First numbers that belong to both sets:
3,
7,
13,
19,
73,
109,
193,
433,
577,
1153,
1459,
2593,
2917,
3889,
10369,
12289,
17497,
139969,
147457,
472393,
786433,
839809,
995329,
1179649,
1492993,
11337409,
14155777,
19131877,
57395629,
63700993.