Brilliant’s tutor for free, plus receive 20% off an annual Premium subscription If you’re looking for a molecular modelling kit, try Snatoms, a kit I invented where the atoms snap together magnetically - https://ve42.co/SnatomsV Sign up for the Veritasium newsletter for weekly science updates - https://ve42.co/Newsletter For early access to work in progress videos join our patreon https://ve42.co/VePatreon ▀▀▀ A huge thank you to Alex Kontorovich, Andrew Granville, James Maynard, Roger Heath-Brown, Dimitris Koukoulopoulos, Debmalya Basak & George Shakan for their invaluable expertise and contributions to this video! ▀▀▀ 0:00 What are twin primes? 3:08 How To Find Prime Numbers 6:11 The Sieve of Eratosthenes 11:26 The Closest We’ve Come To Proving Twin Primes 15:54 Searching For A Bounded Gap 18:47 How A Subway Worker Changed The Game 29:20 Finding An Upper Bound 32:04 Maynard and Polymath 36:42 Will we solve the twin prime conjecture? ▀▀▀ References can be found here: https://ve42.co/TwinPrimesRefs ▀▀▀ Special thanks to our Patreon supporters: Adam Foreman, Albert Wenger, Alex Porter, Alexander Tamas, Anton Ragin, armedtoe, Balkrishna Heroor, Bertrand Serlet, Blake Byers, Bruce, Charles Ian Norman Venn, Daniel Martins, Data Don, Dave Kircher, David Johnston, David Tseng, EJ Alexandra, Evgeny Skvortsov, Garrett Mueller, Gnare, Hayden Christensen, Hong Thai Le, Ibby Hadeed, Jeromy Johnson, Jesse Brandsoy, Jon Jamison, Juan Benet, Kelcey Steele, KeyWestr, Kyi, Lee Redden, Marinus Kuivenhoven, Mark Heising, Martin Paull, Meekay, meg noah, Michael Krugman, Moebiusol - Cristian, Orlando Bassotto, Parsee Health, Paul Peijzel, Richard Sundvall, Robson, Sam Lutfi, Shalva Bukia, Sinan Taifour, Tj Steyn, Ubiquity Ventures, Vahe Andonians, wolfee ▀▀▀ Writers: Vibhor Pandey, Casper Mebius and Alex Kontorovich Producer & Director: Vibhor Pandey Presenters: Derak Muller & Casper Mebius Editors: George Reynolds & Trenton Oliver Camera Operators: Casper Mebius & Derek Muller Animators: Emma Wright, Andrew Neet, Alex Drakoulis, Domonkos Józsa & Fabio Albertelli Illustrators: Jakub Misiek Additional Editor: James Stuart Researchers: Darius Garewal, Gabe Strong, Sophia Rose Thumbnail Designers: Abdullah Rabah, Ben Powell, Daniel Ellacott & Patryk Ziolkowski Production Team: Jess Bishop-Laggett, Matthew Cavanagh, Anna Milkovich & Josh Pitt Executive Producers: Derek Muller, Casper Mebius & Emily Zhang Additional video/photos supplied by Getty Images & Storyblocks Music from Epidemic Sound


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