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lucky n.  and  odious n.

First numbers that belong to both sets:

1, 7, 13, 21, 25, 31, 37, 49, 67, 69, 73, 79, 87, 93, 115, 127, 133, 151, 171, 193, 205, 211, 223, 241, 259, 261, 273, 283, 285, 289, 307, 319, 321, 327, 331, 339, 357, 361, 367, 385, 391, 409, 415, 421, 433, 451, 463, 475, 477, 487, 511, 517, 529, 535, 541, 577, 583, 601, 613, 631, 651, 699, 727, 769, 781, 787, 805, 823, 841, 855, 883, 885, 895, 925, 961, 979, 981, 991, 997, 1009, 1021, 1029, 1039, 1041, 1053, 1057, 1087, 1095, 1101, 1107, 1123, 1147, 1183, 1189, 1201, 1219, 1231, 1233, 1245, 1249, 1261, 1281, 1291, 1329, 1339, 1387, 1389, 1395, 1401, 1417, 1435, 1441, 1459, 1471, 1473, 1485, 1491, 1497, 1503, 1519, 1533, 1543, 1567, 1585, 1597, 1639, 1645, 1663, 1693, 1749, 1765, 1777, 1797, 1801, 1809, 1819, 1831, 1857, 1869, 1893, 1915, 1921, 1933, 1941, 1945, 1987, 2001, 2023, 2053, 2065, 2113, 2125, 2133, 2173, 2187, 2211, 2217, 2257, 2283, 2311, 2317, 2323, 2335, 2365, 2395, 2407, 2419, 2461, 2527, 2545, 2557, 2571, 2607, 2647, 2653, 2667, 2697, 2715, 2763, 2773, 2787, 2821, 2845, 2887, 2899, 2901, 2905, 3003, 3031, 3037, 3073, 3091, 3097, 3109, 3121, 3133, 3153, 3163, 3175, 3187, 3199, 3223, 3229, 3243, 3289, 3301, 3313, 3325, 3351, 3355, 3381, 3403, 3405, 3411, 3427, 3433, 3439, 3451, 3453, 3477, 3481, 3487, 3559, 3565, 3571, 3607, 3613, 3655, 3661, 3669, 3685, 3697, 3709, 3747, 3753, 3771, 3781, 3793, 3847, 3865, 3889, 3909, 3931, 3943, 3955, 3991, 4033, 4045, 4063, 4069, 4081, 4105, 4129, 4161, 4173, 4179, 4195, 4201, 4207, 4237, 4255, 4285, 4315, 4321, 4363, 4377, 4383, 4389, 4399, 4413, 4431, 4443, 4455, 4461, 4483, 4485, 4495, 4509, 4519, 4551.

Some larger examples :