First numbers that belong to both sets:
8,
32,
100,
145,
512,
4240,
7073,
8361,
23401,
32993,
94932,
268705,
423393,
533169,
1596520,
1647086,
1941760,
2012174,
2097593,
7861953,
9865625,
14352282,
16777792,
33554432,
43050817,
45136576,
48989176,
67109540,
129145076,
134218457,
292475249,
387426321.