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iban n.  and  twin primes

First numbers that belong to both sets:

3, 7, 11, 17, 41, 43, 71, 73, 101, 103, 107, 227, 241, 271, 311, 347, 421, 1021, 1277, 1301, 1303, 1321, 1427, 1721, 1723, 2027, 2111, 2141, 2143, 2311, 2341, 2711, 3001, 3121, 3301, 3371, 3373, 4001, 4003, 4021, 4127, 4217, 4241, 4243, 4271, 4273, 4421, 4423, 4721, 4723, 7127, 7211, 7307, 10007, 10141, 10271, 10273, 10301, 10303, 10427, 10711, 11071, 11117, 11171, 11173, 11701, 11717, 11777, 12041, 12043, 12071, 12073, 12107, 12241, 12377, 14011, 14321, 14323, 14447, 17027, 17207, 17417, 17747, 20021, 20023, 20147, 20441, 20443, 20477, 20717, 20747, 20771, 20773, 21011, 21017, 21317, 21377, 22111, 22271, 22273, 22277, 22741, 23027, 23041, 23201, 23203, 23371, 23741, 23743, 24107, 24371, 24373, 24421, 27107, 27241, 27407, 40127, 40427, 41141, 41143, 41177, 41201, 41203, 41411, 42017, 42071, 42073, 42221, 42223, 42407, 42701, 42703, 43321, 44027, 44201, 44203, 44701, 44771, 44773, 47147, 47417, 47701, 47711, 47741, 47743, 47777, 70001, 70003, 70121, 70123, 70141, 70201, 71327, 71341, 71411, 71471, 71473, 71711, 72101, 72103, 72221, 72223, 72227, 72271, 74101, 74201, 74203, 74411, 74717, 77417, 77477, 77711, 101111, 101117, 101207, 101747, 102001, 102077, 102101, 102103, 102301, 102407, 103421, 103423, 104147, 104311, 104471, 104473, 107071, 107101, 107717, 110321, 110323, 110477, 111121, 111227, 111271, 112247, 114041, 114043, 117041, 117043, 117241, 117371, 117373, 117701, 117703, 120047, 120077, 121021, 121171, 121441, 122027, 122041, 122147, 122201, 122203, 122207, 122321, 122323, 122401, 122741, 122743, 123377, 124121, 124123, 124247, 124301, 124303, 124427, 124771, 127217, 127247, 127711, 140071, 140417, 141221, 141223, 141707, 143111, 144071, 144073, 144407, 147211, 147227, 170101, 170371, 171047, 171077, 171401, 171403, 172171, 172217, 172421, 172423, 172441, 173021, 173023, 173207, 173741, 173743, 173777, 174017, 174047, 174077, 177011, 177211, 201121, 201211, 201401, 201403, 202127, 203207, 203311, 203321, 203323, 203341, 203417, 203771, 203773.

Some larger examples :