First numbers that belong to both sets:
481,
1729,
4033,
12801,
368641,
460801,
1247233,
2181121,
3225601,
8355841,
14192641,
30564353,
33546241,
40280065,
43524097,
79872001,
89456641,
385351681,
636026881,
1398865921,
3458138113,
3460104193,
4161601537,
4618715137,
6761349121,
15744368641,
35078799361,
46415216641,
53282340865,
73657221121,
116321157121,
367924346881,
763546828801,
888547573761.