PELL AND PELL-LUCAS NUMBERS WHICH ARE CONCATENATIONS OF TWO REPDIGITS

被引：0

作者：

Duman, Merve Guney ^{[1
]}

Erduvan, Fatih ^{[2
]}

机构：

[1] Sakarya Univ Appl Sci, Fundamental Sci Engn, Sakarya, Turkiye

[2] Namik Kemal High Sch, MEB, Kocaeli, Turkiye

来源：

HONAM MATHEMATICAL JOURNAL | 2023年 / 45卷 / 04期

关键词：

Pell and Pell-Lucas numbers; concatenations; linear forms in logarithms; exponential Diophantine equations; FIBONACCI;

D O I：

10.5831/HMJ.2023.45.4.572

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we search for Pell and Pell-Lucas numbers, which are concatenations of two repdigits and find these numbers to be only 12, 29, 70 and 14, 34, 82, respectively. We use Baker's Theory and Baker-Davenport basis reduction method while finding the solutions.

引用

页码：572 / 584

页数：13

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