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brilliant n.  and  wasteful n.

First numbers that belong to both sets:

4, 6, 9, 143, 187, 209, 221, 247, 253, 299, 319, 323, 341, 377, 391, 403, 407, 437, 451, 473, 481, 493, 517, 527, 533, 551, 559, 583, 589, 611, 629, 649, 667, 671, 689, 697, 703, 713, 731, 737, 767, 779, 781, 793, 799, 803, 817, 851, 869, 871, 893, 899, 901, 913, 923, 943, 949, 979, 989, 10403, 10807, 11009, 11021, 11227, 11413, 11639, 11663, 12091, 12317, 12827, 13081, 13231, 13493, 13589, 13837, 13843, 14017, 14039, 14111, 14279, 14317, 14351, 14659, 14803, 14873, 14933, 15049, 15151, 15251, 15347, 15481, 15553, 15707, 15857, 15943, 16157, 16171, 16241, 16459, 16463, 16637, 16789, 16799, 16837, 16867, 17063, 17113, 17201, 17399, 17441, 17473, 17653, 17741, 17767, 17819, 17869, 17947, 18079, 18203, 18209, 18281, 18419, 18437, 18511, 18643, 18857, 18871, 18923, 19043, 19153, 19177, 19291, 19367, 19493, 19511, 19519, 19549, 19673, 19729, 19781, 19879, 19897, 19939, 20099, 20227, 20291, 20413, 20437, 20453, 20497, 20567, 20651, 20687, 20701, 20711, 20819, 20989, 21037, 21079, 21209, 21293, 21311, 21353, 21473, 21509, 21583, 21691, 21733, 21809, 21823, 21877, 21971, 22261, 22331, 22487, 22499, 22523, 22577, 22657, 22663, 22733, 22879, 22927, 22969, 22987, 22999, 23129, 23213, 23381, 23393, 23449, 23533, 23587, 23701, 23707, 23711, 23843, 23861, 23999, 24047, 24139, 24257, 24287, 24289, 24307, 24341, 24503, 24511, 24523, 24613, 24617, 24743, 24797, 24823, 24881, 24883, 24931, 24961, 25019, 25021, 25159, 25199, 25217, 25273, 25283, 25351, 25397, 25573, 25591, 25651, 25777, 25787, 25807, 25853, 25877, 25957, 26051, 26069, 26123, 26167, 26219, 26269, 26329, 26441, 26471, 26549, 26563, 26671, 26797, 26827, 26857, 26969, 26989, 27007, 27029, 27089, 27161, 27169, 27221, 27233, 27263, 27331, 27359, 27371, 27383, 27499, 27641, 27661, 27707, 27913, 27977, 28013, 28103, 28141, 28199, 28321, 28363, 28381, 28417, 28459.

Some larger examples :