First numbers that belong to both sets:
1532487609,
2081549376,
3285697041,
3719048256,
3827401956,
5102673489,
8503421796,
8967143025,
9761835204,
10208475369,
10347568729,
14731890625,
15072963984,
16203507849,
17054792836,
17250983649,
17760359824,
19023581476,
25061739481,
25647381904,
26397150784,
27184095376,
27304918564,
27404815936,
27538074916,
27735904681,
28374054916,
29456170384,
30264517089,
30421987561,
30517294864,
31528974096,
31948702564,
34900217856,
39784690521,
40396578121,
41753200896,
44739018256,
45108237769,
45192807396,
47031295689,
47358029161,
49370618025,
49918730625,
51846379204,
52381476900,
54703128769,
58297136704,
67293548100,
68135094729,
69713425089,
69743528100,
70152938496,
71465328900,
71503829604,
74902931856,
75318960249,
75461738209,
76415203489,
81195362704,
84416397025,
87965034921,
91302478569,
91625473809,
91752044836,
94618375201,
95371027684,
96438197025.