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wasteful n.  and  Woodall n.

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(max 15 digits)

First numbers that belong to both sets:

63, 80, 323, 895, 1023, 2499, 4607, 15308, 15624, 22527, 38879, 49151, 93749, 114687, 177146, 546874, 705893, 1048575, 1948616, 1959551, 2228223, 2359295, 5764800, 9961471.