Number Theory

    

A Proof of the Collatz Conjecture

Authors: Xingyuan Zhang

In this paper, we had given a proof of the Collatz conjecture in elementary algebra. Since any given positive integer is conjectured to return to odd 1 in operations, we analyze continuous inverse operations starting with odd 1, it had proved that all of the inverse path numbers of a given non-triple is obtainable and any inverse operation path tends to infinity, we can get any odd and even, to do continuous forward operations for a positive integer obtained it will return to the odd 1 along the inverse operation paths.

Comments: 6 Pages.

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Submission history

[v1] 2024-07-13 04:03:09

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