First numbers that belong to both sets:
6,
28,
325,
496,
697,
2041,
8128,
96361,
159841,
250321,
275833,
389593,
495529,
542413,
808861,
1570153,
2287933,
2666437,
2708413,
2768581,
3328921,
3420301,
4013833,
4304341,
4312681,
4658449,
6392257,
7152001,
7478041,
8766061,
8883841,
9427657,
9699181.