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binomial coefficient  and  unprimeable n.

First numbers that belong to both sets:

325, 1140, 1330, 1716, 2485, 3240, 3486, 4060, 4186, 4845, 5456, 5460, 5995, 6188, 6435, 7140, 7260, 7315, 7770, 8256, 8855, 10296, 10440, 10878, 12870, 14706, 15504, 15576, 16290, 18336, 18564, 19110, 19900, 20825, 20910, 21115, 23426, 25200, 26796, 27028, 27132, 27495, 27720, 29890, 30628, 31824, 32896, 34220, 34716, 35245, 36046, 37675, 37820, 38226, 39060, 41328, 43365, 43680, 45150, 46360, 46376, 47895, 48205, 48516, 49770, 52650, 53130, 54740, 55278, 56280, 57155, 59640, 59685, 61075, 61425, 61776, 62835, 64824, 64980, 72390, 73150, 73536, 73920, 74305, 75466, 78210, 84255, 84666, 85078, 85320, 86736, 88560, 98280, 98790, 100576, 102340, 102378, 103740, 104196, 105570, 107416, 109736, 110215, 111156, 111930, 113526, 115440, 116280, 117480, 118828, 120786, 125250, 125580, 125970, 128778, 132355, 132870, 137550, 138415, 139656, 140185, 142880, 143916, 147696, 161028, 161700, 162165, 165025, 166176, 167960, 170544, 173166, 173755, 179700, 186355, 186966, 192510, 195000, 195625, 198485, 201295, 201376, 203490, 207690, 217470, 220116, 224785, 227920, 228150, 233586, 240464, 244650, 245350, 249900, 250986, 251695, 253116, 259560, 264628, 265356, 266815, 266916, 270480, 270725, 276396, 277140, 278256, 279378, 285390, 286146, 287980, 291466, 292825, 293930, 296065, 299925, 300700, 306936, 307720, 310078, 312445, 313236, 316410, 317750, 319770, 323610, 325500, 328455, 330078, 331705, 332520, 333375, 335790, 341376, 343206, 345696, 346104, 349866, 353220, 355746, 359976, 366145, 367290, 369370, 370230, 373680, 374545, 376278, 376740, 376992, 383250, 384126, 386760, 393828, 395010, 395605, 396495, 397386, 401856, 405450, 408156, 410040, 412686, 415416, 416328, 419070, 419220, 419986, 432915, 434778, 441330, 447580, 450775, 453628, 457446, 460320, 461280, 464166, 468996, 472878, 474825, 475020, 476776, 479710, 480690, 483636, 487578, 496506, 497640, 504510, 511566, 514605, 516636, 518665, 521855, 525825, 527878, 528906, 533028, 536130, 541320, 544446, 546535, 549676, 551300, 555985, 557845, 566580, 571915, 572985, 582660, 583740, 591328, 592416, 594595, 595665, 596904, 600060, 601156, 604450.

Some larger examples :