On the Diophantine equation x2 + C = yn

被引：0

作者：

Rayaguru, Sai Gopal ^{[1
]}

机构：

[1] Siksha O Anusandhan Univ, Ctr Data Sci, Bhubaneswar 751030, Odisha, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2024年 / 55卷 / 01期

关键词：

Diophantine equation; Integer solution; S-integers; Lucas sequence; Primitive divisors; X(2)+2(A);

D O I：

10.1007/s13226-022-00347-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we solve the Diophantine equation x(2) + C = y(n) in positive integers x, y >= 1; k, l, m >= 0 and n >= 3 with gcd (x, y) = 1, when C = 2(k)73(l)41(m) and C = 2(k)73(l)89(m).

引用

页码：69 / 77

页数：9

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