First numbers that belong to both sets:
8,
17,
32,
57,
100,
145,
177,
320,
368,
512,
593,
945,
1124,
1649,
2169,
4240,
5392,
7073,
8361,
16580,
18785,
20412,
23401,
32993,
60049,
65792,
69632,
93312,
94932,
131361,
262468,
268705,
397585,
423393,
524649,
533169,
1048976,
1058576,
1596520,
1941760,
2097593,
4194788,
4208945,
4785713,
7861953,
8389137,
9865625,
10609137,
16777792,
16797952,
33554432,
33555057,
43050817,
45136576,
48989176,
61466176,
67109540,
67137425,
129145076,
134218457,
177264449,
244389457,
268436240,
268473872,
292475249,
364568617,
387426321,
536871753.