On the Diophantine equation x2+3a41b = yn

被引：0

作者：

Alan, Murat ^{[1
]}

Zengin, Ugur ^{[1
]}

机构：

[1] Yildiz Tech Univ, Fac Arts & Sci, Dept Math, Davutpasa Campus, TR-34210 Istanbul, Turkey

来源：

PERIODICA MATHEMATICA HUNGARICA | 2020年 / 81卷 / 02期

关键词：

Diophantine equations; Ramanujan-Nagell equations; Primitive divisor theorem; X(2)+2(A);

D O I：

10.1007/s10998-020-00321-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we find all positive integer solutions (x, y, n, a, b) of the equation in the title for non negative integers a and b under the condition that the integers x and y are relatively prime and n >= 3.

引用

页码：284 / 291

页数：8

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[1] On the Diophantine equation x2+3a41b=yn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x^2+3^a41^b=y^n $$\end{document}
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