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Let $ \{P_{n}\}_{n\geq 0} $ be the sequence of Padovan numbers defined by $P_0=0 $, $ P_1 =1=P_2$ and $ P_{n+3}= P_{n+1} +P_n$ for all $ n\geq 0 $. Inthis paper, we find all repdigits in base $ 10 $ which can be written as a sumof three Padovan numbers.

Repdigits as sums of three Padovan numbers