A DIOPHANTINE EQUATION AND ITS POSITIVE INTEGER SOLUTIONS

被引：0
|
作者：
Yuan, Xiaodan [1 ]
机构：
[1] Northwest Univ, Sch Math, Xian, Shaanxi, Peoples R China
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2022年 / 56卷
关键词：
Diophantine equation; positive integer solution; greatest common divisor; prime number;
D O I：
10.17654/0972555522024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In 2017, the Diophantine equation 1/x + 1/y + 1/z = 1/3p (*) was preliminarily discussed [12]. The positive integer solutions of some equations derived from (*) were solved, where p = 661. In this paper, this equation (*) is further discussed and its results are supplemented. All the positive integer solutions of the remaining unsolved equations are solved by using simple and elementary methods, which are verified by computer calculation.
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页码：37 / 69
页数：33
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