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equidigital n.  and  junction n.

First numbers that belong to both sets:

101, 103, 105, 107, 109, 111, 113, 115, 305, 307, 311, 313, 317, 509, 511, 521, 709, 719, 911, 919, 1003, 1005, 1007, 1009, 1011, 1013, 1015, 1018, 1022, 1106, 1114, 1203, 1205, 1207, 1211, 1213, 1217, 1219, 1306, 1312, 1318, 1405, 1407, 1409, 1411, 1415, 1421, 1514, 1522, 1607, 1609, 1613, 1619, 1621, 1623, 1714, 1718, 1809, 1811, 1813, 1817, 1821, 1823, 1825, 1920, 1922, 2017, 2019, 2021, 2023, 2025, 2027, 2103, 2105, 2107, 2111, 2113, 2117, 2305, 2307, 2309, 2311, 2315, 2317, 2319, 2511, 2513, 2515, 2517, 2521, 2523, 2624, 2711, 2713, 2719, 2721, 2723, 2816, 2911, 2913, 2917, 2923, 2927, 3005, 3007, 3011, 3017, 3104, 3205, 3209, 3215, 3217, 3221, 3407, 3409, 3413, 3415, 3613, 3617, 3623, 3625, 3712, 3821, 3823, 3827, 4019, 4021, 4027, 4105, 4107, 4109, 4111, 4115, 4307, 4315, 4319, 4418, 4513, 4517, 4519, 4523, 4711, 4717, 4721, 4723, 4915, 4919, 5009, 5011, 5120, 5209, 5312, 5411, 5413, 5417, 5419, 5623, 5625, 5813, 5821, 5827, 6016, 6029, 6113, 6121, 6208, 6311, 6317, 6319, 6323, 6517, 6521, 6719, 6723, 6727, 6917, 7013, 7019, 7209, 7211, 7213, 7219, 7411, 7417, 7621, 7625, 7817, 7823, 7829, 8019, 8111, 8117, 8123, 8125, 8311, 8317, 8513, 8521, 8527, 8719, 8731, 8923, 8929, 8933, 9011, 9013, 9221, 9227, 9413, 9419, 9421, 9619, 9623, 9629, 9631, 9728, 9817, 9829, 9833, 10001, 10003, 10007, 10009, 10011, 10016, 10017, 10018, 10019, 10022, 10025, 10027, 10029, 10031, 10033, 10102, 10118, 10207, 10209, 10211, 10213, 10217, 10219, 10304, 10306, 10405, 10407, 10409, 10411, 10415, 10417, 10421, 10514, 10522, 10607, 10611, 10613, 10617, 10619, 10623, 10720, 10811, 10813, 10817, 10819, 10821, 10823, 10825, 11002, 11006, 11013, 11014, 11015, 11017, 11019, 11023, 11027, 11103, 11105, 11107, 11109.

Some larger examples :