First numbers that belong to both sets:
9,
49,
169,
225,
625,
841,
961,
3249,
3721,
3969,
7225,
8649,
10609,
11881,
12321,
12769,
14641,
15625,
16129,
17689,
29241,
38025,
39601,
41209,
42849,
45369,
58081,
62001,
64009,
65025,
151321,
154449,
156025,
167281,
177241,
185761,
187489,
189225,
192721,
231361,
247009,
255025,
259081,
261121,
314721,
531441,
561001,
609961,
613089,
622521,
632025,
660969,
667489,
674041,
677329,
687241,
707281,
714025,
717409,
724201,
727609,
731025,
744769,
748225,
751689,
829921,
837225,
877969,
885481,
946729,
986049,
1018081,
1034289,
1042441,
1046529,
2211169,
2283121,
2301289,
2418025,
2436721,
2442969,
2486929,
2499561,
2518569,
2537649,
2544025,
2550409,
2569609,
2608225,
2739025,
2745649,
2792241,
2798929,
2832489,
2845969,
2879809,
2907025,
2927521,
2954961,
2961841,
2968729,
2989441,
2996361,
3094081,
3101121,
3171961,
3265249,
3323329,
3345241,
3367225,
3381921,
3396649,
3426201,
3463321,
3493161,
3500641,
3508129,
3523129,
3545689,
3568321,
3598609,
3613801,
3721041,
3775249,
3822025,
3829849,
3900625,
3940225,
4068289,
4133089,
4165681,
4182025,
4190209,
4372281,
4447881,
4977361,
5368489,
5470921,
5832225,
5987809,
6007401,
6017209,
6245001,
6325225,
6335289,
6507601,
6796449,
7017201,
7027801,
7049025,
7080921,
7382089,
7568001,
7834401,
7868025,
8014561,
8071281,
8196769,
8277129,
8381025,
8415801,
8427409,
8508889,
8543929,
8579041,
8625969,
8649481,
8684809,
8720209,
8732025,
8743849,
8838729,
8862529,
8874441,
8898289,
8910225,
8970025,
8982009,
9006001,
9102289,
9114361,
9138529,
9162729,
9223369,
9235521,
9284209,
9320809,
9345249,
9394225,
9492561,
9616201,
9628609,
9778129,
9803161,
9878449,
9916201,
9941409,
10004569,
10017225,
10029889,
10055241,
10080625,
10106041,
10118761,
10144225,
10208025,
10220809,
10323369,
10349089,
10361961,
10400625,
10439361,
10543009,
10647169,
10686361,
10725625,
10738729,
10909809,
10949481,
11042329,
11055625,
11108889,
11122225,
11135569,
11189025,
11242609,
11256025,
11444689,
11471769,
11512449,
11526025,
11539609,
11703241,
11785489,
11854249,
11881809,
11923209,
12006225,
12061729,
12089529,
12103441,
12201049,
12229009,
12243001,
12355225,
12383361,
12397441,
12411529,
12425625,
12581209,
12723489,
12766329,
12780625,
12909649,
12924025,
12938409,
12967201,
12981609,
12996025,
13198689,
13213225,
13242321,
13286025,
13300609,
13329801,
13417569,
13461561,
13682601,
13712209,
13727025,
13830961,
13935289,
13950225,
14010049,
14265729,
14280841,
14295961,
14386849,
14508481,
14554225.
Some larger examples :
191961025,
192071881,
192238225,
192682161,
194463025,
194518809,
194574601,
194742025,
194909521,
195132961,
195468361,
196252081,
196364169,
197374401,
197767969,
198387225,
198725409,
198894609,
199459129,
199967881.