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The Proof of the Collatz Conjecture

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  • Bahman Mohammadhoseini

Abstract

In this paper, I intend to prove the Collatz conjecture. In the following, I will prove that the Collatz conjecture is true for any positive integer and also for natural numbers. That is, after sufficiently using the rules of the Collatz conjecture, we must reach 1. In fact, I aim to give a definite answer to the question that has not been answered since 1937: Does the Collatz sequence eventually reach 1 for all-natural or positive integer initial values? My answer is yes.

Suggested Citation

  • Bahman Mohammadhoseini, 2023. "The Proof of the Collatz Conjecture," Technium, Technium Science, vol. 15(1), pages 97-115.
    • Handle: RePEc:tec:techni:v:15:y:2023:i:1:p:97-115
    DOI: 10.47577/technium.v15i.2558
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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