{"title":"The Smarandache Perfect Numbers","authors":"Le Mao-hua","doi":"10.5281/ZENODO.9460","DOIUrl":null,"url":null,"abstract":"For any positive integer a,let S(a) denote the Smarandache function of a.Let n be a positive integer.If n satisfies ∑d|nS(d)=n+1+S(n),then n is called a Smarandache perfect number.ln this paper we prove that 12 the only Smarandache prefect number.","PeriodicalId":15991,"journal":{"name":"Journal of Henan Normal University","volume":"102 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2006-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Henan Normal University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5281/ZENODO.9460","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
For any positive integer a,let S(a) denote the Smarandache function of a.Let n be a positive integer.If n satisfies ∑d|nS(d)=n+1+S(n),then n is called a Smarandache perfect number.ln this paper we prove that 12 the only Smarandache prefect number.