First numbers that belong to both sets:
1729,
2465,
2821,
6601,
10585,
41041,
46657,
63973,
75361,
530881,
748657,
825265,
1024651,
1050985,
1461241,
1569457,
2113921,
2433601,
2508013,
3224065,
3581761,
4767841,
4903921,
5148001,
5968873,
6733693,
6840001,
6868261,
7207201,
7519441,
8134561,
8719309,
8830801,
8927101,
9890881.