Number Theory

    

A Proof of the Collatz Conjecture (After Second Modification)

Authors: Zhang Tianshu

If every positive integer is able to be operated to 1 by the set operational rule of the Collatz conjecture, then begin with 1, we can get all positive integers by operations on the contrary of the set operational rule for infinite many times. In this article, we will apply the mathematical induction with the help of certain operations by each other’s- opposed operational rules to prove that the Collatz conjecture is tenable.

Comments: 18 Pages. This is third manuscript for the article.

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Submission history

[v1] 2014-09-11 03:52:26

Unique-IP document downloads: 291 times

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