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arithmetic n.  and  interprime n.

First numbers that belong to both sets:

6, 15, 21, 30, 39, 42, 45, 56, 60, 69, 86, 93, 99, 102, 105, 111, 129, 134, 138, 150, 154, 165, 186, 195, 198, 205, 217, 231, 236, 246, 254, 260, 266, 270, 282, 309, 315, 334, 342, 348, 351, 356, 376, 381, 393, 399, 414, 420, 426, 432, 446, 453, 459, 462, 465, 473, 483, 489, 495, 501, 506, 515, 552, 566, 570, 574, 582, 590, 596, 615, 618, 636, 642, 645, 660, 667, 687, 705, 714, 723, 736, 741, 747, 759, 765, 771, 780, 803, 822, 825, 834, 846, 855, 858, 861, 870, 879, 885, 897, 909, 915, 924, 933, 939, 944, 950, 969, 974, 980, 987, 994, 1003, 1011, 1016, 1020, 1026, 1032, 1050, 1056, 1062, 1078, 1095, 1106, 1113, 1120, 1126, 1140, 1158, 1167, 1190, 1207, 1215, 1220, 1230, 1243, 1254, 1268, 1278, 1281, 1286, 1290, 1294, 1299, 1302, 1305, 1313, 1320, 1364, 1390, 1416, 1428, 1431, 1436, 1443, 1449, 1465, 1482, 1485, 1491, 1505, 1517, 1527, 1537, 1551, 1556, 1563, 1569, 1581, 1590, 1599, 1604, 1608, 1611, 1624, 1632, 1647, 1660, 1665, 1695, 1698, 1704, 1715, 1722, 1744, 1750, 1780, 1785, 1788, 1795, 1806, 1817, 1827, 1839, 1854, 1869, 1878, 1895, 1910, 1932, 1941, 1950, 1983, 1990, 1995, 1998, 2001, 2014, 2022, 2046, 2058, 2075, 2082, 2085, 2094, 2105, 2121, 2130, 2134, 2139, 2142, 2148, 2157, 2170, 2191, 2205, 2217, 2229, 2238, 2241, 2247, 2259, 2271, 2277, 2295, 2303, 2310, 2322, 2349, 2354, 2364, 2374, 2379, 2382, 2391, 2396, 2405, 2414, 2430, 2444, 2453, 2463, 2470, 2490, 2526, 2535, 2546, 2550, 2568, 2585, 2613, 2619, 2627, 2652, 2658, 2661, 2667, 2674, 2685, 2688, 2691, 2703, 2724, 2730, 2745, 2751, 2760, 2783, 2790, 2794, 2799.

Some larger examples :