First numbers that belong to both sets:
2,
29,
65,
254,
641,
650,
785,
1001,
2225,
4250,
6410,
10010,
15689,
16265,
22250,
40025,
100001,
162650,
220250,
393185,
416225,
646625,
655625,
1000001,
1600625,
2950625,
4000025,
6556250,
10000001,
29506250,
97657274,
97666490.