Fibonacci numbers which are concatenations of two repdigits

被引：34
|
作者：
Alahmadi, Adel [1 ]
Altassan, Alaa [1 ]
Luca, Florian [1 ,2 ,3 ]
Shoaib, Hatoon [1 ]
机构：
[1] King Abdulaziz Univ, Res Grp Algebra Struct & Its Applicat, Jeddah, Saudi Arabia
[2] Univ Witwatersrand, Sch Math, Johannesburg, South Africa
[3] Max Planck Inst Math, Bonn, Germany
来源：
QUAESTIONES MATHEMATICAE | 2021年 / 44卷 / 02期
关键词：
Fibonacci numbers; repdigit; linear forms in complex logarithms;
D O I：
10.2989/16073606.2019.1686439
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the only Fibonacci numbers that are concatenations of two repdigits are 13, 21, 34, 55, 89, 144, 233, 377.
引用
收藏
页码：281 / 290
页数：10
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