Abstract

In this study, it is shown that the largest Fibonacci number that is the product of two repdigits is $F_{10}=55=5\cdot 11=55\cdot 1$ and the largest Lucas number that is the product of two repdigits is $L_{6}=18=2\cdot 9=3\cdot 6.$

DOI

10.3906/mat-1905-24

Keywords

Fibonacci number, Lucas number, repdigit, Diophantine equations, linear forms in logarithms

First Page

2142

Last Page

2153

Recommended Citation

ERDUVAN, F, & KESKİN, R (2019). Fibonacci and Lucas numbers as products of two repdigits. Turkish Journal of Mathematics 43 (5): 2142-2153. https://doi.org/10.3906/mat-1905-24

Download