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Achilles n.  and  inconsummate n.

First numbers that belong to both sets:

432, 675, 972, 2592, 2888, 3872, 4232, 8712, 9248, 10368, 11552, 14792, 18432, 19652, 21600, 25088, 29403, 30375, 30752, 31104, 33275, 34848, 34992, 35912, 36504, 36992, 37044, 40328, 41503, 42336, 42632, 43200, 47628, 48600, 48668, 48672, 55125, 59643, 67500, 69192, 69984, 70227, 70304, 77976, 78608, 81608, 84500, 88200, 91592, 93987, 95048, 97200, 97556, 98784, 105125, 109503, 109512, 121032, 129032, 136107, 139392, 143648, 143883, 148176, 150152, 151875, 155952, 160083, 165888, 172872, 177608, 181447, 191664, 210125, 223587, 225792, 242208, 243675, 246924, 249696, 250632, 253125, 259200, 264600, 276125, 276768, 280908, 281216, 288800, 291848, 292032, 294912, 295704, 297992, 299475, 304200, 307328, 313632, 316808, 320787, 325125, 326432, 332667, 339488, 342792, 349448, 350892, 362952, 363096, 363312, 369603, 369800, 376712, 383328, 387200, 408608, 412232, 420500, 423200, 426888, 430592, 432000, 435125, 438048, 441000, 453152, 453789, 455877, 457056, 465125, 472392, 480491, 484812, 486000, 492032, 493848, 496125, 520200, 528125, 528392, 532512, 544428, 570312, 574592, 578888, 583443, 586971, 587528, 591872, 596232, 609725, 615627, 617400, 632736, 636192, 640332, 640712, 658952, 675000, 686792, 691488, 699867, 700928, 703125, 726192, 740772, 744200, 753003, 753992, 760500, 763848, 766656, 773768, 778752, 783752, 788768, 793016, 798768, 798848, 808992, 819200, 824328, 829472, 839808, 845000, 855468, 871200, 881792, 882000, 892143, 892448, 898425, 903125, 903168, 912600, 913952, 924800, 926100, 930248, 953312, 968832, 972000, 985527, 990125, 990584, 996872.