First numbers that belong to both sets:
1729,
4104,
13832,
20683,
32832,
40033,
65728,
110656,
165464,
262656,
320264,
443889,
525824,
885248,
984067,
1323712,
1331064,
1533357,
1774656,
2048391,
2101248,
2418271,
2562112,
2691451,
2991816,
3375008,
3551112,
3587409,
3628233,
4206592,
4511808,
4931101,
5004125,
5446359,
5462424,
5832729,
7081984,
7094269,
7872536,
8216000,
8872487.