First numbers that belong to both sets:
361,
529,
841,
1849,
2025,
2401,
2809,
3249,
3481,
3721,
3969,
4225,
4761,
5329,
5625,
6241,
6561,
6889,
7225,
7569,
7921,
8281,
8649,
9025,
9409,
9801,
10201,
10609,
11025,
11449,
11881,
12321,
12769,
13225,
13689,
14161,
14641,
15129,
15625,
16129,
16641,
17161,
17689,
18225,
18769,
19321,
19881,
20449,
21025,
21609,
22201,
22801,
23409,
24025,
24649,
25281,
25921,
26569,
27225,
27889,
28561,
29241,
29929.