{"title":"On the Diophantine Equation (p+6)x - p y = z2 where p is a Prime Number with p ≡ 1 (mod 28)","authors":"S. Tadee","doi":"10.22457/jmi.v23a05213","DOIUrl":null,"url":null,"abstract":"This paper shows that the Diophantine equation (p+6)x - p y = z2 where p is a prime number with p ≡ 1 (mod 28), has a unique non-negative integer solution. The solution is ( , , ) (0,0,0) x y z = .","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"47 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics Statistics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/jmi.v23a05213","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
This paper shows that the Diophantine equation (p+6)x - p y = z2 where p is a prime number with p ≡ 1 (mod 28), has a unique non-negative integer solution. The solution is ( , , ) (0,0,0) x y z = .
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