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interprime n.  and  semiprime

First numbers that belong to both sets:

4, 6, 9, 15, 21, 26, 34, 39, 69, 86, 93, 111, 129, 134, 205, 217, 254, 274, 309, 334, 381, 386, 393, 446, 453, 473, 489, 501, 515, 566, 667, 687, 723, 771, 803, 879, 933, 939, 974, 1003, 1011, 1126, 1167, 1207, 1226, 1234, 1243, 1286, 1294, 1299, 1313, 1465, 1517, 1527, 1537, 1546, 1563, 1569, 1681, 1795, 1817, 1839, 1895, 1941, 1983, 2066, 2105, 2157, 2191, 2217, 2229, 2271, 2374, 2386, 2391, 2453, 2463, 2554, 2627, 2661, 2811, 2854, 2859, 2906, 2913, 2933, 2966, 3039, 3073, 3086, 3099, 3189, 3197, 3265, 3326, 3337, 3353, 3453, 3459, 3505, 3651, 3665, 3694, 3849, 3898, 3909, 3921, 3937, 3957, 4054, 4105, 4119, 4189, 4286, 4353, 4415, 4449, 4535, 4555, 4594, 4629, 4685, 4742, 4771, 4791, 4846, 4874, 4883, 4954, 4971, 5001, 5006, 5045, 5079, 5093, 5169, 5218, 5249, 5267, 5349, 5366, 5403, 5513, 5631, 5686, 5714, 5739, 5833, 5854, 5933, 5997, 6009, 6033, 6107, 6117, 6157, 6185, 6207, 6238, 6274, 6326, 6333, 6393, 6506, 6613, 6667, 6749, 6866, 6891, 6914, 6999, 7023, 7033, 7041, 7063, 7091, 7115, 7233, 7341, 7402, 7454, 7586, 7597, 7646, 7671, 7747, 7835, 7913, 7957, 7978, 8014, 8097, 8114, 8135, 8185, 8266, 8314, 8341, 8373, 8507, 8553, 8691, 8781, 8813, 8926, 8966, 9046, 9079, 9097, 9167, 9193, 9201, 9206, 9233, 9249, 9267, 9302, 9346, 9527, 9543, 9569, 9607, 9626, 9637, 9655, 9727, 9797, 9865, 10085, 10173, 10187, 10202, 10217, 10363, 10493, 10599, 10645, 10677, 10717, 10762, 10834, 10886, 10897, 11015, 11103, 11267, 11283, 11293, 11314, 11405, 11469, 11477, 11486, 11667, 11829, 11851, 11906, 11947, 12009, 12039, 12085, 12131, 12146, 12153, 12219, 12233, 12266, 12273, 12279, 12295, 12326, 12385, 12417, 12494, 12514, 12533, 12693, 12847, 12871, 12891.

Some larger examples :