Abstract

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

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

MSC: 11B39, 11J86, 11D61

Pages:  155--162     

Volume  74 ,  Issue  3 ,  2022