First numbers that belong to both sets:
9,
25,
49,
81,
121,
169,
225,
289,
361,
529,
625,
729,
841,
961,
1089,
1225,
1369,
1681,
1849,
2025,
2209,
2401,
2601,
2809,
3025,
3481,
3721,
4225,
4489,
4761,
5041,
5329,
5625,
6241,
6561,
6889,
7225,
7569,
7921,
8281,
9025,
9409,
10201,
10609,
11449,
11881,
12769,
13225,
14161,
14641,
15129,
15625,
16129,
17161,
18225,
18769,
19321,
19881,
20449,
21025,
21609,
22201,
22801,
23409,
24649,
25281,
26569,
27225,
27889,
28561,
29929,
30625,
31329,
32041,
32761,
34225,
34969,
36481,
37249,
38809,
39601,
41209,
42025,
42849,
44521,
45369,
46225,
47089,
48841,
49729,
50625,
51529,
52441,
54289,
55225,
57121,
58081,
59049,
60025,
61009,
62001,
63001,
64009,
65025,
66049,
68121,
69169,
70225,
71289,
72361,
73441,
76729,
78961,
80089,
82369,
83521,
85849,
87025,
88209,
89401,
90601,
91809,
93025,
94249,
96721,
97969,
100489,
101761,
103041,
104329,
105625,
108241,
109561,
112225,
113569,
114921,
116281,
117649,
119025,
120409,
121801,
124609,
126025,
128881,
130321,
131769,
133225,
134689,
136161,
139129,
140625,
143641,
146689,
151321,
152881,
154449,
156025,
157609,
160801,
162409,
164025,
165649,
167281,
168921,
170569,
172225,
175561,
177241,
178929,
180625,
182329,
185761,
187489,
189225,
190969,
192721,
194481,
196249,
198025,
199809,
201601,
203401,
207025,
208849,
210681,
212521,
214369,
218089,
223729,
225625,
227529,
229441,
231361,
235225,
237169,
241081,
243049,
247009,
249001,
251001,
253009,
255025,
259081,
261121,
265225,
267289,
269361,
271441,
273529,
277729,
279841,
281961,
284089,
286225,
288369,
292681,
297025,
299209,
303601,
310249,
312481,
314721,
316969,
319225,
323761,
326041,
328329,
330625,
332929,
337561,
339889,
344569,
346921,
349281,
351649,
354025,
358801,
361201,
368449,
373321,
375769,
378225,
380689,
383161,
385641,
388129,
390625,
395641,
398161,
403225,
405769,
408321,
410881,
413449,
418609,
421201,
426409,
429025,
434281,
436921,
444889,
450241,
452929,
455625,
458329,
461041,
463761,
466489,
469225,
474721,
477481,
483025,
485809,
488601,
491401,
494209,
497025,
499849,
502681,
508369.
Some larger examples :
9653449,
9665881,
9690769,
9703225,
9728161,
9740641,
9753129,
9765625,
9778129,
9803161,
9815689,
9840769,
9853321,
9878449,
9891025,
9903609,
9916201,
9928801,
9954025,
9991921.