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emirpimes  and  oban n.

First numbers that belong to both sets:

15, 26, 39, 58, 85, 93, 319, 326, 327, 329, 335, 339, 355, 398, 511, 533, 538, 553, 559, 586, 589, 623, 629, 667, 685, 718, 723, 766, 817, 835, 893, 899, 913, 923, 926, 933, 955, 985, 998.