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On repdigits as product of consecutive Fibonacci numbers
Marques, Diego
Togbé, Alain
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).
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
44 (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
Languages
en
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