Geodesic
Can a Lucas number be a sum of three repdigits?
Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 3, pp. 383-396.

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We give the answer to the question in the title by proving that \begin{equation*} L_{18} = 5778 = 5555 + 222 + 1 \end{equation*} is the largest Lucas number expressible as a sum of exactly three repdigits. Therefore, there are many Lucas numbers which are sums of three repdigits.
DOI : 10.14712/1213-7243.2020.028
Classification : 11A25, 11B39, 11J86
Keywords: Pell equation; repdigit; linear forms in complex logarithms 
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Adegbindin, Chèfiath A.; Togbé, Alain. Can a Lucas number be a sum of three repdigits?. Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 3, pp. 383-396. doi : 10.14712/1213-7243.2020.028. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.028/

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