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Can a Lucas number be a sum of three repdigits?

Chèfiath A. Adegbindin; Alain Togbé — 2020

Commentationes Mathematicae Universitatis Carolinae

We give the answer to the question in the title by proving that $L_{18} = 5778 = 5555 + 222 + 1$ 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.

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