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Duffinian n.  and  junction n.

First numbers that belong to both sets:

111, 115, 305, 309, 319, 505, 511, 513, 515, 517, 707, 711, 713, 715, 721, 723, 913, 917, 921, 923, 925, 1003, 1007, 1011, 1024, 1205, 1207, 1209, 1211, 1219, 1405, 1407, 1411, 1413, 1415, 1417, 1421, 1623, 1809, 1813, 1817, 1819, 1821, 1825, 1922, 2015, 2019, 2021, 2023, 2025, 2105, 2107, 2117, 2119, 2305, 2307, 2315, 2317, 2321, 2507, 2509, 2511, 2513, 2515, 2519, 2523, 2709, 2717, 2721, 2723, 2911, 2915, 2921, 2923, 3005, 3007, 3013, 3017, 3205, 3207, 3211, 3215, 3409, 3411, 3415, 3419, 3421, 3423, 3611, 3619, 3811, 3817, 3819, 3827, 4015, 4025, 4105, 4113, 4115, 4117, 4121, 4307, 4309, 4315, 4319, 4321, 4418, 4511, 4525, 4624, 4711, 4715, 4717, 4719, 4727, 4913, 4915, 4923, 4925, 4927, 5007, 5207, 5211, 5213, 5219, 5221, 5223, 5409, 5411, 5421, 5423, 5611, 5615, 5617, 5619, 5621, 5625, 5627, 5815, 5817, 5819, 5825, 6017, 6019, 6021, 6023, 6025, 6031, 6107, 6109, 6115, 6119, 6123, 6313, 6319, 6325, 6511, 6515, 6517, 6527, 6713, 6717, 6721, 6727, 6919, 6921, 6923, 6925, 6929, 6931, 7009, 7015, 7021, 7217, 7223, 7225, 7415, 7419, 7421, 7427, 7613, 7615, 7617, 7619, 7625, 7627, 7819, 7825, 7831, 8021, 8023, 8027, 8029, 8031, 8033, 8113, 8119, 8121, 8125, 8315, 8321, 8325, 8327, 8515, 8717, 8723, 8729, 8917, 8919, 8921, 8927, 8931, 9017, 9019, 9021, 9023, 9211, 9217, 9219, 9223, 9417, 9423, 9617, 9621, 9625, 9821, 9823, 9827, 10001, 10003, 10013, 10019, 10025, 10027, 10029, 10031, 10033, 10205, 10207, 10213, 10217, 10219, 10405, 10407, 10409, 10411, 10415, 10417, 10421, 10609, 10615, 10621, 10623, 10809, 10813, 10817, 10819, 10821, 10823, 10825, 11015, 11017, 11019, 11021, 11023, 11105, 11107, 11111, 11307, 11309, 11315, 11507, 11509, 11511, 11513, 11515, 11521, 11711, 11713, 11721.

Some larger examples :