MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
FIBONACCI NUMBERS WHICH ARE CONCATENATIONS OF THREE REPDIGITS
F. Erduvan, R. Keskin

Abstract

In this study, it is proved that the only Fibonacci numbers which are concatenations of three repdigits are $144$, $233$, $377$, $610$, $987$, $17711$.

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Keywords: Fibonacci number; concatenations; repdigit; Diophantine equations; linear forms in logarithms.

MSC: 11B39, 11J86, 11D61

Pages:  155--162     

Volume  74 ,  Issue  3 ,  2022