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emirpimes  and  iban n.

First numbers that belong to both sets:

122, 123, 143, 177, 203, 221, 302, 314, 321, 327, 341, 723, 771, 1011, 1027, 1041, 1043, 1047, 1101, 1121, 1141, 1174, 1177, 1202, 1211, 1214, 1243, 1247, 1273, 1317, 1322, 1343, 1347, 1371, 1401, 1402, 1411, 1417, 1703, 1707, 1714, 1717, 1727, 1774, 2021, 2041, 2042, 2047, 2077, 2402, 2443, 2474, 3007, 3043, 3047, 3071, 3103, 3117, 3142, 3173, 3207, 3227, 3247, 3317, 3327, 3401, 3403, 3421, 3442, 3473, 3707, 3721, 3743, 3777, 4117, 4121, 4171, 4174, 4307, 4321, 4322, 4711, 4714, 4727, 4742, 4771, 7003, 7023, 7071, 7073, 7114, 7141, 7171, 7201, 7223, 7271, 7274, 7311, 7341, 7343, 7373, 7377, 7401, 7402, 7403, 7421, 7423, 7702, 7711, 7773, 10003, 10021, 10027, 10073, 10077, 10117, 10123, 10217, 10327, 10342, 10347, 10411, 10417, 10447, 10474, 10702, 10717, 10721, 10741, 10747, 11042, 11103, 11141, 11147, 11207, 11302, 11303, 11314, 11327, 11341, 11371, 11401, 11422, 11477, 11702, 11707, 11714, 11722, 11723, 11741, 11771, 11773, 12001, 12003, 12074, 12077, 12127, 12202, 12217, 12223, 12242, 12271, 12302, 12317, 12403, 12407, 12422, 12471, 12701, 12707, 12773, 14017, 14023, 14073, 14111, 14117, 14171, 14227, 14242, 14273, 14277, 14311, 14374, 14414, 14417, 14471, 14701, 14702, 14711, 14727, 17007, 17023, 17074, 17141, 17147, 17221, 17243, 17311, 17373, 17414, 17421, 17441, 17474, 17711, 17717, 17722, 17773, 17777, 20077, 20203, 20221, 20311, 20321, 20473, 20701, 20711, 20741, 20777, 22174, 22177, 22207, 22223, 22327, 22342, 22373, 22411, 22421, 22703, 22711, 22723, 22771, 24011, 24014, 24047, 24221, 24241, 24301, 24307, 24322, 24347, 24377, 41027, 41042, 41147, 41207, 41311, 41441, 41471, 41711, 41747, 41774, 43027, 43073, 43123, 43174, 43217, 43222, 43243, 43247, 43273, 43343, 43421, 43423, 43447, 47021, 47071, 47122, 47203, 47227, 47273, 47323, 47327, 47341, 47401, 47471, 47477, 47714, 70017, 70043, 70071.

Some larger examples :