Fibonacci and Lucas numbers as products of two repdigits

Authors

FATİH ERDUVAN
REFİK KESKİN

DOI

10.3906/mat-1905-24

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 $L_{6}=18=2\cdot 9=3\cdot 6.$

Keywords

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

First Page

2142

Last Page

2153

Recommended Citation

ERDUVAN, FATİH and KESKİN, REFİK (2019) "Fibonacci and Lucas numbers as products of two repdigits," Turkish Journal of Mathematics: Vol. 43: No. 5, Article 5. https://doi.org/10.3906/mat-1905-24
Available at: https://journals.tubitak.gov.tr/math/vol43/iss5/5