First numbers that belong to both sets:
1,
271,
933,
1285,
3563,
6409,
12131,
23101,
47377,
51833,
66859,
91061,
128731,
197107,
245309,
300791,
315859,
516037,
605759,
629707,
731809,
844391,
936013,
967965,
1068167,
1103043,
1212209,
1368651,
1409759,
1538005,
1582421,
1720783,
1917497,
1968913,
2183767,
2413709,
2853953,
3199183,
3727711,
3807659,
4399523,
4763757,
5246627,
7378009,
7503857,
7889971,
8562541,
9127315,
9716393.