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emirpimes  and  evil n.

First numbers that belong to both sets:

15, 39, 51, 58, 85, 123, 129, 159, 169, 177, 178, 183, 187, 221, 226, 326, 329, 335, 394, 413, 437, 497, 514, 533, 538, 553, 559, 562, 581, 586, 622, 629, 667, 685, 718, 723, 766, 771, 851, 893, 921, 933, 951, 955, 1006, 1011, 1043, 1046, 1059, 1079, 1115, 1121, 1141, 1145, 1169, 1195, 1238, 1247, 1253, 1286, 1313, 1343, 1346, 1357, 1366, 1379, 1382, 1405, 1415, 1469, 1502, 1563, 1569, 1641, 1642, 1655, 1671, 1706, 1714, 1731, 1757, 1761, 1774, 1779, 1814, 1817, 1874, 1923, 1937, 1983, 1985, 2021, 2059, 2062, 2098, 2206, 2219, 2234, 2429, 2443, 2446, 2458, 2474, 2479, 2491, 2603, 2605, 2614, 2815, 2818, 2878, 3007, 3043, 3046, 3063, 3099, 3106, 3117, 3155, 3173, 3197, 3207, 3247, 3261, 3291, 3309, 3317, 3327, 3365, 3401, 3415, 3419, 3421, 3431, 3437, 3446, 3455, 3459, 3473, 3513, 3521, 3579, 3603, 3622, 3639, 3646, 3651, 3653, 3665, 3687, 3693, 3694, 3715, 3721, 3777, 3778, 3814, 3817, 3826, 3831, 3869, 3891, 3893, 3898, 3903, 3946, 3959, 3963, 3979, 3981, 4109, 4115, 4117, 4121, 4138, 4145, 4151, 4166, 4178, 4183, 4187, 4307, 4309, 4313, 4319, 4369, 4385, 4511, 4535, 4541, 4553, 4562, 4571, 4573, 4574, 4577, 4714, 4727, 4771, 4955, 4981, 5078, 5111, 5123, 5143, 5165, 5173, 5177, 5191, 5317, 5318, 5327, 5329, 5339, 5342, 5345, 5363, 5366, 5378, 5398, 5411, 5414, 5426, 5435, 5438, 5455, 5458, 5498, 5509, 5513, 5543, 5561, 5567, 5579, 5582, 5587, 5594, 5603, 5606, 5615, 5617, 5627, 5633, 5645, 5663, 5674, 5699, 5803, 5806, 5818, 5855, 5873, 5891, 5893, 5905, 5911, 5917, 5942, 5963, 5971, 5977, 5989, 5999, 6001, 6013, 6038, 6065, 6071, 6077, 6085, 6209, 6227, 6233, 6239, 6245, 6283, 6401, 6431, 6437, 6442.

Some larger examples :