제발 풀려고 하지 마세요! (아무도 못푼 쉬운 문제. 콜라츠 추측)

A simple problem, yet one that no one has solved. Let's learn about the Collatz Conjecture, which has puzzled mathematicians along with Fermat's Last Theorem. Don't worry. It's easy enough for even an elementary school student to understand. (The conjecture itself, though... haha) #ColatzConjecture #Party2 #Multiply3+1 Name and Terminology Corrected 12:35 - Terry Tao (Revised) Terence Tao Subtitle Corrected 1:14 - "It becomes 5, then 5 times 3, and adding them gives 16." (Revised) It becomes 5, then 5 times 3, and adding 1 gives 16. Special thanks to Prof. Alex Kontorovich for introducing us to this topic, filming the interview, and consulting on the script and earlier drafts of this video. ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ References: Lagarias, J. C. (2006). The 3x+ 1 problem: An annotated bibliography, II (2000-2009). arXiv preprint math/0608208. — https://ve42.co/Lagarias2006 Lagarias, J. C. (2003). The 3x+ 1 problem: An annotated bibliography (1963–1999). The ultimate challenge: the 3x, 1, 267-341. — https://ve42.co/Lagarias2003 Tao, T (2020). The Notorious Collatz Conjecture — https://ve42.co/Tao2020 A. Kontorovich and Y. Sinai, Structure Theorem for (d,g,h)-Maps, Bulletin of the Brazilian Mathematical Society, New Series 33(2), 2002, pp. 213-224. A. Kontorovich and S. Miller Benford's Law, values ​​of L-functions and the 3x+1 Problem, Acta Arithmetica 120 (2005), 269-297. A. Kontorovich and J. Lagarias Stochastic Models for the 3x + 1 and 5x + 1 Problems, in "The Ultimate Challenge: The 3x+1 Problem," AMS 2010. Tao, T. (2019). Almost all orbits of the Collatz map attain almost bounded values. arXiv preprint arXiv:1909.03562. — https://ve42.co/Tao2019 Conway, J. H. (1987). Fractran: A simple universal programming language for arithmetic. In Open problems in Communication and Computation (pp. 4-26). Springer, New York, NY. — https://ve42.co/Conway1987 ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ Special thanks to Patreon supporters: Alvaro Naranjo, Burt Humburg, Blake Byers, Dumky, Mike Tung, Evgeny Skvortsov, Meekay, Ismail Öncü Usta, Paul Peijzel, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, Jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ Written by Derek Muller, Alex Kontorovich and Petr Lebedev Animation by Iván Tello, Jonny Hyman, Jesús Enrique Rascón and Mike Radjabov Filmed by Derek Muller and Emily Zhang Edited by Derek Muller SFX by Shaun Clifford Additional video supplied by Getty Images Produced by Derek Muller, Petr Lebedev and Emily Zhang Dubbed by Mingi Kwon Additional Edited by Jaehyuk Jung Translated by Yuna Lee 3d Coral by Vasilis Triantafyllou and Niklas Rosenstein — https://ve42.co/3DCoral Coral visualization by Algoritmarte — https://ve42.co/Coral