First numbers that belong to both sets:
361,
1600,
2401,
2500,
33124,
39601,
81225,
102400,
130321,
143641,
160000,
161604,
207025,
250000,
283024,
308025,
546121,
731025,
1147041,
1201216,
2030625,
2050624,
2223081,
2340900,
2528100,
2592100,
3052009,
3493161,
3996001,
4161600,
4631104,
4831204,
6022116,
6245001,
6260004,
6502500,
7128900,
7300804,
8910225,
10042561,
10240000,
10621081,
12355225,
13764100,
16000000,
16232841,
17056900,
20025625,
20151121,
20304036,
20421361,
20711601,
20720704,
21068100,
21206025,
22052416,
22934521,
24512401,
24700900,
25000000,
25040016,
28515600,
30195025,
30206016,
30239001,
31047184,
32319225,
32364721,
33200644,
33663204,
33756100,
34234201,
34445161,
34928100,
35462025,
36048016,
36216324,
38812900,
40832100,
41216400,
42003361,
42016324,
44609041,
45024100,
45630025,
50353216,
53363025,
53436100,
56085121,
56310016,
60000516,
60372900,
63202500,
63680400,
64240225,
65124900,
70375321,
72131049,
72216004,
75516100,
80192025,
81036004,
84621601,
90611361,
90630400,
91011600.