{"title":"丢芬图方程2x + 11y = z2和19x + 29y = z2在正整数x, y, z中是不可解的","authors":"N. Burshtein","doi":"10.22457/apam.v22n2a07799","DOIUrl":null,"url":null,"abstract":"In this article, the author has investigated the equations 2x + 11y = z 2 and 19x + 29y = z 2 with positive integers x, y, z. It was established that both equations have no solutions.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Diophantine Equations 2x + 11y = z 2 and 19x + 29y = z 2 are Insolvable in Positive Integers x, y, z\",\"authors\":\"N. Burshtein\",\"doi\":\"10.22457/apam.v22n2a07799\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, the author has investigated the equations 2x + 11y = z 2 and 19x + 29y = z 2 with positive integers x, y, z. It was established that both equations have no solutions.\",\"PeriodicalId\":305863,\"journal\":{\"name\":\"Annals of Pure and Applied Mathematics\",\"volume\":\"11 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.v22n2a07799\",\"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.v22n2a07799","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Diophantine Equations 2x + 11y = z 2 and 19x + 29y = z 2 are Insolvable in Positive Integers x, y, z
In this article, the author has investigated the equations 2x + 11y = z 2 and 19x + 29y = z 2 with positive integers x, y, z. It was established that both equations have no solutions.