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pernicious n.  and  unprimeable n.

First numbers that belong to both sets:

200, 206, 208, 320, 322, 324, 328, 514, 515, 516, 518, 530, 532, 535, 536, 620, 625, 626, 628, 842, 844, 890, 892, 896, 1070, 1072, 1075, 1078, 1130, 1132, 1135, 1138, 1140, 1144, 1262, 1264, 1330, 1332, 1335, 1336, 1342, 1344, 1350, 1354, 1356, 1414, 1418, 1462, 1465, 1466, 1468, 1500, 1504, 1640, 1645, 1646, 1648, 1670, 1674, 1676, 1682, 1684, 1688, 1710, 1712, 1715, 1718, 1760, 1765, 1766, 1792, 1795, 1798, 1850, 1852, 1858, 1894, 1898, 1922, 1924, 1928, 1962, 1964, 2072, 2075, 2078, 2102, 2105, 2106, 2108, 2180, 2184, 2190, 2192, 2195, 2198, 2320, 2325, 2326, 2360, 2365, 2366, 2368, 2402, 2404, 2408, 2480, 2485, 2486, 2490, 2492, 2498, 2510, 2512, 2515, 2518, 2560, 2562, 2564, 2568, 2582, 2585, 2586, 2588, 2822, 2825, 2826, 2828, 2945, 2946, 2948, 2982, 2985, 2986, 2988, 3056, 3094, 3098, 3142, 3145, 3146, 3148, 3154, 3156, 3170, 3172, 3175, 3176, 3230, 3234, 3236, 3240, 3245, 3246, 3248, 3260, 3265, 3266, 3268, 3280, 3285, 3286, 3420, 3424, 3470, 3472, 3475, 3478, 3482, 3484, 3488, 3500, 3505, 3506, 3508, 3560, 3568, 3662, 3664, 3680, 3685, 3686, 3740, 3744, 3750, 3754, 3756, 3782, 3785, 3786, 3788, 3810, 3812, 3816, 3890, 3892, 3896, 3952, 3974, 3978, 3992, 4034, 4036, 4064, 4100, 4102, 4104, 4105, 4106, 4108, 4142, 4144, 4160, 4162, 4164, 4168, 4182, 4185, 4186, 4188, 4192, 4195, 4198, 4300, 4305, 4306, 4308, 4312, 4315, 4318, 4380, 4384, 4414, 4416, 4434, 4436, 4470, 4474, 4476, 4534, 4538, 4552, 4555, 4558, 4570, 4572, 4576, 4610, 4612, 4615, 4616, 4682, 4684, 4712, 4715, 4718, 4742, 4745, 4746, 4748, 4760, 4765, 4766, 4770, 4772, 4775, 4776, 4822, 4825, 4826, 4828, 4842, 4844, 4850, 4852, 4856, 4894, 4898, 4922, 4924.

Some larger examples :