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equidigital n.  and  Leyland n.

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(max 15 digits)

First numbers that belong to both sets:

17, 32, 145, 177, 320, 593, 1649, 20412, 23401, 32993, 65792, 69632, 131361, 268705, 1058576, 1941760, 2097593, 4785713, 9865625, 16777792.