First numbers that belong to both sets:
561,
2465,
8481,
9605,
12801,
21845,
313181,
359601,
524841,
645569,
792485,
1398101,
1769801,
2142141,
2162721,
2288661,
2321061,
3400881,
4499321,
4746281,
5436321,
5774133,
8998341,
9127721,
9445521,
9502865,
9748565,
10053681,
10201101,
10251473,
10455621,
10603461,
10922241,
13113101,
15382221,
15604961,
15708561,
16051281,
17600645,
17921681,
18694001,
19545621,
19557021,
22721061,
22858421,
30564353,
33402461,
36471821,
37806861,
45437981,
46681181,
49349361,
53008941,
58152161,
59484741,
60357701,
62353061,
66092909,
66114021,
70684361,
75634581,
78214973,
79805685,
81042501,
82416101,
88671561,
89907081,
93980301,
100189041,
147130565,
151530401,
151833561,
156858801,
160850481,
163484861,
164530829,
169619501,
172855541,
174352641,
184504881.