First numbers that belong to both sets:
645,
4369,
13747,
15709,
88357,
157641,
642001,
656601,
1507963,
2269093,
2313697,
4101637,
7428421,
7429117,
8388607,
22669501,
26296401,
27218269,
27336673,
28011001,
32701297,
34487601,
36507801,
37167361,
47903701,
54215161,
71804161,
72498253,
74411131,
82279741,
86438857,
86530621,
93614521,
96135601,
97863529.