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amenable n.  and  Chen prime

First numbers that belong to both sets:

5, 13, 17, 29, 37, 41, 53, 89, 101, 109, 113, 137, 149, 157, 181, 197, 233, 257, 269, 281, 293, 317, 337, 353, 389, 401, 409, 449, 461, 509, 521, 541, 557, 569, 577, 617, 641, 653, 677, 701, 761, 769, 797, 809, 821, 829, 857, 877, 881, 937, 941, 953, 977, 1009, 1049, 1061, 1097, 1109, 1117, 1193, 1201, 1217, 1229, 1277, 1289, 1297, 1301, 1361, 1381, 1409, 1481, 1553, 1601, 1621, 1637, 1669, 1697, 1709, 1721, 1733, 1777, 1801, 1877, 1889, 1901, 1913, 1949, 1997, 2017, 2029, 2069, 2081, 2129, 2141, 2153, 2213, 2237, 2269, 2281, 2309, 2333, 2357, 2381, 2389, 2393, 2417, 2441, 2477, 2549, 2557, 2609, 2621, 2657, 2729, 2741, 2777, 2789, 2801, 2837, 2857, 2861, 2897, 2909, 2957, 2969, 3037, 3041, 3061, 3089, 3137, 3181, 3221, 3257, 3329, 3389, 3413, 3457, 3461, 3541, 3557, 3581, 3593, 3637, 3677, 3709, 3761, 3797, 3821, 3881, 3889, 3917, 3929, 3989, 4001, 4049, 4133, 4157, 4217, 4229, 4241, 4289, 4297, 4337, 4349, 4357, 4397, 4409, 4421, 4441, 4481, 4517, 4637, 4649, 4657, 4721, 4733, 4789, 4801, 4817, 4861, 4889, 4909, 4937, 4969, 5009, 5021, 5077, 5153, 5189, 5197, 5261, 5297, 5309, 5381, 5417, 5441, 5477, 5501, 5581, 5657, 5669, 5701, 5737, 5741, 5801, 5813, 5849, 5897, 5981, 6029, 6089, 6101, 6113, 6197, 6257, 6269, 6317, 6329, 6337, 6421, 6449, 6481, 6521, 6569, 6581, 6637, 6661, 6689, 6701, 6709, 6737, 6761, 6833, 6841, 6869, 6977, 6997, 7001, 7069, 7109, 7121, 7129, 7177, 7193, 7229, 7253, 7309, 7321, 7349, 7417, 7433, 7457, 7481, 7517, 7529, 7541, 7561, 7589, 7649, 7669, 7757, 7793, 7817, 7829, 7853, 7877, 7901, 7937, 7949, 8009, 8069, 8081, 8093, 8117, 8221, 8297, 8329, 8369, 8389, 8429.

Some larger examples :