First numbers that belong to both sets:
36,
100,
144,
196,
216,
324,
400,
576,
784,
900,
1000,
1296,
1600,
1728,
1764,
1936,
2304,
2500,
2704,
2744,
2916,
3136,
3600,
4356,
4624,
4900,
5184,
5776,
5832,
6084,
6400,
7056,
7744,
7776,
8000,
8100,
8464,
9216,
9604,
10000,
10404,
10648,
10816,
11025,
11664,
12100,
12544,
12996,
13456,
13824,
14400,
15376,
15876,
16900,
17424,
17576,
18496,
19044,
19600,
20736,
21952,
22500,
23104,
23716,
24336,
25600,
26244,
27000,
28224,
28900,
30276,
30976,
32400,
33124,
33856,
34596,
36100,
36864,
38416,
39204,
40000,
41616,
43264,
44100,
46656,
48400,
49284,
50176,
51984,
52900,
53824,
54756,
56644,
57600,
60516,
61504,
62500,
63504,
64000,
66564,
67600,
69696,
70756,
72900,
73984,
74088,
76176,
78400,
79524,
81796,
82944,
84100,
85184,
86436,
87616,
90000,
92416,
93636,
94864,
96100,
97344,
99225,
100000,
101124,
102400,
103684,
104976,
107584,
108900,
110592,
112896,
115600,
116964,
118336,
121104,
122500,
123904,
125000,
125316,
129600,
132496,
133956,
135424,
136900,
138384,
139876,
140608,
141376,
142884,
144400,
147456,
152100,
153664,
156816,
157464,
160000,
161604,
164836,
166464,
168100,
171396,
173056,
174724,
175616,
176400,
179776,
181476,
184900,
186624,
188356,
191844,
193600,
195364,
197136,
200704,
202500,
207936,
211600,
213444,
215296,
216000,
219024,
220900,
222784,
224676,
226576,
230400,
234256,
236196,
238144,
240100,
242064,
245025,
246016,
248004,
248832,
250000,
254016,
256036,
260100,
266256,
268324,
270400,
272484,
275625,
278784,
279936,
280900,
283024,
285156,
287296,
287496,
291600,
295936,
298116,
302500,
304704,
311364,
313600,
314432,
318096,
322624,
324900,
327184,
329476,
331776,
336400,
338724,
341056,
342225,
343000,
345744,
348100,
350464,
352836,
360000,
362404,
367236,
369664,
372100,
373248,
374544,
379456,
381924,
384400,
389376,
396900,
399424,
404496,
409600,
412164,
414736,
419904,
422500,
427716,
430336,
432964,
435600,
438976,
440896,
443556,
448900,
451584,
456976,
459684,
462400,
467856,
470596,
473344,
474552,
476100,
484416,
490000,
492804,
495616,
501264,
504100,
506944,
509796,
512000.
Some larger examples :
898704,
902500,
906304,
910116,
921600,
933156,
937024,
940900,
941192,
944784,
952576,
956484,
960400,
968256,
976144,
980100,
984064,
988036,
992016,
1000000.