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cyclic n.  and  D-number

First numbers that belong to both sets:

15, 33, 51, 69, 87, 123, 141, 159, 177, 213, 249, 267, 303, 321, 339, 393, 411, 447, 501, 519, 537, 573, 591, 681, 699, 717, 753, 771, 789, 807, 843, 879, 933, 951, 1041, 1059, 1077, 1149, 1167, 1203, 1257, 1293, 1329, 1347, 1383, 1401, 1437, 1473, 1509, 1527, 1563, 1671, 1689, 1707, 1761, 1779, 1797, 1851, 1923, 1941, 1959, 1977, 2031, 2049, 2103, 2157, 2229, 2283, 2319, 2391, 2427, 2463, 2481, 2517, 2571, 2589, 2643, 2661, 2733, 2787, 2823, 2841, 2859, 2913, 2931, 2949, 3039, 3057, 3093, 3147, 3183, 3273, 3291, 3309, 3327, 3453, 3489, 3543, 3561, 3579, 3651, 3669, 3687, 3777, 3831, 3849, 3867, 3903, 3921, 3957, 4083, 4101, 4119, 4227, 4281, 4299, 4317, 4353, 4443, 4461, 4479, 4497, 4533, 4569, 4659, 4677, 4713, 4749, 4803, 4821, 4839, 4857, 4911, 5001, 5091, 5127, 5163, 5199, 5361, 5433, 5469, 5541, 5613, 5631, 5667, 5703, 5721, 5739, 5793, 5847, 5919, 5937, 5991, 6009, 6081, 6117, 6189, 6207, 6243, 6261, 6297, 6333, 6387, 6423, 6459, 6621, 6639, 6711, 6729, 6801, 6819, 6891, 6927, 6999, 7017, 7053, 7071, 7143, 7179, 7197, 7233, 7251, 7269, 7323, 7341, 7377, 7395, 7431, 7593, 7629, 7647, 7737, 7773, 7827, 7863, 7899, 7971, 7989, 8061, 8079, 8097, 8133, 8187, 8223, 8259, 8331, 8367, 8403, 8457, 8511, 8529, 8583, 8637, 8691, 8709, 8727, 8781, 8817, 8871, 8889, 8907, 8997, 9033, 9069, 9123, 9249, 9267, 9357, 9411, 9501, 9573, 9609, 9627, 9663, 9753, 9771, 9897, 9969, 9987, 10041, 10077, 10113, 10167, 10221, 10239, 10347, 10383, 10401, 10473, 10581, 10599, 10617, 10671, 10743, 10779, 10851, 10869, 10977, 11013, 11031, 11103, 11157, 11283, 11301, 11337, 11391, 11409, 11463, 11499, 11553, 11589, 11643, 11733, 11751, 11769, 11787, 11841, 11967, 12003, 12021.

Some larger examples :