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amenable n.  and  brilliant n.

First numbers that belong to both sets:

9, 21, 25, 49, 121, 169, 209, 221, 253, 289, 341, 361, 377, 437, 473, 481, 493, 517, 529, 533, 589, 629, 649, 689, 697, 713, 737, 781, 793, 817, 841, 869, 893, 901, 913, 949, 961, 989, 1037, 1073, 1081, 1121, 1157, 1189, 1241, 1261, 1273, 1333, 1349, 1357, 1369, 1457, 1501, 1513, 1517, 1537, 1541, 1577, 1633, 1649, 1681, 1769, 1817, 1829, 1849, 1909, 1961, 2021, 2077, 2117, 2173, 2201, 2209, 2257, 2449, 2501, 2537, 2573, 2581, 2701, 2773, 2809, 2813, 2881, 2993, 3053, 3149, 3233, 3293, 3337, 3397, 3481, 3569, 3589, 3649, 3713, 3721, 3869, 3901, 3953, 3977, 4189, 4453, 4489, 4661, 4717, 4757, 4897, 5041, 5141, 5293, 5329, 5429, 5561, 5609, 5893, 5917, 6241, 6497, 6557, 6889, 7081, 7921, 8633, 9409, 10201, 10609, 11009, 11021, 11413, 11449, 11881, 12317, 12769, 13081, 13493, 13589, 13837, 14017, 14317, 14873, 14933, 15049, 15481, 15553, 15857, 16129, 16157, 16241, 16637, 16789, 16837, 17113, 17161, 17201, 17441, 17473, 17653, 17741, 17869, 18209, 18281, 18437, 18769, 18857, 19153, 19177, 19321, 19493, 19549, 19673, 19729, 19781, 19897, 20413, 20437, 20453, 20497, 20701, 20989, 21037, 21209, 21293, 21353, 21473, 21509, 21733, 21809, 21877, 22201, 22261, 22577, 22657, 22733, 22801, 22969, 23129, 23213, 23381, 23393, 23449, 23533, 23701, 23861, 24257, 24289, 24341, 24613, 24617, 24649, 24797, 24881, 24961, 25021, 25217, 25273, 25397, 25573, 25777, 25853, 25877, 25957, 26069, 26269, 26329, 26441, 26549, 26569, 26797, 26857, 26969, 26989, 27029, 27089, 27161, 27169, 27221, 27233, 27641, 27661, 27889, 27913, 27977, 28013, 28141, 28321, 28381, 28417, 28757, 28829, 28841, 28997, 29041, 29149, 29177, 29213, 29321, 29329, 29353, 29593, 29737, 29893, 29929, 30049, 30193, 30281, 30301, 30353, 30397, 30629, 30929, 30997, 31133, 31301, 31309, 31313, 31373, 31553, 31613, 31621.

Some larger examples :