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evil n.  and  unprimeable n.

First numbers that belong to both sets:

204, 320, 325, 326, 510, 514, 516, 534, 538, 622, 624, 840, 845, 846, 848, 894, 898, 1074, 1076, 1134, 1136, 1142, 1145, 1146, 1148, 1260, 1265, 1266, 1268, 1334, 1338, 1340, 1345, 1346, 1348, 1352, 1355, 1358, 1410, 1412, 1415, 1416, 1460, 1464, 1502, 1505, 1506, 1508, 1642, 1644, 1672, 1675, 1678, 1680, 1685, 1686, 1714, 1716, 1762, 1764, 1768, 1794, 1796, 1854, 1856, 1890, 1892, 1895, 1896, 1920, 1925, 1926, 1960, 1965, 1966, 1968, 2040, 2045, 2046, 2070, 2074, 2076, 2100, 2104, 2182, 2185, 2186, 2188, 2194, 2196, 2322, 2324, 2328, 2362, 2364, 2400, 2405, 2406, 2482, 2484, 2488, 2494, 2496, 2514, 2516, 2560, 2565, 2566, 2580, 2584, 2820, 2824, 2940, 2944, 2980, 2984, 3050, 3052, 3055, 3058, 3090, 3092, 3095, 3096, 3140, 3144, 3150, 3152, 3155, 3158, 3174, 3178, 3232, 3235, 3238, 3242, 3244, 3262, 3264, 3282, 3284, 3288, 3422, 3425, 3426, 3428, 3474, 3476, 3480, 3485, 3486, 3502, 3504, 3562, 3564, 3660, 3665, 3666, 3668, 3682, 3684, 3688, 3742, 3745, 3746, 3748, 3752, 3755, 3758, 3780, 3784, 3814, 3818, 3894, 3898, 3954, 3956, 3970, 3972, 3975, 3976, 3990, 3994, 3996, 4030, 4032, 4035, 4038, 4062, 4065, 4066, 4068, 4080, 4085, 4086, 4100, 4104, 4140, 4145, 4146, 4148, 4160, 4165, 4166, 4180, 4184, 4190, 4194, 4196, 4302, 4304, 4310, 4314, 4316, 4382, 4385, 4386, 4388, 4410, 4412, 4415, 4418, 4430, 4432, 4435, 4438, 4472, 4475, 4478, 4530, 4532, 4535, 4536, 4550, 4554, 4556, 4574, 4578, 4614, 4618, 4680, 4685, 4686, 4688, 4710, 4714, 4716, 4740, 4744, 4762, 4764, 4768, 4774, 4778, 4820, 4824, 4840, 4845, 4846, 4848, 4854, 4858, 4890, 4892, 4895, 4896, 4920, 4925, 4926, 4928, 5040, 5045, 5046, 5060, 5064, 5120, 5125, 5126, 5130, 5132.

Some larger examples :