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aban n.  and  emirp

First numbers that belong to both sets:

13, 17, 31, 37, 71, 73, 79, 97, 107, 113, 149, 157, 167, 179, 199, 311, 337, 347, 359, 389, 701, 709, 733, 739, 743, 751, 761, 769, 907, 937, 941, 953, 967, 971, 983, 991, 1000033, 1000037, 1000039, 1000117, 1000159, 1000187, 1000193, 1000211, 1000291, 1000393, 1000427, 1000429, 1000579, 1000667, 1000721, 1000763, 1000777, 1000829, 1000849, 1000859, 1000889, 1000907, 1000919, 1000973, 3000017, 3000089, 3000223, 3000251, 3000317, 3000331, 3000379, 3000617, 3000743, 3000761, 3000869, 3000929, 3000931, 3000979, 7000033, 7000109, 7000313, 7000517, 7000589, 7000619, 7000661, 7000673, 7000751, 7000757, 7000831, 7000849, 9000011, 9000049, 9000143, 9000193, 9000253, 9000283, 9000317, 9000331, 9000349, 9000451, 9000517, 9000601, 9000683, 9000703, 9000743, 9000773, 9000793, 9000839, 9000907, 9000961, 9000989, 10000169, 10000253, 10000439, 10000457, 10000511, 10000537, 10000583, 10000609, 10000651, 10000657, 10000721, 10000867, 10000871, 10000967, 10000987, 11000053, 11000113, 11000149, 11000291, 11000383, 11000399, 11000441, 11000569, 11000593, 11000597, 11000741, 11000767, 11000809, 11000827, 12000097, 12000133, 12000239, 12000353, 12000377, 12000409, 12000433, 12000523, 12000587, 12000619, 12000629, 12000673, 12000683, 12000731, 12000757, 12000767, 12000979, 13000049, 13000133, 13000243, 13000277, 13000297, 13000333, 13000511, 13000651, 13000667, 13000979, 13000993, 14000059, 14000141, 14000153, 14000453, 14000507, 14000573, 14000599, 14000611, 14000653, 14000669, 14000711, 14000713, 14000821, 14000947, 15000017, 15000127, 15000131, 15000151, 15000317, 15000361, 15000389, 15000407, 15000499, 15000581, 15000703, 15000751, 15000779, 15000901, 15000977, 16000079, 16000183, 16000277, 16000447, 16000463, 16000511, 16000693, 16000711, 16000769, 16000781, 16000889, 16000973, 16000981, 16000987, 17000173, 17000287, 17000483, 17000549, 17000677, 17000821, 18000137, 18000139, 18000209, 18000217, 18000259, 18000343, 18000403, 18000439, 18000527, 18000571, 18000623, 18000643, 18000721, 18000727, 18000769, 18000797, 18000877, 18000887, 18000893, 18000901, 18000947, 18000971, 19000027, 19000043, 19000229, 19000253, 19000391, 19000409, 19000559, 19000673, 19000769, 19000957, 19000979, 30000037, 30000079, 30000163, 30000307, 30000317, 30000319, 30000511, 30000521, 30000637, 30000689, 30000827, 30000989, 31000243, 31000301, 31000313, 31000337, 31000351, 31000471, 31000499, 31000621, 31000693, 31000873, 31000903, 31000927, 31000997, 31000999, 32000113, 32000219, 32000233, 32000413, 32000491, 32000513, 32000621, 32000627.

Some larger examples :