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brilliant n.  and  happy n.

First numbers that belong to both sets:

10, 49, 319, 391, 649, 671, 793, 899, 901, 913, 923, 989, 1003, 1067, 1121, 1247, 1333, 1411, 1457, 1679, 1769, 2257, 2581, 2881, 3139, 3233, 3239, 3293, 3713, 3763, 3869, 3901, 3977, 4087, 4187, 4757, 5063, 7663, 11021, 11413, 14873, 15347, 18437, 18857, 19367, 19493, 19511, 19673, 20989, 21473, 21583, 21823, 21877, 22201, 22261, 24743, 24823, 25199, 25273, 25651, 25777, 26797, 27161, 27889, 28141, 28321, 28459, 28531, 28783, 29591, 29737, 29893, 30067, 30193, 30301, 30607, 30629, 31309, 31411, 32033, 32639, 32899, 33017, 33109, 33431, 33463, 33667, 34121, 34417, 34427, 34571, 35417, 35741, 35821, 36089, 36503, 37241, 37949, 38293, 38497, 39203, 39283, 39289, 39449, 39497, 39617, 40217, 40363, 40633, 40741, 41087, 41273, 41291, 41311, 41347, 41449, 42173, 43157, 43363, 43811, 44173, 44377, 44599, 44861, 44969, 45151, 45173, 45499, 46009, 46117, 46979, 47347, 47401, 47813, 48101, 48379, 48641, 49319, 49541, 49649, 49769, 51101, 51641, 51967, 52621, 52681, 53393, 53821, 54071, 54149, 54253, 54289, 54641, 54707, 54731, 55357, 55483, 55669, 55753, 55963, 56033, 56257, 57371, 57619, 57677, 57961, 58339, 59291, 59599, 60023, 60409, 60433, 60701, 61063, 61079, 61097, 61181, 61697, 61739, 61759, 61811, 61937, 62521, 63293, 63433, 64541, 64711, 64949, 64979, 65411, 65509, 65953, 66013, 66043, 66233, 66331, 66389, 66559, 66667, 66719, 66893, 66971, 67063, 67159, 67297, 67519, 67591, 67721, 67913, 68093, 68251, 69319, 69323, 69731, 69913, 69947, 70691, 70739, 71033, 71107, 71173, 71243, 71303, 71371, 71609, 71857, 72299, 72697, 72929, 72967, 73279, 73441, 73481, 74057, 74351, 74513, 74801, 74939, 74983, 75137, 75143, 76033, 76121, 76127, 76217, 76319, 76499, 76591, 76633, 76729, 77131, 77281, 77629, 77851, 78431, 78581, 79003, 79061, 79073, 79993, 80033, 80099, 80303, 80411, 80441, 80741, 81161, 81241, 81253, 81407, 81989, 82321, 82513, 82717, 82877, 82933, 82993, 83333, 83411, 83539.

Some larger examples :