First numbers that belong to both sets:
1,
9,
81,
225,
441,
1521,
2025,
2401,
2601,
3969,
4225,
11025,
12321,
13689,
40401,
42849,
59049,
62001,
75625,
77841,
88209,
99225,
103041,
104329,
110889,
123201,
194481,
198025,
227529,
251001,
263169,
281961,
286225,
297025,
301401,
321489,
363609,
385641,
390625,
431649,
442225,
455625,
480249,
508369,
525625,
558009,
585225,
613089,
648025,
664225,
670761,
700569,
762129,
819025,
826281,
893025,
962361,
970225,
990025,
998001,
1010025,
1014049,
1022121,
1034289,
1092025,
1108809,
1155625,
1177225,
1185921,
1212201,
1221025,
1225449,
1265625,
1306449,
1320201,
1347921,
1357225,
1380625,
1432809,
1476225,
1520289,
1575025,
1750329,
1809025,
1836025,
1946025,
2047761,
2059225,
2088025,
2099601,
2152089,
2259009,
2325625,
2356225,
2368521,
2424249,
2480625,
2595321,
2608225,
2640625,
2653641,
2712609,
2772225,
2893401,
2907025,
2941225,
3017169,
3101121,
3143529,
3207681,
3258025,
3272481,
3538161,
3553225,
3591025,
3744225,
3814209,
3900625,
3940225,
3956121,
4004001,
4028049,
4247721,
4264225,
4305625,
4313929,
4473225,
4626801,
4644025,
4704561,
4862025,
5085025,
5267025,
5433561,
5452225,
5517801,
5697769,
5861241,
6125625,
6215049,
6325225,
6765201,
6943225,
7049025,
7241481,
7263025,
7317025,
7535025,
7812025,
7834401,
8037225,
8242641,
8323225,
8346321,
8673025,
9090225,
9308601,
9333025,
9641025,
9878449,
9966649,
10093329,
10195249,
10310521,
10323369,
10439361,
10465225,
10791225,
10843849,
11055625,
11148921,
11336689,
11390625,
11512449,
11634921,
11662225,
11730625,
11758041,
12131289,
12285025,
12355225,
12383361,
12510369,
12638025,
12924025,
13024881,
13155129,
13286025,
13653025,
13682601,
13950225,
14010049,
14085009,
14250625,
14326225,
14356521,
14630625,
14907321,
15015625,
15046641,
15327225,
15642025,
15673681,
15721225,
16265089,
16362025,
16443025,
16491721,
17065161,
17181025,
17514225,
18122049,
18740241,
18861649,
19053225,
19404025,
19509889,
20007729,
20169081,
20295025,
20657025,
21483225,
21650409,
21818241,
22325625,
22667121,
22705225,
22800625,
23184225,
23571025,
23707161,
24000201,
24059025,
24413481,
24453025,
24552025,
24950025,
25010001,
25130169,
25310961,
25351225,
25452025,
25492401,
26040609,
26122321,
26183689,
26224641,
26409321,
26512201,
26759929,
26801329,
27154521,
27300625,
27342441,
27531009,
27720225,
28143025,
28783225,
28998225,
29106025,
29214025,
29430625,
29975625,
30085225,
30151081,
30195025,
30636225,
31080625,
31192225,
31236921,
31640625,
32046921,
32092225,
32205625,
32661225,
32890225,
33235225,
33281361,
34117281,
34164025.
Some larger examples :
9911198025,
9917172225,
9923148225,
9929126025,
9931916281,
9935105625,
9941087025,
9947070225,
9953055225,
9957046225,
9959042025,
9959840401,
9962634969,
9965030625,
9977013225,
9982207921,
9983007225,
9985005625,
9989003025,
9995000625.