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brilliant n.  and  odious n.

First numbers that belong to both sets:

4, 14, 21, 25, 35, 49, 121, 143, 247, 253, 289, 299, 319, 341, 361, 391, 403, 451, 481, 493, 517, 527, 529, 551, 583, 589, 611, 671, 689, 713, 731, 737, 767, 779, 781, 793, 799, 803, 817, 841, 871, 899, 901, 913, 923, 949, 961, 979, 1007, 1027, 1067, 1081, 1147, 1159, 1189, 1207, 1219, 1261, 1273, 1349, 1387, 1411, 1513, 1537, 1577, 1591, 1633, 1643, 1679, 1681, 1691, 1739, 1763, 1769, 1843, 1849, 1891, 1927, 1961, 2047, 2077, 2173, 2183, 2201, 2231, 2257, 2263, 2279, 2291, 2407, 2419, 2449, 2537, 2573, 2581, 2627, 2759, 2773, 2813, 2867, 2881, 2911, 2993, 3053, 3071, 3127, 3139, 3233, 3239, 3337, 3403, 3481, 3589, 3599, 3649, 3713, 3827, 3901, 3977, 4087, 4171, 4331, 4399, 4489, 4717, 4819, 4891, 4897, 5041, 5141, 5251, 5293, 5429, 5767, 6059, 6241, 6499, 6887, 7387, 7663, 7921, 8633, 9409, 10201, 10609, 11009, 11021, 11413, 11663, 12769, 12827, 13081, 13589, 13837, 13843, 14017, 14317, 14351, 14659, 14803, 14873, 15251, 15347, 15481, 15553, 15943, 16129, 16459, 16867, 17063, 17113, 17161, 17741, 17947, 18079, 18511, 18643, 18857, 18871, 18923, 19043, 19153, 19291, 19321, 19367, 19519, 19781, 19879, 19897, 19939, 20099, 20227, 20413, 20567, 20651, 20819, 21037, 21509, 21691, 21809, 21877, 21971, 22201, 22487, 22657, 22663, 22927, 22969, 22987, 23213, 23381, 23449, 23533, 23587, 23707, 23861, 24139, 24289, 24307, 24341, 24511, 24523, 24613, 24617, 24649, 24743, 24823, 24883, 24931, 24961, 25019, 25021, 25159, 25199, 25217, 25283, 25351, 25573, 25591, 25651, 25777, 25787, 25807, 25877, 26069, 26123, 26167, 26219, 26269, 26329, 26563, 26569, 26989, 27007, 27161, 27233, 27263, 27359, 27383, 27641, 27661, 27707, 27889, 27913, 28141, 28199, 28381, 28417, 28531, 28583, 28667, 28757, 28783, 28841, 28891, 28907, 28997, 29083, 29321, 29329.

Some larger examples :