First numbers that belong to both sets:
8,
17,
32,
57,
145,
177,
512,
593,
1124,
1649,
2169,
5392,
6250,
7073,
8361,
18785,
23401,
32993,
60049,
131361,
178478,
262468,
268705,
397585,
423393,
524649,
533169,
1048976,
1058576,
1647086,
2012174,
2097593,
4194788,
4208945,
4785713,
7861953,
8389137,
9865625.