First numbers that belong to both sets:
1,
4,
16,
25,
49,
64,
81,
100,
121,
196,
256,
289,
324,
361,
400,
484,
529,
625,
784,
841,
961,
1024,
1089,
1156,
1225,
1296,
1444,
1521,
1600,
1681,
1849,
1936,
2116,
2401,
2500,
2601,
3025,
3136,
3364,
3481,
3844,
4096,
4225,
4356,
4489,
4624,
4900,
5041,
5184,
5625,
5776,
5929,
6084,
6241,
6400,
6724,
7225,
7396,
7569,
7744,
7921,
8281,
8464,
9025,
9409,
9604,
10000,
10201,
10404,
10609,
12100,
12544,
12769,
13456,
13689,
13924,
14641,
15376,
15625,
16129,
16384,
16641,
16900,
17161,
17424,
17956,
18225,
18496,
19321,
19600,
20164,
20449,
20736,
21025,
21609,
22201,
22500,
23104,
23409,
23716,
24336,
24649,
24964,
25600,
26569,
26896,
27889,
28561,
28900,
29584,
29929,
30276,
30625,
30976,
31684,
32041,
32761,
33124,
33856,
34225,
35721,
36100,
37249,
37636,
38416,
38809,
40000,
40401,
40804,
41616,
42436,
43681,
46225,
47089,
48400,
49729,
50176,
50625,
51076,
51529,
52441,
53361,
53824,
54756,
55225,
55696,
57121,
58564,
59049,
61009,
61504,
62500,
63001,
64516,
65536,
66049,
66564,
67081,
67600,
68644,
69169,
69696,
71289,
71824,
72900,
73441,
73984,
75625,
77284,
77841,
78400,
80089,
80656,
81225,
81796,
82944,
84100,
86436,
88209,
88804,
90000,
90601,
92416,
93025,
93636,
94249,
94864,
95481,
97344,
97969,
98596,
99856,
101761,
102400,
104329,
105625,
106276,
107584,
108241,
111556,
112225,
114244,
115600,
116281,
117649,
118336,
119025,
119716,
121104,
121801,
122500,
123201,
123904,
124609,
126025,
126736,
127449,
128164,
131044,
131769,
132496,
135424,
136900,
139129,
140625,
142884,
143641,
144400,
146689,
148225,
148996,
150544,
151321,
153664,
154449,
155236,
156025,
160000,
160801,
161604,
163216,
164025,
165649,
166464,
167281,
169744,
174724,
177241,
178929,
180625,
184041,
184900,
185761,
187489,
188356,
189225,
192721,
193600,
198025,
198916,
200704,
201601,
202500,
204304,
206116,
208849,
209764,
213444,
215296,
218089,
219024,
219961,
220900,
222784,
223729,
228484,
229441,
231361,
234256,
235225.
Some larger examples :
998117649,
998180836,
998496801,
998560000,
998623201,
998686404,
998812816,
998876025,
998939236,
999002449,
999065664,
999128881,
999318544,
999381769,
999508225,
999571456,
999634689,
999761161,
999887641,
999950884.