First numbers that belong to both sets:
130816,
195625,
1413721,
1469755,
2883601,
10077805,
11527201,
12708361,
13104640,
19478161,
19534375,
23526370,
24231241,
33550336,
44269345,
103313125,
107186761,
108773875,
122078125,
125476561,
147258541,
177049153,
186660181,
239246875,
407879641,
428703121,
488265625,
564933691,
957053125.