First numbers that belong to both sets:
9,
169,
225,
441,
729,
1369,
2025,
2209,
2809,
3249,
3721,
3969,
4761,
5329,
6561,
6889,
8649,
9801,
11025,
11449,
11881,
12321,
13225,
14161,
15129,
17689,
18769,
19881,
22801,
24025,
25281,
25921,
27225,
29241,
31329,
33489,
34969,
36481,
38025,
39601,
41209,
42025,
42849,
44521,
45369,
47961,
48841,
54289,
56169,
58081,
60025,
62001,
64009,
65025,
68121,
70225,
72361,
74529,
76729,
78961,
82369,
83521,
84681,
85849,
87025,
89401,
91809,
96721,
99225,
100489,
103041,
106929,
109561,
110889,
113569,
114921,
120409,
128881,
130321,
133225,
134689,
136161,
137641,
142129,
145161,
149769,
152881,
157609,
159201,
162409,
168921,
170569,
172225,
173889,
175561,
182329,
190969,
194481,
196249,
199809,
203401,
205209,
207025,
210681,
212521,
214369,
216225,
221841,
225625,
227529,
233289,
239121,
241081,
245025,
249001,
253009,
257049,
267289,
271441,
275625,
279841,
284089,
286225,
292681,
305809,
308025,
310249,
328329,
332929,
344569,
349281,
351649,
358801,
366025,
368449,
370881,
378225,
380689,
385641,
390625,
393129,
398161,
408321,
410881,
421201,
426409,
429025,
431649,
434281,
455625,
469225,
471969,
483025,
494209,
499849,
502681,
505521,
508369,
514089,
519841,
522729,
531441,
537289,
540225,
546121,
549081,
561001,
564001,
573049,
576081,
582169,
588289,
594441,
600625,
609961,
613089,
622521,
632025,
641601,
651249,
657721,
660969,
667489,
674041,
677329,
683929,
687241,
693889,
703921,
707281,
710649,
714025,
717409,
724201,
727609,
731025,
741321,
744769,
748225,
751689,
762129,
769129,
779689,
783225,
786769,
797449,
808201,
819025,
829921,
833569,
837225,
874225,
877969,
885481,
893025,
896809,
912025,
915849,
919681,
942841,
946729,
950625,
954529,
958441,
966289,
978121,
986049,
994009,
998001,
1010025,
1018081,
1026169,
1034289,
1042441,
1046529,
1058841,
1067089,
1075369,
1083681,
1092025,
1096209,
1108809,
1117249,
1125721,
1129969,
1138489,
1147041,
1151329,
1155625,
1159929,
1164241,
1168561,
1185921,
1190281,
1194649,
1199025,
1203409,
1212201,
1221025,
1234321,
1238769,
1270129,
1274641,
1279161,
1288225,
1292769,
1297321,
1301881,
1311025,
1315609,
1324801,
1329409,
1338649,
1343281,
1347921,
1375929,
1385329,
1390041,
1394761,
1399489.
Some larger examples :
993195225,
993951729,
994456225,
994834681,
994960849,
995087025,
995339401,
995844249,
995970481,
996222969,
996728041,
996980625,
997106929,
997359561,
997485889,
997738569,
998244025,
998370409,
998749609,
999255321.