First numbers that belong to both sets:
3,
5,
7,
11,
22,
42,
56,
176,
385,
1002,
1255,
1958,
4565,
5604,
12310,
14883,
17977,
53174,
63261,
281589,
386155,
715220,
966467,
1300156,
2012558,
3554345,
4697205,
5392783,
6185689,
9289091.