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brilliant n.  and  evil n.

First numbers that belong to both sets:

6, 9, 10, 15, 169, 187, 209, 221, 323, 377, 407, 437, 473, 533, 559, 629, 649, 667, 697, 703, 851, 869, 893, 943, 989, 1003, 1037, 1073, 1079, 1121, 1139, 1157, 1241, 1247, 1271, 1333, 1343, 1357, 1363, 1369, 1403, 1457, 1501, 1517, 1541, 1649, 1711, 1817, 1829, 1909, 1943, 2021, 2059, 2117, 2209, 2479, 2491, 2501, 2623, 2701, 2747, 2809, 2923, 3007, 3149, 3293, 3397, 3431, 3551, 3569, 3721, 3763, 3869, 3953, 4183, 4187, 4189, 4307, 4453, 4559, 4661, 4757, 5063, 5183, 5329, 5561, 5609, 5723, 5893, 5917, 5963, 6319, 6497, 6557, 6889, 7031, 7081, 8051, 10403, 10807, 11227, 11449, 11639, 11881, 12091, 12317, 13231, 13493, 14039, 14111, 14279, 14933, 15049, 15151, 15707, 15857, 16157, 16171, 16241, 16463, 16637, 16789, 16799, 16837, 17201, 17399, 17441, 17473, 17653, 17767, 17819, 17869, 18203, 18209, 18281, 18419, 18437, 18769, 19177, 19493, 19511, 19549, 19673, 19729, 20291, 20437, 20453, 20497, 20687, 20701, 20711, 20989, 21079, 21209, 21293, 21311, 21353, 21473, 21583, 21733, 21823, 22261, 22331, 22499, 22523, 22577, 22733, 22801, 22879, 22999, 23129, 23393, 23701, 23711, 23843, 23999, 24047, 24257, 24287, 24503, 24797, 24881, 25273, 25397, 25853, 25957, 26051, 26441, 26471, 26549, 26671, 26797, 26827, 26857, 26969, 27029, 27089, 27169, 27221, 27331, 27371, 27499, 27977, 28013, 28103, 28321, 28363, 28459, 28829, 28943, 29041, 29143, 29149, 29177, 29213, 29353, 29591, 29639, 29651, 29719, 29747, 29893, 29987, 29999, 30049, 30067, 30179, 30193, 30227, 30281, 30301, 30353, 30623, 30629, 30929, 30997, 31007, 31133, 31243, 31301, 31313, 31411, 31459, 31553, 31571, 31613, 31831, 31861, 31877, 31937, 32017, 32033, 32111, 32231, 32639, 32849, 32899, 33109, 33221, 33233, 33463, 33499, 33667, 33673, 34037, 34117, 34121, 34163, 34277, 35011, 35047, 35179, 35209, 35239, 35263, 35369, 35501, 35611, 35723, 35821.

Some larger examples :