First numbers that belong to both sets:
1,
2,
3,
4,
7,
11,
29,
47,
76,
123,
199,
322,
521,
843,
1364,
2207,
3571,
9349,
15127,
24476,
39603,
64079,
103682,
167761,
271443,
439204,
710647,
1149851,
3010349,
4870847,
7881196.