Article
Version 1
Preserved in Portico This version is not peer-reviewed
A Proof of Collatz Conjecture
Version 1
: Received: 29 May 2023 / Approved: 31 May 2023 / Online: 31 May 2023 (03:10:05 CEST)
Version 2 : Received: 21 September 2023 / Approved: 22 September 2023 / Online: 22 September 2023 (07:42:19 CEST)
Version 2 : Received: 21 September 2023 / Approved: 22 September 2023 / Online: 22 September 2023 (07:42:19 CEST)
How to cite: Qingxue, H. A Proof of Collatz Conjecture. Preprints 2023, 2023052161. https://doi.org/10.20944/preprints202305.2161.v1 Qingxue, H. A Proof of Collatz Conjecture. Preprints 2023, 2023052161. https://doi.org/10.20944/preprints202305.2161.v1
Abstract
In 1937,German mathematician L.Collatz proposed a conjeture:for any positive integer,if it is even,divide it by 2;if it is odd,multiply it by 3 and 1 to get an even number;keep going on and on, the final result is 1.This paper gives a sequence classification of odd numbers,and gives 1-1 mapping of odd numbers and odd number sequences,and uses these results to give a proof of this conjecture.
Keywords
pre odd number; post odd number; classification of odd numbers; sequence classification of odd numbers,1-1 mapping between odd numbers and odd number sequences
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment