{"title":"丢番图方程(p+6)x - p y = z2,其中p是素数,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":"{\"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}","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
摘要
本文证明了丢芬图方程(p+6)x - p y = z2,其中p是素数,且p≡1 (mod 28),具有唯一的非负整数解。解是(,,)(0,0,0)x y z =。
On the Diophantine Equation (p+6)x - p y = z2 where p is a Prime Number with p ≡ 1 (mod 28)
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 = .