First numbers that belong to both sets:
2,
7,
11,
25,
29,
101,
133,
205,
250,
641,
2000,
2005,
2225,
2500,
8125,
10001,
15689,
16265,
16625,
20005,
22025,
22250,
35125,
70000,
80125,
81250,
100001,
110000,
156314,
166250,
205000,
206125,
220250,
222500,
290000,
323125,
351250,
425000,
500002,
520000,
646625,
650000,
655625,
801250,
812500,
925000,
1000001,
1010000,
1330000,
1600625,
1662500,
1958245,
2000005,
2004325,
2005000,
2061250,
2202500,
2504000,
2540000,
3231250,
3512500,
4025000,
5020000,
6410000,
6466250,
6556250,
7073125,
7850000,
8012500,
10000001,
12508000,
12580000,
16006250,
16265000.