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Chen prime  and  evil n.

First numbers that belong to both sets:

3, 5, 17, 23, 29, 53, 71, 83, 89, 101, 113, 139, 149, 197, 257, 263, 269, 281, 293, 311, 317, 337, 347, 353, 359, 389, 401, 449, 461, 467, 479, 503, 509, 571, 599, 683, 751, 797, 811, 821, 839, 857, 863, 881, 887, 937, 977, 983, 1031, 1049, 1061, 1091, 1097, 1117, 1151, 1217, 1229, 1277, 1283, 1289, 1297, 1319, 1381, 1399, 1409, 1427, 1439, 1481, 1487, 1499, 1511, 1553, 1559, 1601, 1607, 1619, 1621, 1637, 1733, 1847, 1871, 1889, 1901, 1907, 1913, 1949, 1997, 2003, 2039, 2069, 2129, 2141, 2179, 2251, 2281, 2309, 2333, 2357, 2381, 2389, 2393, 2417, 2467, 2549, 2659, 2699, 2719, 2729, 2837, 2857, 2897, 2909, 2971, 3089, 3137, 3167, 3191, 3221, 3259, 3307, 3329, 3347, 3359, 3389, 3407, 3461, 3527, 3539, 3541, 3557, 3581, 3671, 3677, 3691, 3797, 3863, 3917, 3929, 3989, 4049, 4127, 4133, 4157, 4211, 4217, 4229, 4241, 4289, 4337, 4349, 4357, 4391, 4397, 4409, 4441, 4447, 4451, 4481, 4517, 4547, 4567, 4637, 4679, 4703, 4721, 4733, 4817, 4871, 4889, 4931, 4937, 4967, 5009, 5021, 5077, 5087, 5147, 5153, 5171, 5197, 5231, 5261, 5279, 5297, 5303, 5309, 5351, 5387, 5417, 5431, 5483, 5507, 5519, 5531, 5581, 5639, 5651, 5657, 5669, 5701, 5711, 5741, 5813, 5849, 5879, 5897, 5903, 5939, 5987, 6007, 6011, 6029, 6047, 6089, 6113, 6131, 6143, 6197, 6257, 6269, 6359, 6421, 6449, 6481, 6491, 6521, 6551, 6581, 6737, 6827, 6841, 6869, 6977, 6997, 7001, 7109, 7121, 7127, 7193, 7229, 7247, 7349, 7433, 7451, 7457, 7481, 7487, 7499, 7507, 7529, 7547, 7559, 7589, 7607, 7649, 7669, 7757, 7793, 7829, 7877, 7901, 7937, 7949, 8009, 8069, 8081, 8087, 8093, 8117, 8147, 8329, 8501, 8537, 8543, 8597, 8663, 8707, 8747, 8779, 8887.

Some larger examples :