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binomial coefficient  and  interprime n.

First numbers that belong to both sets:

6, 15, 21, 45, 56, 105, 120, 165, 231, 300, 351, 462, 465, 495, 560, 680, 741, 780, 792, 816, 861, 924, 969, 1140, 1176, 1431, 1485, 3081, 3240, 3321, 3828, 4005, 4278, 4368, 5460, 5984, 6786, 6903, 7140, 7315, 7381, 7503, 7875, 8001, 8568, 8855, 10660, 10731, 11175, 11325, 11440, 11781, 12246, 12561, 12650, 13530, 13695, 14535, 14706, 15180, 15504, 17205, 17296, 17391, 18915, 19600, 21321, 22155, 23871, 24804, 29260, 30135, 30856, 30876, 31878, 32640, 33411, 36585, 39621, 40755, 41664, 42195, 42504, 43680, 43956, 44253, 45150, 45760, 46056, 47586, 49455, 49770, 51681, 58311, 59640, 60378, 62196, 67896, 69006, 71253, 80601, 82251, 84255, 84666, 86736, 87571, 88831, 89676, 90525, 91390, 92235, 94830, 97461, 98790, 101270, 106953, 108345, 109746, 112575, 119316, 122265, 129766, 130305, 139128, 146070, 147696, 158766, 161700, 162735, 166176, 166650, 169653, 169911, 170820, 172578, 177310, 182104, 190653, 192920, 198485, 198765, 201930, 204156, 205120, 205761, 206403, 208335, 209934, 214840, 216153, 222111, 227920, 229503, 230230, 231540, 235641, 250986, 252405, 267546, 269011, 269745, 271953, 280840, 280875, 281625, 286146, 288420, 303810, 306153, 309291, 315615, 316251, 318801, 321201, 325500, 333375, 346104, 353220, 360825, 378015, 391170, 407253, 432915, 437989, 440391, 457446, 468996, 474825, 475800, 477753, 483636, 489555, 497420, 499500, 508080, 511566, 520710, 522753, 545490, 546535, 564453, 570846, 573800, 574056, 577275, 598965, 606651, 608685, 612171, 615495, 618828, 623286, 630003, 635628, 659526, 664128, 666435, 671061, 678030, 679195, 685035, 705432, 708561, 714610, 715806, 726615, 735078, 748476, 753378, 757065, 763230, 766941, 768180, 781875, 783126, 793170, 795691, 808356, 836571, 846951, 862641, 870540, 882456, 906192, 906531, 908600, 920046, 922761, 936396, 955653, 959805, 962578, 980700, 982101, 986310, 989121, 997578, 1007490, 1016025, 1021384, 1023165, 1028790, 1037520, 1044735, 1046181, 1054878, 1063611, 1097421, 1107414, 1115271, 1121253, 1142316, 1154440, 1166628, 1169685, 1180416, 1188111, 1197378, 1202025, 1203576.

Some larger examples :