First numbers that belong to both sets:
2,
7,
11,
25,
29,
52,
65,
101,
110,
133,
205,
250,
254,
290,
425,
502,
641,
785,
925,
1001,
1010,
1258,
2005,
2050,
2225,
2504,
3157,
3445,
4025,
4250,
5002,
6266,
6325,
6410,
7850,
8125,
9250,
10001,
12508,
15689,
16265,
16625,
20005,
20050,
22025,
22250,
31282,
35125,
40025,
50002,
62516,
78253,
79405,
79625,
80125,
90925,
100001,
100010,
156314,
156890,
160625,
162650,
200005,
200050,
206125,
220250,
250004,
312532,
323125,
351250,
390881,
393185,
400025,
400250,
416225,
500002,
646625,
655625,
781378,
794050,
800125,
801250,
909250,
1000001,
1000010,
1250008,
1358125,
1562564,
1600625,
1606250,
1953637,
1958245,
2000005,
2004325,
2465125,
2500004,
2950625,
3125032,
3203125,
3906506,
3908810,
4000025,
4000250,
4162250,
5000002,
6415625,
6556250,
7073125,
7812628,
8000125,
8001250,
9766649,
9775865,
9868025.