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

共 50 条

[1] ON THE DIOPHANTINE EQUATION x2 + C=2yn
Abu Muriefah, Fadwa S.
Luca, Florian
Siksek, Samir
Tengely, Szabolcs
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2009, 5 (06) : 1117 - 1128
[2] On the diophantine equation x2 + 2 = yn
Sury B.
Archiv der Mathematik, 2000, 74 (5) : 350 - 355
[3] An Exponential Diophantine Equation x2
Muthuvel, S.
Venkatraman, R.
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2024, 19 (04): : 1125 - 1128
[4] On the diophantine equation x2 + p2k = yn
Attila Bérczes
István Pink
Archiv der Mathematik, 2008, 91 : 505 - 517
[5] On the diophantine equation x2 + p2k = yn
Berczes, Attila
Pink, Istvan
ARCHIV DER MATHEMATIK, 2008, 91 (06) : 505 - 517
[6] ON THE DIOPHANTINE EQUATION x2 + d2l+1 = yn
Berczes, Attila
Pink, Istvan
GLASGOW MATHEMATICAL JOURNAL, 2012, 54 (02) : 415 - 428
[7] On the diophantine equation x2 + 2a · 19b = yn
Gökhan Soydan
Maciej Ulas
Hui Lin Zhu
Indian Journal of Pure and Applied Mathematics, 2012, 43 : 251 - 261
[8] ON THE EXPONENTIAL DIOPHANTINE EQUATION x2 + p2m=2yn
Zhu, Huilin
Le, Maohua
Togbe, Alain
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 86 (02) : 303 - 314
[9] Solutions to the Diophantine Equation x2
Yow, Kai Siong
Sapar, Siti Hasana
Low, Cheng Yaw
MALAYSIAN JOURNAL OF FUNDAMENTAL AND APPLIED SCIENCES, 2022, 18 (04): : 489 - 496
[10] ON THE DIOPHANTINE EQUATION x2 + C = yn, FOR C=2a3b17c AND C=2a13b17c
Godinho, Hemar
Marques, Diego
Togbe, Alain
MATHEMATICA SLOVACA, 2016, 66 (03) : 565 - 574

← 1 2 3 4 5 →