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arithmetic n.  and  idoneal n.

First numbers that belong to both sets:

1, 3, 5, 6, 7, 13, 15, 21, 22, 30, 33, 37, 42, 45, 57, 60, 70, 78, 85, 93, 102, 105, 133, 165, 168, 177, 190, 210, 253, 273, 280, 330, 345, 357, 385, 462, 840, 1320, 1365, 1848.