Number Theory

    

Solution to the Collatz Conjecture

Authors: Samuel Ferrer Colas

The Collatz or 3x + 1 conjecture is perhaps the simplest stated yet unsolved problem in mathematics in the last 70 years. It was circulated orally by Lothar Collatz at the International Congress of Mathematicians in Cambridge, Mass, in 1950 (Lagarias, 2010).The problem is known as the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after Helmut Hasse), or the Syracuse problem.In this concise paper I provide a proof of this conjecture, by finding an upper bound to the Collatz sequence and, as a consequence, a contradiction.

Comments: 5 Pages. The chart is only a hints. Do not consider it as part of the core proof

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Submission history

[v1] 2023-05-23 05:36:14

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