First numbers that belong to both sets:
1,
2,
15,
64,
1351,
2048,
11522,
17344,
23479,
27776,
41728,
62269,
113653,
129859,
138510,
142976,
228032,
280960,
317875,
341504,
457451,
508226,
573952,
1004914,
1021568,
1161472,
1179809,
1313600,
1588199,
1656576,
1679797,
1848448,
1975583,
2081389,
2135680,
2190907,
2421335,
2542373,
2763776,
6667234,
9363968,
10350187,
10667001,
10990215,
11236864,
11912576,
11998897,
12614848,
13437289,
14588435,
14986273,
17084263,
17414912,
18317440,
18897055,
19250624.