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cyclic n.  and  truncatable prime

First numbers that belong to both sets:

2, 3, 5, 7, 13, 17, 23, 29, 31, 37, 43, 47, 53, 59, 67, 71, 73, 79, 83, 97, 113, 137, 167, 173, 197, 223, 233, 239, 283, 293, 311, 313, 317, 337, 347, 353, 367, 373, 379, 383, 397, 443, 467, 523, 547, 593, 599, 613, 617, 643, 647, 653, 673, 683, 719, 733, 739, 743, 773, 797, 823, 853, 883, 937, 947, 953, 967, 983, 997, 1223, 1283, 1367, 1373, 1523, 1613, 1823, 1997, 2113, 2137, 2333, 2339, 2347, 2383, 2393, 2399, 2467, 2617, 2647, 2683, 2797, 2939, 2953, 3119, 3137, 3167, 3313, 3347, 3373, 3467, 3547, 3613, 3617, 3643, 3673, 3733, 3739, 3793, 3797, 3823, 3853, 3947, 3967, 4283, 4337, 4373, 4397, 4523, 4547, 4643, 4673, 4937, 4967, 5113, 5167, 5197, 5347, 5443, 5647, 5653, 5683, 5743, 5939, 5953, 6113, 6173, 6197, 6317, 6337, 6353, 6367, 6373, 6397, 6547, 6653, 6673, 6823, 6883, 6947, 6967, 6983, 6997, 7193, 7283, 7331, 7333, 7393, 7523, 7547, 7643, 7673, 7823, 7853, 7883, 7937, 8167, 8317, 8353, 8443, 8467, 8647, 9137, 9173, 9283, 9337, 9397, 9467, 9547, 9613, 9643, 9743, 9883, 9967, 12113, 12347, 12647, 12953, 13313, 13613, 13967, 15443, 15647, 15683, 16547, 16673, 16823, 16883, 18353, 18443, 21283, 21523, 21613, 21997, 23167, 23333, 23339, 23399, 23993, 24337, 24373, 24547, 24967, 26113, 26317, 26947, 27283, 27673, 27823, 27883, 29137, 29173, 29399, 31193, 31223, 31379, 32467, 32647, 32797, 33347, 33547, 33613, 33617, 33797, 33967, 34283, 34337, 34673, 36353, 36373, 36653, 36947, 36997, 37337, 37339, 37397, 37547, 37643, 37853, 38167, 38317, 39397, 39883, 42467, 42683, 42797, 42953, 43313, 43613, 43853, 45197, 45953, 46337, 46997, 48353, 48647, 49547, 49613, 51283, 51613, 53617, 54547, 54673, 56113, 56197, 56983, 57283, 57853, 59393, 59399, 59467, 59743.

Some larger examples :