FIBONACCI NUMBERS WHICH ARE CONCATENATIONS OF THREE REPDIGITS

Authors

  • F. Erduvan Sakarya University, Mathematics Department, Sakarya, Turkey Author
  • R. Keskin Sakarya University, Mathematics Department, Sakarya, Turkey Author

Keywords:

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

Subjects:

11B39, 11J86, 11D61

Abstract

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

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Published

2022-07-15

Issue

Vol. 74 No. 3 (2022): Vol. 74, Issue 3

Section

Articles

License

Copyright (c) 2022 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.