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interprime n.  and  sphenic n.

First numbers that belong to both sets:

30, 42, 102, 105, 138, 154, 165, 170, 186, 195, 231, 246, 266, 282, 370, 399, 426, 465, 483, 506, 574, 582, 590, 610, 615, 618, 642, 645, 705, 730, 741, 754, 759, 822, 834, 861, 885, 897, 915, 969, 987, 994, 1066, 1095, 1106, 1113, 1158, 1281, 1370, 1390, 1443, 1491, 1505, 1551, 1581, 1599, 1695, 1698, 1869, 1878, 1910, 1990, 2001, 2014, 2022, 2082, 2085, 2094, 2121, 2134, 2139, 2238, 2247, 2290, 2354, 2379, 2382, 2405, 2414, 2526, 2546, 2585, 2613, 2658, 2667, 2674, 2685, 2703, 2751, 2794, 2802, 2847, 2922, 2946, 2955, 2985, 3021, 3055, 3081, 3129, 3165, 3206, 3219, 3310, 3345, 3399, 3423, 3441, 3462, 3495, 3514, 3522, 3531, 3558, 3565, 3615, 3634, 3714, 3723, 3730, 3786, 3858, 3914, 3918, 3926, 3945, 3995, 4010, 4038, 4065, 4085, 4146, 4155, 4206, 4382, 4403, 4454, 4521, 4587, 4638, 4646, 4654, 4697, 4722, 4726, 4731, 4755, 4807, 4866, 4906, 4947, 4962, 4990, 5055, 5133, 5235, 5289, 5306, 5410, 5442, 5446, 5505, 5529, 5649, 5691, 5727, 5781, 5817, 5846, 5889, 5946, 6070, 6126, 6198, 6214, 6266, 6293, 6306, 6409, 6477, 6538, 6549, 6558, 6574, 6590, 6603, 6645, 6702, 6706, 6735, 6771, 6837, 6969, 6974, 6987, 6994, 7190, 7302, 7414, 7494, 7503, 7526, 7539, 7554, 7567, 7689, 7701, 7734, 7805, 7847, 7870, 7881, 7923, 8169, 8323, 8366, 8421, 8426, 8437, 8445, 8454, 8517, 8538, 8589, 8598, 8635, 8655, 8666, 8679, 8734, 8770, 8805, 8826, 8834, 8877, 8931, 8985, 9021, 9035, 9106, 9118, 9154, 9159, 9215, 9321, 9339, 9374, 9426, 9465, 9470, 9485, 9494, 9669, 9678, 9741, 9746, 9789, 9807, 9814, 9823, 9831, 9845, 9854, 9877, 9885, 9915, 9926, 9958, 9970, 10023, 10155, 10245, 10263, 10281, 10295, 10317, 10326, 10461, 10482, 10507.

Some larger examples :