First numbers that belong to both sets:
1,
5,
8,
13,
21,
89,
144,
233,
377,
1597,
2584,
4181,
6765,
28657,
46368,
75025,
121393,
514229,
832040,
1346269,
2178309,
9227465,
14930352,
24157817,
39088169,
165580141,
267914296,
433494437,
701408733.