Collatz conjecture: Revision history

6 March 2025

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1 January 2025

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20 December 2024

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• curprev 11:4811:48, 20 December 2024‎ Pig talk contribs‎ 27 bytes −2,878‎ Replaced content with "File:Collatz formal.pdf" Tag: Replaced
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• curprev 10:1510:15, 20 December 2024‎ Pig talk contribs‎ 2,939 bytes −59,759‎ Replaced content with "== Proof of Predictability == To prove the **predictability** of the Collatz conjecture, we demonstrate that for any starting number \( n \), we can predict when the sequence will produce a number smaller than \( n \). This involves analyzing the transformations \( n \to \frac{n}{2} \) (for even numbers) and \( n \to \frac{3n + 1}{2} \) (for odd numbers). === Step 1: Transformation Behavior === ==== Case 1: \( n \) is even ==== When \( n \) is even: \[ n \to \frac..." Tag: Replaced

17 December 2024

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• curprev 00:5800:58, 17 December 2024‎ Pig talk contribs‎ 34,715 bytes +34,715‎ Created page with "Are you familiar with the 3n+1 conjecture? ChatGPT said: ChatGPT Yes, I am familiar with the 3n+1 conjecture, also known as the Collatz conjecture. It is an unsolved problem in mathematics that involves sequences of positive integers following a simple iterative rule: Start with any positive integer nn. If nn is even, divide it by 2 (n→n/2n→n/2). If nn is odd, multiply it by 3 and add 1 (n→3n+1n→3n+1). Repeat the process. The conjecture states..."