First numbers that belong to both sets:
9,
25,
49,
81,
121,
289,
361,
529,
625,
841,
961,
1089,
1225,
1521,
1681,
1849,
2401,
2601,
3025,
3481,
4225,
4489,
5041,
5929,
6241,
7225,
7569,
8281,
9025,
9409,
10609,
12769,
14641,
15625,
16129,
16641,
17161,
18225,
21025,
21609,
24649,
32761,
34225,
35721,
37249,
43681,
46225,
47089,
49729,
50625,
51529,
53361,
55225,
66049,
67081,
69169,
77841,
88209,
94249,
95481,
97969,
101761,
121801,
123201,
127449,
131769,
139129,
140625,
143641,
146689,
148225,
160801,
164025,
165649,
178929,
180625,
184041,
198025,
201601,
208849,
218089,
219961,
223729,
229441,
235225,
237169,
243049,
251001,
263169,
265225,
269361,
290521,
294849,
297025,
299209,
312481,
319225,
321489,
326041,
330625,
339889,
354025,
375769,
383161,
405769,
423801,
436921,
442225,
444889,
450241,
458329,
466489,
474721,
480249,
485809,
488601,
491401,
511225,
516961,
525625,
528529,
543169,
555025,
591361,
619369,
625681,
638401,
644809,
648025,
654481,
664225,
690561,
720801,
734449,
755161,
758641,
765625,
776161,
801025,
804609,
822649,
826281,
840889,
848241,
866761,
881721,
904401,
908209,
931225,
938961,
962361,
970225,
974169,
982081,
990025,
1006009,
1014049,
1022121,
1030225,
1038361,
1050625,
1054729,
1062961,
1104601,
1113025,
1142761,
1172889,
1177225,
1181569,
1207801,
1216609,
1225449,
1243225,
1261129,
1265625,
1283689,
1306449,
1320201,
1352569,
1357225,
1361889,
1371241,
1380625,
1418481,
1428025,
1432809,
1437601,
1442401,
1452025,
1456849,
1461681,
1471369,
1495729,
1535121,
1555009,
1565001,
1575025,
1580049,
1666681,
1677025,
1692601,
1703025,
1734489,
1776889,
1782225,
1787569,
1792921,
1814409,
1819801,
1825201,
1836025,
1857769,
1874161,
1885129,
1912689,
1923769,
1929321,
1940449,
1957201,
1962801,
1974025,
1996569,
2002225,
2007889,
2024929,
2036329,
2047761,
2053489,
2070721,
2076481,
2082249,
2122849,
2163841,
2211169,
2223081,
2277081,
2283121,
2301289,
2325625,
2362369,
2418025,
2436721,
2442969,
2461761,
2480625,
2486929,
2499561,
2518569,
2531281,
2537649,
2544025,
2550409,
2569609,
2582449,
2608225,
2686321,
2719201,
2739025,
2745649,
2792241,
2798929,
2832489,
2845969,
2879809,
2907025,
2927521,
2954961,
2961841,
2968729,
2989441,
2996361,
3003289,
3059001,
3094081,
3101121,
3108169,
3150625,
3171961,
3179089,
3214849.
Some larger examples :
9345249,
9357481,
9394225,
9418761,
9443329,
9554281,
9591409,
9603801,
9653449,
9690769,
9703225,
9765625,
9790641,
9815689,
9828225,
9853321,
9865881,
9891025,
9916201,
9991921.