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amenable n.  and  emirpimes

First numbers that belong to both sets:

49, 85, 93, 129, 169, 177, 185, 205, 221, 265, 289, 321, 329, 341, 381, 413, 437, 493, 497, 533, 553, 581, 589, 629, 685, 781, 817, 893, 913, 921, 933, 961, 985, 1041, 1057, 1101, 1121, 1137, 1141, 1145, 1149, 1165, 1169, 1177, 1253, 1273, 1293, 1313, 1317, 1357, 1401, 1405, 1417, 1437, 1461, 1469, 1497, 1513, 1561, 1569, 1577, 1641, 1717, 1757, 1761, 1765, 1769, 1797, 1817, 1849, 1893, 1897, 1937, 1961, 1969, 1981, 1985, 2021, 2041, 2077, 2245, 2257, 2413, 2429, 2449, 2461, 2605, 2669, 2845, 2881, 3013, 3053, 3065, 3085, 3093, 3097, 3117, 3153, 3173, 3189, 3197, 3261, 3305, 3309, 3317, 3365, 3385, 3401, 3421, 3437, 3453, 3473, 3481, 3505, 3513, 3521, 3589, 3629, 3653, 3665, 3669, 3693, 3713, 3721, 3737, 3777, 3785, 3809, 3817, 3869, 3893, 3921, 3949, 3957, 3981, 3985, 4109, 4117, 4121, 4145, 4181, 4309, 4313, 4321, 4333, 4369, 4385, 4537, 4541, 4553, 4573, 4577, 4765, 4781, 4981, 5033, 5041, 5053, 5141, 5165, 5173, 5177, 5317, 5329, 5345, 5465, 5509, 5513, 5545, 5561, 5585, 5617, 5633, 5645, 5677, 5833, 5873, 5893, 5905, 5917, 5977, 5989, 6001, 6005, 6013, 6049, 6065, 6077, 6085, 6209, 6233, 6245, 6401, 6437, 6493, 6613, 6617, 6641, 6649, 6805, 6817, 6821, 6865, 6889, 6893, 7073, 7081, 7113, 7133, 7141, 7165, 7169, 7181, 7201, 7233, 7249, 7265, 7269, 7289, 7341, 7373, 7377, 7401, 7409, 7421, 7445, 7501, 7509, 7593, 7597, 7601, 7617, 7629, 7637, 7697, 7709, 7737, 7765, 7773, 7837, 7849, 7861, 7909, 7913, 7941, 7957, 7981, 7989, 8137, 8141, 8153, 8185, 8189, 8309, 8321, 8333, 8341, 8345, 8357, 8545, 8549, 8557, 8561, 8593, 8705, 8773, 8777, 8797, 8909, 8945, 9033, 9057, 9069, 9077, 9089, 9097, 9121, 9313, 9481, 9493.

Some larger examples :