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cyclic n.  and  semiprime

First numbers that belong to both sets:

15, 33, 35, 51, 65, 69, 77, 85, 87, 91, 95, 115, 119, 123, 133, 141, 143, 145, 159, 161, 177, 185, 187, 209, 213, 215, 217, 221, 235, 247, 249, 259, 265, 267, 287, 295, 299, 303, 319, 321, 323, 329, 335, 339, 341, 365, 371, 377, 391, 393, 395, 403, 407, 411, 413, 415, 427, 437, 445, 447, 451, 469, 473, 481, 485, 493, 501, 511, 515, 517, 519, 527, 533, 535, 537, 545, 551, 553, 559, 565, 573, 581, 583, 589, 591, 611, 623, 629, 635, 649, 667, 671, 679, 681, 685, 695, 697, 699, 703, 707, 713, 717, 721, 731, 745, 749, 753, 763, 767, 771, 779, 781, 785, 789, 793, 799, 803, 807, 815, 817, 835, 843, 851, 865, 869, 871, 879, 893, 895, 899, 901, 913, 917, 923, 933, 943, 949, 951, 959, 965, 973, 985, 989, 995, 1003, 1007, 1037, 1041, 1043, 1057, 1059, 1067, 1073, 1077, 1079, 1099, 1111, 1115, 1121, 1133, 1135, 1139, 1141, 1145, 1147, 1149, 1157, 1159, 1165, 1167, 1169, 1177, 1189, 1195, 1199, 1203, 1207, 1211, 1219, 1241, 1243, 1247, 1253, 1257, 1261, 1267, 1271, 1273, 1285, 1293, 1313, 1315, 1329, 1333, 1337, 1339, 1343, 1345, 1347, 1349, 1351, 1357, 1363, 1383, 1385, 1387, 1391, 1393, 1397, 1401, 1403, 1411, 1415, 1417, 1437, 1441, 1457, 1465, 1469, 1473, 1501, 1507, 1509, 1513, 1517, 1527, 1529, 1535, 1537, 1541, 1561, 1563, 1565, 1577, 1585, 1589, 1591, 1603, 1631, 1633, 1639, 1643, 1649, 1651, 1661, 1671, 1679, 1685, 1687, 1689, 1691, 1707, 1717, 1727, 1735, 1739, 1745, 1757, 1761, 1763, 1765, 1769, 1779, 1781, 1793, 1795, 1797, 1799, 1807, 1817, 1819, 1829, 1835, 1837, 1841, 1843, 1851, 1853, 1865, 1883.

Some larger examples :