Article
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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.
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