{"title":"当y > 3时丢番图方程p3 + qy = z3具有异奇素数p, q的所有解","authors":"N. Burshtein","doi":"10.22457/jmi.v20a01188","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the equation p + q = z in which p, q assume distinct odd primes and z is a positive integer. Then, for all possible in tegers y > 3, the equation p + q = z has no solutions.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"75 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2020-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"All the Solutions of the Diophantine Equation p3 + qy = z3 with Distinct Odd Primes p, q when y > 3\",\"authors\":\"N. Burshtein\",\"doi\":\"10.22457/jmi.v20a01188\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the equation p + q = z in which p, q assume distinct odd primes and z is a positive integer. Then, for all possible in tegers y > 3, the equation p + q = z has no solutions.\",\"PeriodicalId\":43016,\"journal\":{\"name\":\"Journal of Applied Mathematics Statistics and Informatics\",\"volume\":\"75 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2020-01-23\",\"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.v20a01188\",\"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.v20a01188","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
All the Solutions of the Diophantine Equation p3 + qy = z3 with Distinct Odd Primes p, q when y > 3
In this paper, we consider the equation p + q = z in which p, q assume distinct odd primes and z is a positive integer. Then, for all possible in tegers y > 3, the equation p + q = z has no solutions.