First numbers that belong to both sets:
2,
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,
11337409,
14155777,
19131877,
28311553,
57395629,
63700993,
71663617,
86093443,
102036673,
113246209,
120932353,
169869313,
258280327,
483729409,
725594113,
1088391169,
1811939329,
2717908993,
3221225473,
3439853569,
4076863489,
6879707137,
10871635969,
11609505793,
18345885697,
29386561537,
69657034753,
77309411329,
123834728449,
206158430209,
251048476873,
347892350977,
880602513409.