First numbers that belong to both sets:
3,
5,
7,
13,
17,
19,
37,
73,
97,
109,
163,
193,
257,
433,
487,
577,
769,
1153,
1297,
1459,
2593,
2917,
3457,
3889,
10369,
12289,
17497,
18433,
39367,
52489,
65537,
139969,
147457,
209953,
331777,
472393,
629857,
746497,
786433,
839809,
995329,
1179649,
1492993,
1769473,
1990657,
2654209,
5038849,
5308417,
8503057.