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hexagonal n.  and  repunit

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(max 15 digits)

First numbers that belong to both sets:

15, 91, 703, 7381, 12720, 104653, 597871, 810901, 48427561, 120769111, 935778691, 3922632451, 139367449081, 317733228541, 1079887798153, 25736391511831, 160829915470003.