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Turkish Journal of Mathematics

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

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