{"title":"The Proof of the Collatz Conjecture","authors":"Bahman Mohammadhoseini","doi":"10.47577/technium.v15i.2558","DOIUrl":null,"url":null,"abstract":"In this paper, I intend to prove the Collatz conjecture. In the following, I will prove that theCollatz conjecture is true for any positive integer and also for natural numbers. That is, aftersufficiently using the rules of the Collatz conjecture, we must reach 1. In fact, I aim to give adefinite answer to the question that has not been answered since 1937: Does the Collatz sequenceeventually reach 1 for all-natural or positive integer initial values? My answer is yes.","PeriodicalId":490649,"journal":{"name":"Technium","volume":"4 3","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Technium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47577/technium.v15i.2558","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, I intend to prove the Collatz conjecture. In the following, I will prove that theCollatz conjecture is true for any positive integer and also for natural numbers. That is, aftersufficiently using the rules of the Collatz conjecture, we must reach 1. In fact, I aim to give adefinite answer to the question that has not been answered since 1937: Does the Collatz sequenceeventually reach 1 for all-natural or positive integer initial values? My answer is yes.
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