First numbers that belong to both sets:
3,
5,
7,
13,
17,
19,
37,
73,
97,
109,
193,
257,
433,
487,
577,
769,
1153,
1459,
2917,
3457,
3889,
12289,
18433,
52489,
65537,
147457,
209953,
746497,
786433,
839809,
995329,
1179649,
1492993,
1769473,
1990657,
8503057.