{"title":"On the Diophantine Equation 15x – 13y = z2","authors":"S. Thongnak, W. Chuayjan, T. Kaewong","doi":"10.22457/apam.v27n1a05896","DOIUrl":null,"url":null,"abstract":"In this article, we prove that the Diophantine equation 15x – 13y = z2 has nonnegative integer solution. The result reveals that the solution (x, y, z) = (0, 0, 0). Keywords: Diophantine equation; factoring method; modular arithmetic method","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"80 4","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/apam.v27n1a05896","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this article, we prove that the Diophantine equation 15x – 13y = z2 has nonnegative integer solution. The result reveals that the solution (x, y, z) = (0, 0, 0). Keywords: Diophantine equation; factoring method; modular arithmetic method
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