The Simplest Math Problem No One Can Solve - Collatz Conjecture / Veritasium
The Collatz Conjecture is the simplest math problem no one can solve — it is easy enough for almost anyone to understand but notoriously difficult to solve.
References:
Lagarias, J. C. (2006). The 3x 1 problem: An annotated bibliography, II (2000-2009). arXiv preprint math/0608208. —
Lagarias, J. C. (2003). The 3x 1 problem: An annotated bibliography (1963–1999). The ultimate challenge: the 3x, 1, 267-341. —
Tao, T (2020). The Notorious Collatz Conjecture —
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:. —
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. —
The Manim Community Developers. (2021). Manim – Mathematical Animation Framework (Version ) [Computer software].
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