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      One-Click Submission System Now Available for SO Preprints, learn more on how this works in our blog post and don't forget to check the video, too!

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      Version and Review History
      Preprint version 2
      Preprint version 1
       
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Note for the Perfect Numbers

      Preprint
      In review
      research-article
      Author(s):   1 ,
      Publication date (Electronic preprint):
      Journal: ScienceOpen Preprints
      Publisher: ScienceOpen
      Keywords: perfect numbers, Mersenne primes, prime numbers, divisor sum function
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            Revision notes

            We improved the last theorem. Certainly, it was wrong the argument that supports that we can take the number 2 as upper bound at the end of the last theorem. However, we found a beauty and elegant way to fix this issue and so, we believe this is the closest version to the final solution.

            Abstract

            Content

            Author and article information

            Journal
            Title: ScienceOpen Preprints
            Publisher: ScienceOpen
            Publication date (Electronic preprint): 30 April 2024
            Affiliations
            [1 ] GROUPS PLUS TOURS INC., 9611 Fontainebleau Blvd, Miami, FL, 33172, USA;
            Author notes
            Author information
            https://orcid.org/0000-0001-8210-4126
            Article
            DOI: 10.14293/PR2199.000821.v2
            SO-VID: d8c1c0ed-2ec6-46b9-b710-a2c74d170c55
            License:

            This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

            History
            Date received : 20 April 2024
            Categories

            Data availability: Data sharing not applicable to this article as no datasets were generated or analysed during the current study.
            ScienceOpen disciplines: General mathematics,Number theory
            Keywords: perfect numbers,Mersenne primes,prime numbers,divisor sum function

            References

            1. Bateman P. T., Selfridge J. L., Wagstaff S. S.. The Editor's Corner: The New Mersenne Conjecture. The American Mathematical Monthly. Vol. 96(2)1989. JSTOR. [Cross Ref]

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