{"title":"Proof of Collatz Conjecture","authors":"Chengning Liu","doi":"10.37622/adsa/16.1.2021.313-316","DOIUrl":null,"url":null,"abstract":"This paper used the mathematical induction to prove Collatz Conjecture, namely, assumed that the conjecture of 3, 5, 7, until 2m+1 were established, and the Collatz Conjecture transformation rule was used to prove that the conjecture was true whether m in 2m+3 was odd or even, which thoroughly proved Collatz Conjecture.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"17 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Dynamical Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37622/adsa/16.1.2021.313-316","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
This paper used the mathematical induction to prove Collatz Conjecture, namely, assumed that the conjecture of 3, 5, 7, until 2m+1 were established, and the Collatz Conjecture transformation rule was used to prove that the conjecture was true whether m in 2m+3 was odd or even, which thoroughly proved Collatz Conjecture.