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pernicious n.  and  repdigit

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(max 15 digits)

First numbers that belong to both sets:

3, 5, 6, 7, 9, 11, 22, 33, 44, 55, 66, 88, 333, 555, 666, 3333, 6666, 7777, 55555, 3333333, 5555555, 6666666.