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amenable n.  and  emirp

First numbers that belong to both sets:

13, 17, 37, 73, 97, 113, 149, 157, 337, 389, 701, 709, 733, 761, 769, 937, 941, 953, 1009, 1021, 1033, 1061, 1069, 1097, 1109, 1153, 1181, 1193, 1201, 1213, 1217, 1229, 1237, 1249, 1301, 1321, 1381, 1409, 1429, 1453, 1597, 1601, 1657, 1669, 1733, 1741, 1753, 1789, 1901, 1913, 1933, 1949, 3049, 3089, 3109, 3121, 3169, 3221, 3257, 3301, 3373, 3389, 3433, 3469, 3541, 3613, 3697, 3733, 3821, 3853, 3889, 3917, 3929, 7057, 7121, 7177, 7193, 7229, 7253, 7297, 7321, 7349, 7433, 7457, 7481, 7529, 7561, 7577, 7589, 7649, 7673, 7681, 7717, 7757, 7817, 7841, 7901, 7949, 9001, 9013, 9029, 9041, 9133, 9161, 9173, 9209, 9221, 9241, 9257, 9293, 9341, 9349, 9421, 9437, 9497, 9521, 9533, 9601, 9613, 9661, 9721, 9749, 9769, 9781, 9833, 9857, 9941, 10009, 10061, 10069, 10177, 10253, 10273, 10321, 10333, 10429, 10453, 10457, 10613, 10781, 10853, 10889, 10909, 10993, 11057, 11149, 11161, 11197, 11257, 11329, 11353, 11489, 11497, 11593, 11621, 11657, 11677, 11701, 11717, 11777, 11789, 11833, 11897, 11909, 11933, 11953, 11969, 11981, 12073, 12109, 12113, 12149, 12241, 12253, 12269, 12289, 12301, 12373, 12437, 12553, 12577, 12641, 12689, 12697, 12713, 12757, 12809, 12829, 12841, 12893, 13009, 13297, 13337, 13441, 13457, 13469, 13477, 13513, 13553, 13597, 13693, 13697, 13709, 13757, 13781, 13789, 13829, 13841, 13873, 13933, 14029, 14057, 14081, 14153, 14177, 14221, 14293, 14449, 14549, 14557, 14593, 14621, 14629, 14633, 14657, 14713, 14717, 14821, 14897, 14929, 14957, 15013, 15053, 15101, 15149, 15241, 15289, 15349, 15377, 15461, 15493, 15497, 15541, 15601, 15649, 15661, 15733, 15737, 15937, 15973, 16001, 16073, 16193, 16217, 16249, 16433, 16453, 16481, 16493, 16573, 16729, 16829, 16937, 17021, 17033, 17041, 17117, 17209, 17393, 17417, 17477, 17573, 17669, 17681, 17713, 17737, 17749, 17909, 18013, 18041.

Some larger examples :