First numbers that belong to both sets:
216,
1024,
2025,
4624,
4913,
5625,
7225,
10609,
11025,
13824,
17424,
18225,
19321,
21316,
21609,
23409,
23716,
24025,
27225,
28224,
30625,
34225,
35721,
38025,
41209,
42025,
44521,
47524,
50625,
53824,
57121,
59319,
60025,
61009,
65025,
68121,
70225,
71824,
81225,
87025,
91125,
93025,
114921,
119025,
120409,
130321,
133225,
140625,
148225,
156025,
163216,
164025,
178929,
180625,
192721,
205209,
216225,
219024,
225625,
232324,
238328,
239121,
245025,
246016,
248832,
255025,
256036,
265225,
273529,
274625,
277729,
283024,
308025,
314721,
319225,
332929,
342225,
354025,
366025,
403225,
408321,
416025,
429025,
446224,
465124,
469225,
483025,
493039,
505521,
511225,
515524,
540225,
555025,
570025,
616225,
622521,
632025,
669124,
677329,
703921,
714025,
731025,
741321,
748225,
769129,
788544,
790321,
851929,
859329,
874225,
879844,
912025,
913936,
923521,
931225,
954529,
964324,
988036,
1006009,
1010025,
1054729,
1065024,
1071225,
1092025,
1092727,
1110916,
1113025,
1134225,
1140624,
1159929,
1170724,
1191016,
1201216,
1221025,
1234321,
1281424,
1288225,
1295029,
1311025,
1334025,
1364224,
1367631,
1375929,
1390041,
1404225,
1404928,
1428025,
1430416,
1452025,
1468944,
1517824,
1525225,
1535121,
1547536,
1600225,
1607824,
1630729,
1651225,
1661521,
1674436,
1677025,
1700416,
1703025,
1729225,
1760929,
1852321,
1855044,
1879641,
1885129,
1896129,
1906624,
1918225,
1953125,
1974025,
2010724,
2024929,
2030625,
2111209,
2117025,
2119936,
2134521,
2146225,
2155024,
2169729,
2175625,
2181529,
2205225,
2217121,
2235025,
2241009,
2262016,
2265025,
2304324,
2347024,
2418025,
2449225,
2468041,
2486929,
2502724,
2544025,
2683044,
2706025,
2739025,
2803221,
2805625,
2819041,
2829124,
2951524,
3045025,
3048625,
3150625,
3157729,
3196944,
3305124,
3330625,
3337929,
3367225,
3404025,
3441025,
3444736,
3463321,
3508129,
3541924,
3632836,
3705625,
3713329,
3755844,
3783025,
3822025,
3849444,
3884841,
3892729,
3908529,
3976036,
4012009,
4020025,
4044121,
4072324,
4100625,
4129024,
4177936,
4182025,
4223025,
4297329,
4359744,
4431025,
4498641,
4507129,
4515625,
4545424,
4601025,
4721929,
4741632,
4813636,
4818025,
4866436,
4892944,
4906225,
4941729,
4968441,
5000211,
5040025,
5130225,
5153632,
5166529,
5184729,
5313025,
5317636,
5340721,
5414929,
5438224,
5545233,
5550736,
5607424,
5640625,
5650129,
5659641,
5735339,
5736025,
5788836.
Some larger examples :
96157636,
96275344,
96452041,
96786244,
96884649,
97140736,
97259044,
97436641,
97891236,
98128836,
98426241,
98585041,
98611128,
99102025,
99252847,
99580441,
99760144,
99840064,
99860049,
99880036.