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junction n.  and  odious n.

First numbers that belong to both sets:

103, 107, 109, 115, 117, 206, 208, 214, 218, 307, 309, 313, 319, 406, 410, 412, 416, 505, 511, 515, 517, 521, 608, 614, 618, 620, 707, 709, 713, 719, 721, 810, 812, 818, 820, 824, 911, 913, 919, 923, 925, 1001, 1007, 1009, 1012, 1015, 1016, 1022, 1024, 1102, 1104, 1110, 1114, 1116, 1207, 1211, 1213, 1219, 1306, 1308, 1312, 1318, 1407, 1411, 1413, 1417, 1510, 1514, 1516, 1522, 1609, 1615, 1617, 1623, 1710, 1712, 1718, 1722, 1724, 1809, 1815, 1819, 1821, 1825, 1912, 1918, 1922, 1924, 2002, 2004, 2008, 2013, 2014, 2017, 2023, 2027, 2105, 2111, 2113, 2119, 2204, 2208, 2214, 2218, 2220, 2305, 2311, 2315, 2317, 2408, 2414, 2416, 2422, 2507, 2509, 2515, 2517, 2521, 2610, 2612, 2616, 2622, 2624, 2711, 2715, 2717, 2721, 2814, 2816, 2822, 2826, 2911, 2915, 2917, 2921, 2927, 3003, 3005, 3011, 3013, 3014, 3017, 3018, 3020, 3026, 3028, 3104, 3110, 3114, 3116, 3205, 3209, 3215, 3217, 3306, 3308, 3314, 3316, 3320, 3411, 3413, 3417, 3423, 3508, 3512, 3518, 3520, 3611, 3613, 3617, 3623, 3710, 3714, 3716, 3720, 3726, 3815, 3819, 3821, 3827, 3914, 3916, 3922, 3924, 3928, 4004, 4008, 4014, 4016, 4019, 4021, 4025, 4105, 4111, 4113, 4119, 4210, 4212, 4216, 4222, 4311, 4315, 4317, 4321, 4408, 4414, 4416, 4422, 4509, 4513, 4519, 4523, 4525, 4610, 4612, 4616, 4622, 4624, 4711, 4715, 4717, 4723, 4725, 4814, 4816, 4822, 4826, 4828, 4915, 4917, 4921, 4927, 4929, 5005, 5011, 5013, 5017, 5018, 5020, 5024, 5030, 5110, 5114, 5116, 5122, 5207, 5211, 5213, 5217, 5223, 5308, 5314, 5316, 5320, 5409, 5415, 5419, 5421, 5512, 5518, 5520, 5526, 5611, 5613, 5619, 5621, 5625, 5712, 5718, 5722, 5724, 5728, 5815, 5819, 5821, 5827, 5829, 5914, 5916, 5920.

Some larger examples :