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amenable n.  and  primeval n.

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(max 15 digits)

First numbers that belong to both sets:

1, 13, 37, 113, 137, 1013, 1037, 1237, 10136, 10237, 101237, 1001237, 1012349, 1023457, 10012349, 10023457, 10123457, 10123469, 100123457, 100123469.