Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/8302
Title: On repdigits as product of consecutive Fibonacci numbers
Authors: Marques, Diego
Togbé, Alain
Keywords: Fibonaccirepdigitssequences (mod m)
Issue Date: 2012
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
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
44 (2012)
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).
Type: Article
URI: http://hdl.handle.net/10077/8302
ISSN: 0049-4704
Appears in Collections:Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012)

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