{"title":"关于指数丢番图方程()()x y p p z + + = 2 2 5 6当p p， + 2和5 6 p+是素数","authors":"S. Thongnak, T. Kaewong, W. Chuayjan","doi":"10.22457/apam.v23n2a08827","DOIUrl":null,"url":null,"abstract":"In this work, we prove that the exponential Diophantine equation ( ) ( ) 2 2 5 6 x y p p z + + + = has no solution when p p, 2 + and 5 6 p + are primes, and x y z , , are non-negative integers.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"200 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Exponential Diophantine Equation ( ) ( ) x y p p z + + + = 2 2 5 6 when p p, + 2 and 5 6 p+ are Primes\",\"authors\":\"S. Thongnak, T. Kaewong, W. Chuayjan\",\"doi\":\"10.22457/apam.v23n2a08827\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we prove that the exponential Diophantine equation ( ) ( ) 2 2 5 6 x y p p z + + + = has no solution when p p, 2 + and 5 6 p + are primes, and x y z , , are non-negative integers.\",\"PeriodicalId\":305863,\"journal\":{\"name\":\"Annals of Pure and Applied Mathematics\",\"volume\":\"200 1\",\"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.v23n2a08827\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/apam.v23n2a08827","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文证明了指数丢芬图方程()()2 2 5 6 x y p p z + + =在p p, 2 +和5 6 p +为素数，x y z，，为非负整数时无解。
On the Exponential Diophantine Equation ( ) ( ) x y p p z + + + = 2 2 5 6 when p p, + 2 and 5 6 p+ are Primes
In this work, we prove that the exponential Diophantine equation ( ) ( ) 2 2 5 6 x y p p z + + + = has no solution when p p, 2 + and 5 6 p + are primes, and x y z , , are non-negative integers.
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