On the Diophantine equation 7x

被引：0
作者：
Tangjai, Wipawee [1 ,2 ]
Chaeoueng, Suveera [1 ]
Phumchaichot, Naruemon [1 ]
机构：
[1] Mahasarakham Univ, Fac Sci, Dept Math, Maha Sarakham, Thailand
[2] Mahasarakham Univ, Data Innovat & Publ Policy Engn Res Unit, Maha Sarakham, Thailand
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2022年 / 17卷 / 04期
关键词：
Diophantine equation; congruence; prime number;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Diophantine equation 7(x) + 5p(y) = z(2) , where p is a prime number. We show that if p 1,2,4 (mod 7), then the equation has no non-negative integer solution (x, y, z). We also give a necessary condition of the solution, if any, for the case p 3, 5, 6 (mod 7) when x is even.
引用
收藏
页码：1483 / 1489
页数：7
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