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sphenic n.  and  unprimeable n.

First numbers that belong to both sets:

322, 518, 530, 534, 890, 894, 1070, 1074, 1130, 1146, 1265, 1266, 1334, 1335, 1338, 1342, 1358, 1414, 1462, 1505, 1506, 1645, 1670, 1686, 1790, 1798, 1855, 1898, 1965, 2074, 2185, 2198, 2365, 2405, 2406, 2482, 2485, 2486, 2494, 2510, 2514, 2585, 2586, 2822, 2945, 2946, 2985, 3054, 3055, 3058, 3145, 3154, 3170, 3178, 3245, 3246, 3262, 3266, 3282, 3286, 3422, 3426, 3470, 3478, 3485, 3502, 3562, 3565, 3682, 3685, 3686, 3745, 3782, 3786, 3815, 3818, 3890, 3895, 3954, 3955, 3970, 3995, 4035, 4038, 4062, 4065, 4066, 4082, 4085, 4102, 4142, 4146, 4190, 4310, 4314, 4318, 4382, 4430, 4434, 4438, 4558, 4570, 4610, 4614, 4615, 4715, 4718, 4745, 4826, 4854, 4858, 4895, 4898, 4922, 4926, 5066, 5122, 5126, 5134, 5135, 5138, 5210, 5215, 5246, 5254, 5258, 5362, 5365, 5466, 5494, 5495, 5542, 5546, 5605, 5614, 5678, 5726, 5762, 5918, 5945, 5946, 5962, 5966, 5974, 5990, 5995, 6182, 6186, 6234, 6235, 6410, 6414, 6430, 6530, 6538, 6645, 6745, 6754, 6755, 6758, 6815, 6818, 6935, 7085, 7086, 7090, 7138, 7270, 7278, 7374, 7385, 7386, 7422, 7426, 7610, 7618, 7654, 7658, 7730, 7734, 7738, 7766, 7802, 7805, 7806, 7898, 7970, 7982, 8074, 8078, 8138, 8155, 8255, 8302, 8305, 8338, 8342, 8390, 8394, 8395, 8454, 8455, 8474, 8494, 8498, 8555, 8558, 8614, 8618, 8630, 8634, 8635, 8638, 8655, 8798, 8854, 8858, 8870, 8878, 8905, 8906, 8985, 9035, 9070, 9074, 9082, 9085, 9110, 9118, 9142, 9145, 9146, 9214, 9215, 9218, 9262, 9265, 9266, 9354, 9362, 9454, 9455, 9482, 9485, 9562, 9595, 9654, 9658, 9705, 9706, 9770, 9845, 9910, 9915, 9955, 9958, 9994, 10014, 10054, 10058, 10126, 10205, 10235, 10295, 10298, 10382, 10385, 10402, 10414, 10442, 10446, 10574, 10642, 10678, 10742, 10745, 10766, 10802, 10806, 10822.

Some larger examples :