First numbers that belong to both sets:
25,
121,
289,
625,
9025,
10201,
11025,
12321,
12769,
13225,
13689,
14641,
15625,
17689,
18225,
19321,
25921,
27889,
28561,
29929,
30625,
32761,
35721,
37249,
42025,
45369,
55225,
59049,
70225,
81225,
83521,
99225,
104329,
105625,
106929,
108241,
114921,
117649,
119025,
124609,
126025,
127449,
130321,
131769,
133225,
134689,
136161,
137641,
139129,
140625,
142129,
146689,
148225,
159201,
162409,
164025,
167281,
170569,
177241,
178929,
180625,
189225,
192721,
194481,
196249,
198025,
210681,
214369,
216225,
219961,
221841,
223729,
225625,
227529,
231361,
233289,
235225,
237169,
239121,
241081,
243049,
247009,
251001,
253009,
255025,
257049,
259081,
263169,
265225,
267289,
269361,
271441,
273529,
275625,
279841,
281961,
286225,
288369,
290521,
292681,
294849,
297025,
314721,
319225,
321489,
328329,
342225,
346921,
351649,
354025,
361201,
363609,
366025,
378225,
385641,
388129,
390625,
393129,
398161,
416025,
426409,
436921,
442225,
455625,
458329,
469225,
471969,
474721,
497025,
511225,
522729,
525625,
531441,
537289,
570025,
579121,
582169,
585225,
597529,
616225,
632025,
648025,
651249,
654481,
683929,
687241,
697225,
703921,
724201,
741321,
748225,
751689,
758641,
762129,
765625,
769129,
783225,
790321,
793881,
819025,
829921,
837225,
859329,
874225,
893025,
919681,
923521,
927369,
931225,
938961,
946729,
950625,
954529,
962361,
966289,
978121,
990025.