First numbers that belong to both sets:
9,
25,
36,
49,
72,
81,
100,
121,
144,
196,
200,
288,
289,
324,
361,
392,
400,
484,
529,
576,
625,
648,
675,
784,
800,
841,
961,
968,
1089,
1125,
1152,
1156,
1225,
1296,
1444,
1521,
1568,
1600,
1681,
1849,
1936,
2116,
2187,
2197,
2304,
2312,
2401,
2500,
2592,
2601,
2700,
2888,
3025,
3136,
3200,
3364,
3481,
3844,
3872,
4225,
4232,
4356,
4489,
4500,
4563,
4608,
4624,
4900,
5000,
5041,
5184,
5400,
5776,
5929,
6084,
6241,
6272,
6400,
6724,
6728,
7225,
7396,
7569,
7688,
7744,
8281,
8464,
8712,
8748,
8788,
9000,
9025,
9216,
9248,
9409,
9604,
9800,
10000,
10368,
10404,
10609,
10800,
11552,
11907,
12100,
12168,
12544,
12769,
12800,
13448,
13456,
13924,
14641,
14792,
15376,
15488,
15625,
16129,
16641,
16807,
16900,
16928,
17161,
17424,
17496,
17576,
17956,
18000,
18225,
18252,
18432,
18496,
19208,
19600,
20000,
20164,
20736,
20808,
21025,
21600,
21609,
23104,
23716,
24200,
24336,
24649,
24964,
25088,
25600,
26896,
26912,
27848,
28125,
28900,
29584,
30276,
30752,
30976,
32761,
33124,
33800,
33856,
34225,
34848,
34992,
35152,
35721,
35912,
36000,
36100,
36504,
36864,
36992,
37249,
37636,
38416,
39200,
40000,
40328,
41067,
41472,
41616,
42436,
42875,
43200,
43681,
46208,
46225,
47089,
47432,
47628,
48400,
48672,
49729,
49928,
50176,
50625,
51076,
51200,
51529,
53361,
53792,
53824,
55225,
55696,
57800,
58564,
59168,
59643,
60552,
61504,
61952,
62500,
64516,
65219,
66049,
66248,
66564,
67081,
67228,
67600,
67712,
68644,
69169,
69696,
69984,
70227,
70304,
71824,
72000,
72200,
72900,
73008,
73728,
73984,
75272,
76832,
77175,
77841,
78400,
80000,
80656,
82944,
83232,
84100,
84872,
86400,
86436,
88209,
91125,
92416,
94249,
94864,
95256,
95481,
96800,
97344,
97969,
98596,
99856,
100352,
101761,
102152,
102400,
107584,
107648,
107653,
109503,
111392,
112500,
115600,
117128,
118336,
120125,
121104,
121203,
121801,
123008,
123201,
123904.
Some larger examples :
9815689,
9817443,
9826000,
9828225,
9834496,
9847044,
9853321,
9865881,
9870125,
9878400,
9891025,
9909904,
9916201,
9922500,
9945800,
9947716,
9963648,
9991921,
9998244,
9999392.