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D-number  and  Duffinian n.

First numbers that belong to both sets:

9, 21, 39, 57, 63, 93, 111, 129, 183, 201, 219, 237, 291, 309, 327, 381, 399, 417, 453, 471, 489, 543, 579, 597, 633, 669, 687, 723, 813, 831, 849, 921, 939, 993, 1011, 1047, 1101, 1119, 1137, 1191, 1227, 1263, 1299, 1317, 1371, 1389, 1443, 1461, 1497, 1569, 1623, 1641, 1713, 1731, 1803, 1821, 1839, 1857, 1893, 1929, 1953, 1983, 2019, 2073, 2127, 2181, 2199, 2217, 2253, 2271, 2307, 2361, 2433, 2469, 2487, 2559, 2577, 2631, 2649, 2721, 2757, 2811, 2901, 2973, 2991, 3027, 3063, 3099, 3117, 3153, 3189, 3207, 3261, 3279, 3351, 3369, 3387, 3459, 3513, 3603, 3639, 3693, 3711, 3747, 3837, 3843, 3873, 3891, 3909, 3963, 3981, 4143, 4197, 4269, 4287, 4341, 4359, 4377, 4413, 4449, 4467, 4593, 4629, 4647, 4701, 4737, 4791, 4827, 4863, 4881, 4971, 4989, 5007, 5079, 5097, 5169, 5223, 5241, 5259, 5277, 5331, 5349, 5367, 5403, 5493, 5583, 5601, 5619, 5637, 5799, 5853, 5961, 5979, 5997, 6033, 6051, 6087, 6159, 6249, 6267, 6339, 6393, 6411, 6429, 6483, 6537, 6609, 6663, 6717, 6753, 6807, 6843, 6861, 6879, 6933, 7023, 7041, 7113, 7131, 7149, 7167, 7311, 7401, 7419, 7509, 7563, 7617, 7653, 7671, 7779, 7851, 7941, 7977, 8013, 8031, 8049, 8067, 8121, 8139, 8157, 8193, 8247, 8301, 8373, 8391, 8409, 8499, 8553, 8571, 8661, 8751, 8859, 8913, 9003, 9057, 9111, 9147, 9183, 9201, 9237, 9327, 9363, 9489, 9507, 9543, 9561, 9651, 9687, 9759, 9777, 9813, 9903, 9921, 9939, 9957, 9993, 10029, 10083, 10119, 10173, 10299, 10371, 10389, 10407, 10497, 10533, 10551, 10587, 10623, 10641, 10677, 10713, 10749, 10821, 10839, 10893, 10911, 10929, 11019, 11073, 11091, 11127, 11181, 11199, 11217, 11307, 11379, 11469, 11541, 11559, 11631, 11667, 11721, 11757, 11793, 11829, 11901, 12009, 12063, 12081.

Some larger examples :