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cubic n.  and  Curzon n.

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(max 15 digits)

First numbers that belong to both sets:

1, 125, 729, 9261, 24389, 185193, 456533, 3307949, 4492125, 6331625, 7645373, 10793861, 13312053, 15438249, 19465109, 26198073, 33076161, 45499293, 114084125, 154854153, 161878625.