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Search a number
amenable n.  and  interprime n.

First numbers that belong to both sets:

9, 12, 21, 45, 56, 60, 64, 69, 72, 76, 81, 93, 105, 108, 120, 129, 144, 160, 165, 176, 180, 192, 205, 217, 225, 228, 236, 240, 260, 288, 300, 309, 312, 324, 348, 356, 376, 381, 393, 405, 420, 432, 436, 441, 453, 465, 473, 489, 501, 532, 544, 552, 560, 596, 600, 604, 625, 636, 645, 656, 660, 680, 696, 705, 736, 741, 765, 780, 792, 816, 825, 828, 861, 885, 897, 909, 924, 933, 944, 960, 969, 980, 1016, 1020, 1032, 1036, 1044, 1056, 1089, 1092, 1100, 1113, 1120, 1140, 1152, 1176, 1184, 1197, 1220, 1268, 1281, 1305, 1313, 1320, 1324, 1344, 1364, 1377, 1404, 1416, 1425, 1428, 1436, 1449, 1452, 1456, 1465, 1476, 1485, 1488, 1496, 1505, 1517, 1537, 1556, 1569, 1581, 1604, 1608, 1616, 1620, 1624, 1632, 1660, 1665, 1668, 1681, 1704, 1728, 1737, 1744, 1756, 1768, 1780, 1785, 1788, 1817, 1864, 1869, 1872, 1884, 1904, 1932, 1941, 1976, 2001, 2028, 2085, 2088, 2105, 2112, 2121, 2148, 2157, 2205, 2217, 2229, 2241, 2268, 2277, 2284, 2336, 2340, 2344, 2349, 2364, 2396, 2405, 2420, 2444, 2453, 2512, 2541, 2568, 2585, 2592, 2601, 2613, 2640, 2652, 2661, 2680, 2685, 2688, 2696, 2709, 2712, 2716, 2724, 2736, 2745, 2760, 2772, 2840, 2892, 2900, 2913, 2933, 2960, 2985, 3000, 3021, 3045, 3064, 3073, 3081, 3120, 3129, 3165, 3168, 3184, 3189, 3197, 3213, 3225, 3240, 3252, 3265, 3285, 3300, 3304, 3316, 3321, 3337, 3345, 3353, 3360, 3372, 3381, 3441, 3453, 3465, 3468, 3480, 3505, 3528, 3536, 3540, 3544, 3552, 3565, 3576, 3588, 3600, 3620, 3640, 3665, 3672, 3684, 3705, 3736, 3764, 3768, 3800, 3812, 3828, 3840, 3849, 3852, 3885, 3909, 3921, 3937, 3945, 3957, 4005, 4016, 4020, 4024, 4065.

Some larger examples :