First numbers that belong to both sets:
9,
16,
25,
49,
1521,
2601,
3249,
8281,
8464,
9801,
24025,
43681,
244036,
5612161,
6599761,
8305924,
14760964,
33005025,
229310449,
234579856,
410953984,
470499481,
1195292329,
1302415921,
1333637361,
1337072356,
1641546256,
1642113529,
1700490169,
1757454084,
1780418025,
1940138209,
2738114929,
4264612416,
6842267524,
7198334649,
10330283044,
11041596241,
11598213025,
12612413025,
22115556369,
24445635201,
24994661409,
32573391361,
34484861401,
41977863225,
51029906404,
56787843204,
61118222841,
64956168225,
68242680289,
84913377201,
106731583204,
109081575625,
111137557129,
122581213456,
133465278241,
144504138769,
144647105625,
174024968569,
192812322816,
198732290436,
228503120400,
233392373449,
252502230016,
283710696025,
290015637961,
324922800400,
341642588004,
350832320721,
373780613376,
426965537476,
476428496644,
487987470721,
596733075225,
648045930169,
662363216449,
687582590436,
690396471801,
704308671361,
737521981681,
821473947904,
996383276100.