{"title":"On the Diophantine Equation ax +(a +2)y = z2 Where a ≡ 5 (mod 42)","authors":"Rakporn Dokchann, A. Pakapongpun","doi":"10.2478/tmmp-2020-0030","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we show that the Diophantine equation ax +(a +2)y = z2, where a ≡ 5 (mod 42) and a ∈ ℕ has no solution in non-negative integers.","PeriodicalId":38690,"journal":{"name":"Tatra Mountains Mathematical Publications","volume":"77 1","pages":"39 - 42"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tatra Mountains Mathematical Publications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/tmmp-2020-0030","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
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Abstract
Abstract In this paper, we show that the Diophantine equation ax +(a +2)y = z2, where a ≡ 5 (mod 42) and a ∈ ℕ has no solution in non-negative integers.
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