First numbers that belong to both sets:
17,
54,
57,
177,
320,
368,
593,
945,
1124,
1649,
2169,
2530,
5392,
6250,
16580,
18785,
20412,
60049,
65792,
69632,
93312,
131361,
178478,
262468,
397585,
524649,
1048976,
1058576,
4194788,
4208945,
4785713,
8389137,
10609137,
16797952,
33555057,
61466176,
67137425,
177264449,
244389457,
268436240,
268473872,
364568617,
536871753,
774840978.