First numbers that belong to both sets:
36,
100,
144,
324,
392,
400,
576,
784,
800,
900,
968,
1296,
1352,
1575,
1600,
1936,
2304,
2450,
2500,
2704,
2916,
3136,
3600,
3872,
4356,
4624,
5184,
5408,
5776,
6050,
6272,
6400,
7744,
8100,
8450,
8464,
9216,
9248,
10000,
10404,
10816,
11552,
11664,
12100,
12800,
13456,
14175,
14400,
15488,
16900,
16928,
17424,
18496,
19044,
19208,
19600,
20000,
20736,
21632,
22500,
23104,
25088,
25600,
26244,
26912,
28900,
30276,
30752,
30976,
32400,
33856,
36100,
36864,
38416,
39375,
40000,
41616,
43264,
43808,
46208,
46656,
48400,
50176,
52900,
53792,
53824,
57600,
58275,
59168,
60516,
61250,
61504,
62500,
66248,
67600,
67712,
67725,
69696,
70688,
72900,
73984,
76176,
78400,
79524,
81796,
82944,
84100,
86528,
87616,
89888,
90000,
92416,
93636,
96075,
96800,
101124,
102400,
104976,
105525,
107584,
107648,
108900,
111392,
113288,
114975,
115600,
117128,
118336,
119072,
120050,
121104,
123008,
123904,
125316,
127575,
129600,
132496,
135200,
135424,
136900,
139876,
141376,
144400,
147456,
147968,
151725,
153664,
160000,
162225,
163592,
166464,
168100,
171396,
173056,
175232,
179776,
181476,
184832,
184900,
186624,
193600,
195364,
200025,
200704,
202500,
204800,
211250,
211600,
215168,
215296,
220900,
222784,
226576,
228488,
230400,
231200,
234256,
236196,
236672,
236925,
237825,
238144,
242064,
246016,
247275,
247808,
248004,
250000,
256036,
256725,
260100,
270400,
270848,
272484,
278784,
279752,
280900,
282752,
285156,
287296,
288800,
291600,
295936,
303975,
304704,
307328,
318096,
320000,
322624,
327184,
329672,
331776,
332325,
336400,
341056,
345744,
348100,
350464,
352836,
354375,
359552,
360000,
367236,
369664,
372100,
374544,
376712,
379575,
390728,
399424,
401408,
404496,
409600,
412164,
414050,
419904,
422500,
423200,
426825,
430336,
430592,
435600,
436275,
440896,
445568,
445725,
448900,
455175,
456976,
459684,
462400,
468512,
473344,
476100,
476288,
484416,
488072,
490000,
492975,
495616,
500000,
501264,
504100,
506944,
512072,
518400,
521325,
524475,
527076,
529984,
530775,
532900,
540225,
544644,
547600,
559504,
562500,
565504,
574592,
577600.
Some larger examples :
930248,
937024,
940900,
941192,
944784,
946688,
949725,
952576,
956025,
960400,
965475,
968256,
974025,
976144,
984064,
984375,
991232,
992016,
993825,
1000000.