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iban n.  and  prime n.

First numbers that belong to both sets:

2, 3, 7, 11, 17, 23, 41, 43, 47, 71, 73, 101, 103, 107, 127, 173, 211, 223, 227, 241, 271, 277, 307, 311, 317, 347, 373, 401, 421, 443, 701, 727, 743, 773, 1021, 1103, 1117, 1123, 1171, 1201, 1217, 1223, 1277, 1301, 1303, 1307, 1321, 1327, 1373, 1423, 1427, 1447, 1471, 1721, 1723, 1741, 1747, 1777, 2003, 2011, 2017, 2027, 2111, 2141, 2143, 2203, 2207, 2221, 2243, 2273, 2311, 2341, 2347, 2371, 2377, 2411, 2417, 2423, 2441, 2447, 2473, 2477, 2707, 2711, 2741, 2777, 3001, 3011, 3023, 3041, 3121, 3203, 3217, 3221, 3271, 3301, 3307, 3323, 3343, 3347, 3371, 3373, 3407, 3701, 3727, 4001, 4003, 4007, 4021, 4027, 4073, 4111, 4127, 4177, 4201, 4211, 4217, 4241, 4243, 4271, 4273, 4327, 4373, 4421, 4423, 4441, 4447, 4703, 4721, 4723, 7001, 7027, 7043, 7103, 7121, 7127, 7177, 7207, 7211, 7243, 7247, 7307, 7321, 7411, 7417, 7477, 7703, 7717, 7723, 7727, 7741, 10007, 10103, 10111, 10141, 10177, 10211, 10223, 10243, 10247, 10271, 10273, 10301, 10303, 10321, 10343, 10427, 10477, 10711, 10723, 10771, 11003, 11027, 11047, 11071, 11117, 11171, 11173, 11177, 11243, 11273, 11311, 11317, 11321, 11411, 11423, 11443, 11447, 11471, 11701, 11717, 11743, 11777, 12007, 12011, 12041, 12043, 12071, 12073, 12101, 12107, 12143, 12203, 12211, 12227, 12241, 12277, 12301, 12323, 12343, 12347, 12373, 12377, 12401, 12421, 12473, 12703, 12721, 12743, 14011, 14071, 14107, 14143, 14173, 14177, 14207, 14221, 14243, 14303, 14321, 14323, 14327, 14341, 14347, 14401, 14407, 14411, 14423, 14447, 14717, 14723, 14741, 14747, 14771, 17011, 17021, 17027, 17041, 17047, 17077, 17107, 17117, 17123, 17203, 17207, 17317, 17321, 17327, 17341, 17377, 17401, 17417, 17443, 17471, 17477, 17707, 17747, 20011, 20021, 20023, 20047, 20071, 20101, 20107, 20117, 20123, 20143, 20147, 20173, 20177.

Some larger examples :