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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012)
  6. On repdigits as product of consecutive Fibonacci numbers
 
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On repdigits as product of consecutive Fibonacci numbers

Marques, Diego
•
Togbé, Alain
2012
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ISSN
0049-4704
http://hdl.handle.net/10077/8302
  • Article

Abstract
Let (F$_{n}$)$_{n\geq0}$ be the Fibonacci sequence. In 2000, F. Luca proved that F10 = 55 is the largest repdigit (i.e. a number with only one distinct digit in its decimal expansion) in the Fibonacci sequence. In this note, we show that if Fn · · · F$_{n+(k-1)}$ is a repdigit, with at least two digits, then (k, n) = (1, 10).
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
44 (2012)
Subjects
  • Fibonacci

  • repdigits

  • sequences (mod m)

Publisher
EUT Edizioni Università di Trieste
Source
Diego Marques and Alain Togbé, "On repdigits as product of consecutive Fibonacci numbers", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 44 (2012), pp. 393–397
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en
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