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repdigit  and  repunit

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(max 15 digits)

First numbers that belong to both sets:

7, 111, 1111, 11111, 111111, 1111111, 11111111, 111111111, 1111111111, 11111111111, 111111111111, 1111111111111, 11111111111111, 111111111111111.