First numbers that belong to both sets:
1,
2,
4,
7,
11,
47,
76,
199,
322,
521,
1364,
2207,
3571,
9349,
15127,
39603,
64079,
167761,
271443,
710647,
1149851,
3010349,
4870847,
7881196,
12752043,
20633239,
33385282,
87403803,
141422324,
228826127,
370248451,
969323029.