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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!

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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

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References:

References can be found here - https://ve42.co/GoldbachRefs

Images & Video:

Image and video references can be found here - https://ve42.co/GoldbachVisuals

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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

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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