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Curzon n.  and  cyclic n.

First numbers that belong to both sets:

1, 2, 5, 29, 33, 41, 53, 65, 69, 89, 113, 141, 173, 209, 221, 233, 249, 281, 293, 321, 329, 341, 345, 393, 413, 473, 485, 509, 545, 561, 581, 593, 629, 641, 653, 713, 749, 761, 785, 789, 809, 893, 933, 953, 965, 989, 1001, 1013, 1041, 1049, 1121, 1133, 1169, 1173, 1229, 1289, 1329, 1349, 1353, 1401, 1409, 1469, 1481, 1509, 1541, 1601, 1649, 1661, 1685, 1733, 1745, 1749, 1769, 1829, 1889, 1901, 1961, 1973, 2001, 2045, 2049, 2069, 2129, 2141, 2261, 2273, 2321, 2345, 2393, 2465, 2501, 2505, 2549, 2573, 2589, 2661, 2693, 2741, 2753, 2765, 2829, 2841, 2913, 2921, 2933, 2969, 2993, 3065, 3101, 3149, 3161, 3273, 3281, 3309, 3329, 3389, 3401, 3413, 3449, 3453, 3473, 3521, 3593, 3605, 3621, 3653, 3665, 3729, 3749, 3761, 3821, 3845, 3849, 3941, 3953, 4061, 4073, 4085, 4089, 4109, 4121, 4145, 4181, 4193, 4233, 4281, 4313, 4349, 4353, 4373, 4409, 4433, 4461, 4481, 4505, 4521, 4529, 4533, 4601, 4661, 4685, 4709, 4733, 4745, 4769, 4793, 4821, 5033, 5045, 5069, 5081, 5129, 5165, 5213, 5249, 5333, 5345, 5361, 5369, 5385, 5429, 5433, 5441, 5469, 5489, 5501, 5541, 5585, 5621, 5705, 5721, 5741, 5745, 5793, 5849, 5865, 5933, 5969, 5993, 6053, 6081, 6101, 6113, 6161, 6173, 6189, 6245, 6269, 6305, 6329, 6449, 6501, 6521, 6581, 6593, 6629, 6645, 6749, 6761, 6809, 6881, 6941, 6965, 7005, 7053, 7121, 7193, 7313, 7341, 7349, 7361, 7373, 7421, 7433, 7445, 7469, 7473, 7541, 7545, 7553, 7565, 7593, 7613, 7629, 7649, 7721, 7733, 7841, 7901, 7985, 8033, 8045, 8069, 8093, 8133, 8213, 8273, 8309, 8345, 8393, 8441, 8465, 8481, 8489, 8513, 8549, 8561, 8645, 8693, 8709, 8733, 8741, 8789, 8813, 8873, 8945, 8969, 8985, 9029, 9221.

Some larger examples :