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interprime n.  and  Zumkeller n.

First numbers that belong to both sets:

6, 12, 30, 42, 56, 60, 102, 108, 120, 138, 150, 160, 176, 180, 186, 192, 198, 228, 240, 246, 260, 270, 282, 300, 312, 342, 348, 414, 420, 426, 432, 462, 522, 532, 544, 552, 560, 570, 582, 600, 618, 636, 642, 650, 660, 680, 696, 714, 736, 780, 792, 810, 816, 822, 828, 834, 858, 870, 924, 960, 980, 1020, 1026, 1032, 1036, 1044, 1050, 1056, 1092, 1100, 1120, 1140, 1158, 1176, 1184, 1190, 1220, 1230, 1254, 1290, 1302, 1320, 1344, 1404, 1416, 1428, 1452, 1456, 1476, 1482, 1488, 1496, 1575, 1590, 1608, 1620, 1624, 1632, 1660, 1668, 1698, 1704, 1722, 1728, 1750, 1768, 1780, 1788, 1806, 1872, 1878, 1884, 1904, 1932, 1950, 1976, 1998, 2022, 2028, 2046, 2058, 2082, 2088, 2094, 2112, 2130, 2142, 2148, 2170, 2205, 2210, 2238, 2268, 2310, 2322, 2340, 2364, 2382, 2420, 2430, 2470, 2490, 2526, 2550, 2568, 2640, 2652, 2658, 2680, 2688, 2712, 2716, 2724, 2730, 2736, 2760, 2772, 2790, 2802, 2835, 2840, 2870, 2892, 2900, 2922, 2946, 2960, 2970, 3000, 3030, 3120, 3150, 3168, 3240, 3252, 3300, 3304, 3330, 3360, 3366, 3372, 3390, 3410, 3462, 3465, 3468, 3480, 3522, 3536, 3540, 3552, 3558, 3576, 3588, 3620, 3640, 3672, 3684, 3714, 3750, 3768, 3774, 3786, 3800, 3822, 3828, 3840, 3858, 3870, 3918, 3930, 3978, 4002, 4020, 4038, 4092, 4128, 4136, 4146, 4158, 4206, 4218, 4224, 4230, 4236, 4242, 4248, 4256, 4260, 4266, 4272, 4278, 4312, 4332, 4344, 4360, 4368, 4422, 4460, 4472, 4482, 4488, 4500, 4510, 4548, 4564, 4600, 4638, 4650, 4660, 4668, 4676, 4712, 4722, 4788, 4800, 4824, 4866, 4896, 4914, 4940, 4962, 4968, 4980, 5010, 5016, 5022, 5068, 5100, 5104, 5110, 5160, 5232, 5280, 5300, 5316, 5328, 5340, 5390, 5418.

Some larger examples :