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brilliant n.  and  junction n.

First numbers that belong to both sets:

319, 517, 713, 913, 923, 1003, 1007, 1207, 1219, 1411, 1817, 2021, 2117, 2911, 2923, 3007, 3827, 4307, 4717, 6319, 10609, 11021, 12827, 14017, 17113, 18419, 19321, 19519, 19729, 20711, 21209, 21823, 22523, 22927, 23213, 24511, 24523, 24931, 25019, 25021, 25217, 26123, 27221, 28321, 28531, 29213, 30623, 31309, 31313, 31921, 32017, 33017, 33109, 33919, 34417, 34427, 35723, 36019, 37127, 37327, 37523, 38021, 38419, 39037, 40309, 40723, 40727, 40913, 40921, 41623, 41827, 42319, 42521, 42919, 43423, 43621, 44117, 44323, 44521, 44719, 44923, 44929, 45217, 45629, 46031, 46117, 46127, 46517, 46927, 48319, 48929, 48931, 50213, 50419, 50621, 51019, 51917, 51923, 52007, 52211, 52427, 52621, 52823, 53033, 53111, 53519, 53929, 54227, 54619, 54827, 55031, 55123, 55723, 55919, 57023, 57121, 57517, 57721, 59321, 60023, 60323, 60713, 61021, 61423, 61823, 62021, 62113, 62317, 62519, 62521, 62729, 63221, 63619, 64321, 64517, 64523, 64529, 65621, 65623, 66023, 66331, 66719, 67423, 68129, 68923, 69229, 69631, 70613, 70831, 71033, 72011, 72217, 72419, 72619, 72833, 73027, 73033, 73111, 73313, 73319, 73919, 74227, 74429, 75319, 76217, 76621, 76633, 77123, 77131, 77321, 77927, 78227, 78431, 79523, 79927, 80029, 80117, 81217, 81427, 82111, 82319, 82321, 82519, 82717, 82919, 82921, 82931, 82933, 83627, 83821, 84517, 84527, 84529, 84727, 84923, 84937, 85013, 85417, 86033, 86327, 86329, 86519, 87019, 88531, 88931, 89027, 89423, 90037, 90043, 90817, 91027, 91111, 91123, 91313, 91327, 91933, 92011, 92629, 92819, 94019, 94021, 94417, 94631, 95129, 95321, 95939, 96023, 96029, 96427, 96839, 97133, 97319, 97333, 98029, 98431, 98437, 99031, 99941, 100033, 100421, 100619, 100817, 101911, 101923, 102209, 102821, 103027, 103321, 104411, 104413, 104617, 104813, 105029, 105113, 106009, 106817, 106829, 107311, 107917, 108019, 108419, 109723, 109727, 109729, 109931, 110021, 110111, 110723, 110911, 111613, 112117, 112711, 114119, 114511, 114929, 115411, 115417, 116021, 116023, 116119.

Some larger examples :