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D-number  and  lucky n.

First numbers that belong to both sets:

9, 15, 21, 33, 51, 63, 69, 87, 93, 111, 129, 141, 159, 195, 201, 219, 237, 267, 303, 321, 327, 339, 393, 399, 489, 519, 537, 579, 591, 693, 699, 717, 723, 819, 831, 933, 993, 1011, 1023, 1041, 1101, 1167, 1203, 1263, 1329, 1389, 1401, 1473, 1497, 1563, 1641, 1731, 1797, 1839, 1857, 1893, 1923, 1941, 1959, 1977, 1983, 2019, 2031, 2127, 2217, 2253, 2271, 2283, 2427, 2571, 2589, 2649, 2661, 2787, 2823, 2841, 2901, 2913, 2973, 3003, 3027, 3039, 3099, 3153, 3183, 3261, 3351, 3453, 3489, 3579, 3603, 3669, 3687, 3747, 3843, 3849, 3873, 3891, 3909, 3981, 4095, 4227, 4269, 4287, 4377, 4413, 4443, 4461, 4569, 4623, 4629, 4647, 4713, 4839, 4863, 4881, 4989, 5001, 5007, 5127, 5169, 5259, 5277, 5433, 5613, 5637, 5991, 5997, 6009, 6159, 6243, 6249, 6411, 6621, 6663, 6753, 6891, 6933, 6999, 7041, 7167, 7197, 7233, 7311, 7341, 7377, 7395, 7401, 7419, 7563, 7593, 7629, 7737, 7779, 7827, 7899, 7971, 8013, 8139, 8193, 8223, 8331, 8367, 8409, 8553, 8583, 8637, 8661, 8871, 8913, 8997, 9033, 9123, 9249, 9267, 9501, 9543, 9561, 9663, 9687, 9753, 9813, 9957, 9987, 10041, 10083, 10173, 10221, 10239, 10533, 10587, 10599, 10671, 10911, 10977, 11073, 11091, 11157, 11181, 11217, 11283, 11301, 11391, 11541, 11643, 11667, 11721, 11769, 12057, 12063, 12237, 12333, 12399, 12417, 12651, 12729, 12759, 12777, 12813, 12819, 12867, 13011, 13113, 13119, 13323, 13371, 13443, 13551, 13929, 13947, 13953, 14037, 14073, 14163, 14199, 14253, 14349, 14367, 14439, 14493, 14667, 14793, 14919, 14997, 15009, 15063, 15069, 15231, 15261, 15567, 15693, 15783, 15819, 15843, 15891, 15927, 15969, 16053, 16197, 16329, 16413, 16431, 16449, 16521, 16557, 16707, 16773, 16917, 16953, 16959, 16971, 17103, 17151, 17211, 17223, 17229, 17463, 17517, 17547, 17769.

Some larger examples :