First numbers that belong to both sets:
9,
25,
36,
49,
81,
100,
121,
144,
196,
289,
324,
361,
400,
484,
529,
576,
625,
784,
841,
961,
1089,
1156,
1225,
1296,
1444,
1521,
1600,
1681,
1849,
1936,
2116,
2304,
2401,
2500,
2601,
3025,
3136,
3364,
3481,
3844,
4225,
4356,
4489,
4624,
4900,
5041,
5184,
5776,
5929,
6084,
6241,
6400,
6724,
7225,
7396,
7569,
7744,
8281,
8464,
9025,
9216,
9409,
9604,
10000,
10404,
10609,
12100,
12544,
12769,
13456,
13924,
14641,
15376,
15625,
16129,
16641,
16900,
17161,
17424,
17956,
18225,
18496,
19600,
20164,
20736,
21025,
21609,
23104,
23716,
24336,
24649,
24964,
25600,
26896,
28900,
29584,
30276,
30976,
32761,
33124,
33856,
34225,
35721,
36100,
36864,
37249,
37636,
38416,
40000,
41616,
42436,
43681,
46225,
47089,
48400,
49729,
50176,
50625,
51076,
51529,
53361,
53824,
55225,
55696,
58564,
61504,
62500,
64516,
66049,
66564,
67081,
67600,
68644,
69169,
69696,
71824,
72900,
73984,
77841,
78400,
80656,
82944,
84100,
86436,
88209,
92416,
94249,
94864,
95481,
97344,
97969,
98596,
99856,
101761,
102400,
107584,
115600,
118336,
121104,
121801,
123201,
123904,
127449,
131044,
131769,
132496,
135424,
136900,
139129,
140625,
142884,
143641,
144400,
146689,
147456,
148225,
148996,
150544,
153664,
160000,
160801,
164025,
165649,
166464,
169744,
174724,
178929,
180625,
184041,
184900,
188356,
193600,
198025,
198916,
200704,
201601,
202500,
204304,
206116,
208849,
213444,
215296,
218089,
219961,
220900,
222784,
223729,
229441,
234256,
235225,
237169,
243049,
246016,
250000,
251001,
258064,
263169,
264196,
265225,
266256,
268324,
269361,
270400,
274576,
276676,
278784,
287296,
290521,
291600,
294849,
295936,
297025,
299209,
311364,
312481,
313600,
319225,
321489,
322624,
326041,
330625,
331776,
336400,
339889,
345744,
352836,
354025,
369664,
375769,
376996,
379456,
381924,
383161,
389376,
391876,
394384,
399424,
405769,
407044,
409600,
423801,
430336,
436921,
442225,
444889,
450241,
458329,
462400,
466489,
473344,
474721,
480249,
484416,
485809,
487204,
488601,
491401,
492804,
495616,
509796.
Some larger examples :
9672100,
9690769,
9703225,
9746884,
9765625,
9771876,
9790641,
9815689,
9828225,
9834496,
9847044,
9853321,
9865881,
9891025,
9909904,
9916201,
9922500,
9947716,
9991921,
9998244.