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Chen prime  and  cyclic n.

First numbers that belong to both sets:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 59, 67, 71, 83, 89, 101, 107, 109, 113, 127, 131, 137, 139, 149, 157, 167, 179, 181, 191, 197, 199, 211, 227, 233, 239, 251, 257, 263, 269, 281, 293, 307, 311, 317, 337, 347, 353, 359, 379, 389, 401, 409, 419, 431, 443, 449, 461, 467, 479, 487, 491, 499, 503, 509, 521, 541, 557, 563, 569, 571, 577, 587, 599, 617, 631, 641, 647, 653, 659, 677, 683, 701, 719, 743, 751, 761, 769, 787, 797, 809, 811, 821, 827, 829, 839, 857, 863, 877, 881, 887, 911, 919, 937, 941, 947, 953, 971, 977, 983, 991, 1009, 1019, 1031, 1039, 1049, 1061, 1091, 1097, 1109, 1117, 1151, 1163, 1187, 1193, 1201, 1217, 1229, 1259, 1277, 1283, 1289, 1291, 1297, 1301, 1319, 1327, 1361, 1367, 1381, 1399, 1409, 1427, 1439, 1451, 1459, 1471, 1481, 1487, 1499, 1511, 1553, 1559, 1567, 1583, 1601, 1607, 1619, 1621, 1637, 1667, 1669, 1697, 1709, 1721, 1733, 1759, 1777, 1787, 1801, 1847, 1871, 1877, 1889, 1901, 1907, 1913, 1931, 1949, 1979, 1997, 2003, 2017, 2027, 2029, 2039, 2069, 2081, 2087, 2099, 2111, 2129, 2141, 2153, 2179, 2207, 2213, 2237, 2243, 2251, 2267, 2269, 2281, 2309, 2333, 2339, 2351, 2357, 2381, 2389, 2393, 2411, 2417, 2441, 2447, 2459, 2467, 2477, 2531, 2543, 2549, 2557, 2579, 2591, 2609, 2621, 2647, 2657, 2659, 2687, 2699, 2711, 2719, 2729, 2731, 2741, 2777, 2789, 2801, 2837, 2843, 2857, 2861, 2879, 2897, 2909, 2927, 2939, 2957, 2963, 2969, 2971, 2999, 3011, 3037, 3041, 3061, 3083, 3089, 3119, 3137, 3167, 3181, 3187, 3191, 3203, 3221, 3251, 3257, 3259, 3271, 3299, 3307, 3329, 3347, 3359.

Some larger examples :