General Mathematics

    

A Proof for the Collatz Conjecture

Authors: Baoyuan Duan

Build a special identical equation, use its calculation characters to prove and search for solution of any odd converging to 1 equation through (*3+1)/2^k operation, and get a solution for this equation, which is exactly same with that got from calculating directly. Then give a specific example to verify it. Thus prove the Collatz Conjecture is true.Furthermore, analysis the even and odd sequences produced by iteration calculation during searching for solution, build a function model, prove it decreases progressively to 0, indicate that this kind of iteration calculation has determined direction, and gradually regularly converges.

Comments: 11pages. It is easily to verify, in long sequence, to finish adding x bits of 1 to head part, it need about 2.5x steps. The needing steps from two angles introduced in paper are contradictious(the other is smaller than 2.4207x).

Download: PDF

Submission history

[v1] 2022-04-04 21:04:09
[v2] 2022-04-15 19:41:28
[v3] 2022-06-18 11:23:45
[v4] 2022-07-22 00:24:40
[v5] 2022-10-28 00:51:32

Unique-IP document downloads: 556 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus