This deceptively simple math problem has stumped mathematicians for almost 300 years! 👉 Head to https://hensonshaving.com/veritasium and enter code 'Veritasium' for 100 free blades with the purchase of a razor. Make sure to add both the razor and the blades to your cart for the code to take effect. 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 to the Veritasium newsletter for weekly science updates - https://ve42.co/Newsletter ▀▀▀ A huge thank you to Steven Strogatz, Alex Kontorovich, Harald Helfgott, Senia Sheydvasser, Jared Duker Lichtman, Roger Heath-Brown, Kevin Ford, Carl-Fredrik Nyberg Brodda, Kaneenika Sinha & Shehzad Hathi for their invaluable expertise and contributions to this video. Look out for the upcoming @fern-tv video on the tragic life of Srinivasa Ramanujan! A huge thank you to Ruben Katschko, Mathias Hawk, Chris Varga, Elmer and David from fern for working with us! The full interview with Steven Strogatz is out now, exclusive to Patreon! - https://www.patreon.com/c/veritasium ▀▀▀ 0:00 What is Goldbach’s Conjecture? 4:33 Goldbach and Euler 7:03 The Prime Number Theorem 11:16 The Genius of Ramanujan 14:57 The Circle Method 27:31 Proving the Weak Goldbach Conjecture 32:40 Math vs Mao 36:06 Back to Chen Jingrun 37:15 How you can prove the Strong Goldbach Conjecture ▀▀▀ References: References can be found here - https://ve42.co/GoldbachRefs Images & Video: Image and video references can be found here - https://ve42.co/GoldbachVisuals ▀▀▀ 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, Dave Kircher, David Johnston, David Tseng, Evgeny Skvortsov, Garrett Mueller, Gnare, gpoly, iRick, Jeromy Johnson, Jon Jamison, JT, Juan Benet, Keith England, KeyWestr, Kyi, Lee Redden, Marinus Kuivenhoven, Matthias Wrobel, Meekay, meg noah, Michael Krugman, Orlando Bassotto, Paul Peijzel, Richard Sundvall, Robert Oliveira, Sam Lutfi, Tj Steyn, TTST, Ubiquity Ventures, wolfee ▀▀▀ Writers: Casper Mebius & Derek Muller Additional Writers: Darius Garewal, Callum Cuttle & Aakasha Bagga Producer & Director: Casper Mebius Editors: Jack Saxon & Peter Nelson Camera Operators: Casper Mebius & Derek Muller Animators: Fabio Albertelli, Emma Wright, Ivy Tello, Allama Nandii, Emma Foster, Mike Radjabov & Andrew Neet Illustrators: Maria Gusakovich, Jakub Misiek & Caine Esperanza Assistant Editor: James Stuart Researchers: Darius Garewal, Geeta Thakur & Gabe Strong Thumbnail Designers: Ren Hurley & Ben Powell Production Team: Rob Beasley Spence, Tori Brittain, Casper Mebius & Gregor Čavlović Advice & Feedback: Gregor Čavlović Executive Producers: Derek Muller & Casper Mebius Additional video/photos supplied by Getty Images, Pond5. Music from Epidemic Sound