{"title":"The Smarandache Perfect Numbers","authors":"Le Mao-hua","doi":"10.5281/ZENODO.9460","DOIUrl":"https://doi.org/10.5281/ZENODO.9460","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":0.0,"publicationDate":"2006-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88964733","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}