On the Diophantine equation (p + 2)x ? p y = z 2 , where p is prime and p ? 5 (mod 24)

被引：0

作者：

Tadee, Suton ^{[1
]}

Laomalaw, Napalai ^{[1
]}

机构：

[1] Thepsatri Rajabhat Univ, Dept Math, Fac Sci & Technol, Lopburi 15000, Thailand

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2023年 / 18卷 / 02期

关键词：

Diophantine equation; Mihailescu's Theorem;

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 show that (0,0, 0) is the unique non-negative integer solution (x, y, z) for the Diophantine equation (p + 2)(x) - p(y) = z(2), where p is prime and p= 5 (mod 24).

引用

页码：149 / 152

页数：4

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