The puzzle that drives everyone crazy ???? - The Collatz Problem

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Published on Nov 17, 2024
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The Collatz problem: A puzzle that no one can solve! ???? In this video, we delve into one of the most puzzling mathematical problems of all time: the Collatz problem, also known as the 3n+1 conjecture. Simple rules, but an incredible challenge: To date, no one has completely solved this problem - not even the most brilliant minds in mathematics. ????✨ I'll take you on a journey through the history of this mysterious problem. What is behind the simple rules of the game that can produce such complex sequences? Why do all numbers seem to end up in the legendary cycle "4 → 2 → 1" - and could there be an exception? ???? From Lothar Collatz's original idea to modern approaches to cracking the problem, we explore the fascination behind this conjecture. Find out how Terence Tao worked on this puzzle and why the problem is still considered unsolvable today. ???????? But don't worry - I'll make it understandable! Whether you're a math fan or just curious, you'll be amazed at how exciting number sequences can be. ???? If you're enthusiastic about the magic of math, subscribe and write in the comments which puzzles or theories I should cover next! ???????? 0:00 The rules of the game 04:46 The Collatz conjecture 06:23 Finding a counterexample 07:41 More cycles 10:59 Hailstorm numbers and fall time 13:28 Longest fall times 14:13 Fall times 14:51 Highest number reached 16:36 Proof by complete induction? 21:14 Partial solution by Terence Tao

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