{"title":"On the Picture-Perfect Number","authors":"Rulthan P. Sumicad","doi":"10.32996/jmss.2023.4.4.11","DOIUrl":null,"url":null,"abstract":"This is a seminar paper on the article picture perfect numbers by Joseph L. Pe that was published in the journal mathematical spectrum in 2008. This paper begins with a discussion of the definition of the more familiar concept of perfect numbers, then proceeds to a discussion of the picture-perfect numbers as defined by Joseph L. Pe, and winds up with a discussion on how to obtain a picture-perfect number using the Andersen's Theorem. This paper also includes proof of the Andersen's Theorem, as well as that of the Andersen's Lemma, which are both attributed to Jens Kruce Andersen.","PeriodicalId":315204,"journal":{"name":"Journal of Mathematics and Statistics Studies","volume":"40 9","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Statistics Studies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32996/jmss.2023.4.4.11","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
This is a seminar paper on the article picture perfect numbers by Joseph L. Pe that was published in the journal mathematical spectrum in 2008. This paper begins with a discussion of the definition of the more familiar concept of perfect numbers, then proceeds to a discussion of the picture-perfect numbers as defined by Joseph L. Pe, and winds up with a discussion on how to obtain a picture-perfect number using the Andersen's Theorem. This paper also includes proof of the Andersen's Theorem, as well as that of the Andersen's Lemma, which are both attributed to Jens Kruce Andersen.
这是一篇关于Joseph L. Pe在2008年发表在《数学光谱》杂志上的文章《图像完全数》的研讨会论文。本文首先讨论了我们比较熟悉的完全数概念的定义,然后讨论了Joseph L. Pe定义的图像完全数,最后讨论了如何使用安徒生定理获得图像完全数。本文还包括了安徒生定理和安徒生引理的证明,这两个定理都是由安徒生提出的。