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interprime n.  and  wasteful n.

First numbers that belong to both sets:

4, 6, 9, 12, 18, 26, 30, 34, 39, 42, 45, 50, 56, 60, 69, 72, 76, 86, 93, 99, 102, 108, 120, 138, 144, 150, 154, 165, 170, 176, 180, 186, 195, 198, 225, 228, 231, 236, 240, 246, 254, 260, 266, 270, 274, 279, 282, 288, 300, 309, 312, 315, 324, 334, 342, 348, 351, 356, 363, 370, 376, 381, 386, 393, 399, 414, 420, 426, 432, 436, 441, 446, 453, 459, 462, 465, 473, 483, 489, 495, 501, 506, 515, 522, 532, 544, 552, 560, 566, 570, 574, 582, 590, 596, 600, 604, 610, 615, 618, 636, 642, 645, 650, 656, 660, 667, 675, 680, 687, 696, 705, 714, 723, 730, 736, 741, 747, 754, 759, 765, 771, 780, 792, 803, 810, 816, 822, 825, 828, 834, 846, 855, 858, 861, 870, 879, 882, 885, 897, 909, 915, 924, 933, 939, 944, 950, 960, 969, 974, 980, 987, 994, 1016, 1020, 1026, 1032, 1036, 1044, 1050, 1056, 1062, 1066, 1078, 1089, 1092, 1100, 1140, 1158, 1176, 1190, 1197, 1220, 1230, 1243, 1254, 1268, 1278, 1290, 1302, 1305, 1313, 1320, 1324, 1364, 1370, 1390, 1404, 1416, 1425, 1428, 1436, 1443, 1449, 1452, 1456, 1476, 1482, 1485, 1488, 1496, 1551, 1556, 1575, 1581, 1590, 1599, 1604, 1608, 1611, 1616, 1620, 1624, 1632, 1660, 1665, 1668, 1695, 1698, 1704, 1722, 1737, 1744, 1756, 1768, 1780, 1785, 1788, 1806, 1827, 1854, 1864, 1872, 1878, 1884, 1904, 1910, 1932, 1950, 1962, 1976, 1990, 1995, 1998, 2001, 2007, 2014, 2022, 2028, 2034, 2046, 2066, 2082, 2085, 2088, 2094, 2112, 2121, 2130, 2134, 2139, 2142, 2148, 2170, 2205, 2210, 2238, 2247, 2259, 2268, 2277, 2284, 2290, 2295, 2310, 2322, 2340, 2344, 2354, 2364, 2374.

Some larger examples :