First numbers that belong to both sets:
117855,
130816,
195625,
266085,
1062153,
1413721,
2392578,
2883601,
4884375,
9563751,
10077805,
11527201,
12708361,
13104640,
19478161,
19528125,
21526641,
23526370,
24231241,
33550336,
38259378,
44269345,
86086881,
103759215,
107186761,
108773875,
117190395,
122078125,
125476561,
147258541,
148841631,
175771875,
177049153,
186660181,
193720086,
296059611,
395521875,
407879641,
428703121,
488265625,
538100415,
564933691,
774821295.