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D-number  and  interprime n.

First numbers that belong to both sets:

9, 15, 21, 39, 69, 93, 111, 129, 195, 309, 315, 381, 393, 399, 453, 489, 501, 687, 723, 771, 879, 933, 939, 1011, 1167, 1299, 1443, 1527, 1563, 1569, 1839, 1941, 1983, 2157, 2217, 2229, 2271, 2391, 2463, 2661, 2811, 2859, 2913, 3039, 3099, 3189, 3453, 3459, 3651, 3849, 3909, 3921, 3957, 4119, 4353, 4449, 4629, 4791, 4971, 5001, 5079, 5169, 5349, 5403, 5631, 5739, 5997, 6009, 6033, 6117, 6207, 6333, 6393, 6891, 6999, 7023, 7041, 7233, 7341, 7671, 8097, 8373, 8553, 8691, 8781, 9201, 9249, 9267, 9543, 10173, 10599, 10677, 10815, 11103, 11283, 11469, 11667, 11829, 12009, 12039, 12099, 12153, 12219, 12273, 12279, 12417, 12693, 12891, 12981, 13263, 13353, 13389, 13641, 13917, 14187, 14631, 14727, 14763, 14829, 15261, 15303, 15441, 15681, 16251, 16449, 16557, 16953, 16971, 17103, 17337, 17529, 17571, 17817, 18129, 18159, 18399, 18519, 18915, 18933, 19011, 19263, 19281, 19353, 19419, 19713, 19797, 19857, 20067, 20337, 20379, 20409, 20481, 20751, 20883, 20901, 21237, 21321, 21381, 21387, 21561, 22461, 22521, 22569, 22641, 22647, 22719, 22773, 22809, 22929, 23007, 23019, 23061, 23151, 23181, 23559, 23601, 23631, 23757, 23781, 23979, 24117, 24243, 24333, 24441, 24513, 24627, 24933, 25257, 25341, 25539, 25581, 25881, 25941, 25989, 26157, 26493, 27453, 27597, 27663, 27681, 27717, 27849, 27957, 28023, 28029, 28293, 28653, 28869, 29247, 29307, 29343, 29373, 29433, 29571, 29577, 29919, 30021, 30111, 30207, 30777, 30813, 30939, 31389, 31677, 32061, 32073, 32259, 32583, 32817, 33207, 33351, 33483, 33531, 33639, 33717, 33771, 33819, 33951, 34059, 34197, 34761, 35103, 35151, 35421, 35499, 35799, 36213, 36303, 36471, 36633, 36717, 36789, 37131, 37263, 37311, 37473, 37491, 37509, 37533, 37839, 37857, 37977, 38559, 38733, 38919, 39021, 39297, 39363, 39441, 39531, 39723, 39873, 39981, 39999, 40011, 40191, 40431, 40881, 41043, 41079.

Some larger examples :