First numbers that belong to both sets:
7,
11,
20,
29,
65,
70,
101,
110,
133,
205,
254,
425,
502,
641,
785,
1001,
1330,
2005,
2225,
2540,
3157,
3445,
4025,
5020,
6325,
6500,
7000,
10001,
10010,
12508,
12580,
15689,
16265,
16625,
20005,
20500,
22025,
25004,
25400,
31570,
35125,
40025,
40250,
50002,
50020,
62516,
62660,
63250,
78253,
78500,
79405,
79625,
80125,
100001,
133000,
166250,
200000,
200005,
200500,
206125,
222500,
250004,
250040,
312532,
312820,
315700,
344500,
390881,
393185,
400025,
416225,
500020,
625016,
646625,
655625,
700000,
800125,
1000001,
1000010,
1001000,
1100000,
1250008,
1250800,
1562564,
1563140,
1626500,
1662500,
1953637,
1958245,
2000005,
2000500,
2465125,
2500004,
2500400,
3125320,
3157000,
3203125,
3231250,
3512500,
3931850,
4000025,
4025000,
5000002,
5000020,
5000200,
6251600,
6325000,
6415625,
6466250,
7813780,
7940500,
7962500,
8000125,
8012500,
9766649,
9775865,
9868025.