First numbers that belong to both sets:
561,
1105,
1729,
2465,
2821,
6601,
8911,
10585,
15841,
29341,
46657,
52633,
115921,
162401,
252601,
294409,
314821,
334153,
399001,
410041,
488881,
512461,
530881,
1024651,
1152271,
1193221,
1461241,
1615681,
1857241,
1909001,
2508013,
3057601,
3581761,
3828001,
4335241,
5049001,
5148001,
5444489,
5481451,
5968873,
6189121,
6733693,
6868261,
7207201,
7519441,
8134561,
9439201,
10024561,
10267951,
11972017,
14469841,
14676481,
14913991,
15247621,
15829633,
17098369,
17236801,
17316001,
19384289,
23382529,
26280073,
29111881,
31405501,
34657141,
35703361,
36765901,
37964809,
43331401,
50201089,
53711113,
56052361,
60957361,
62756641,
64377991,
67902031,
68154001,
79411201,
79624621,
82929001,
84350561,
90698401,
92625121,
96895441,
99036001.