First numbers that belong to both sets:
1,
9,
81,
441,
729,
1089,
2025,
5625,
7569,
8649,
9801,
11025,
15129,
18225,
23409,
31329,
35721,
40401,
47961,
56169,
65025,
74529,
81225,
88209,
103041,
106929,
123201,
127449,
140625,
149769,
154449,
159201,
164025,
173889,
178929,
184041,
194481,
233289,
239121,
269361,
288369,
308025,
342225,
356409,
385641,
400689,
431649,
480249,
488601,
497025,
540225,
576081,
585225,
613089,
660969,
670761,
700569,
720801,
783225,
804609,
904401,
927369,
986049,
1022121,
1034289,
1134225,
1199025,
1252161,
1279161,
1334025,
1361889,
1390041,
1418481,
1520289,
1625625,
1671849,
1687401,
1718721,
1766241,
1814409,
1846881,
1896129,
1912689,
1946025,
1979649,
2013561,
2030625,
2047761,
2082249,
2169729,
2277081,
2295225,
2387025,
2424249,
2576025,
2692881,
2712609,
2752281,
2832489,
3038049,
3059001,
3101121,
3164841,
3207681,
3493161,
3560769,
3583449,
3651921,
3697929,
3837681,
4028049,
4100625,
4173849,
4297329,
4347225,
4372281,
4549689,
4601025,
4626801,
4652649,
4730625,
4888521,
5076009,
5239521,
5349969,
5433561,
5461569,
5602689,
5919489,
6007401,
6066369,
6456681,
6487209,
6610041,
6671889,
6796449,
7080921,
7177041,
7306209,
7436529,
7568001,
7700625,
7733961,
7901721,
8003241,
8311689,
8415801,
8590761,
9054081,
9235521,
9418761,
9566649,
9678321,
10017225,
10055241,
10284849,
10439361,
10478169,
10595025,
10870209,
11029041,
11309769,
11471769,
11553201,
11634921,
11840481,
11923209,
12006225,
12173121,
12215025,
12257001,
12552849,
12766329,
12895281,
12938409,
13155129,
13373649,
13995081,
14356521,
14402025,
14447601,
14630625,
14676561,
14814801,
14907321,
15093225,
15186609,
15657849,
15752961,
15848361,
15992001,
16040025,
16475481,
16524225,
16573041,
16670889,
16769025,
17015625,
17114769,
17214201,
17514225,
17564481,
18071001,
18429849,
18584721,
19158129,
19263321,
19847025,
19900521,
19954089,
20115225,
20223009,
20439441,
20930625,
21040569,
21316689,
21594609,
21762225,
22325625,
22496049,
22838841,
23242041,
23299929,
23882769,
24117921,
24235929,
24295041,
24710841,
24770529,
24890121,
24950025,
25070049,
25250625,
25492401,
25553025,
25796241,
25918281,
26224641,
26471025,
26594649,
26780625,
26904969,
26967249,
27217089,
27405225,
27657081,
28227969,
28483569,
29062881,
29192409,
29322225,
29582721,
29713401,
30107169,
30437289,
30835809,
31979025,
32251041,
32867289,
33281361,
33489369,
33977241,
34047225,
34468641,
34821801,
35247969,
35533521,
35964009,
36036009,
36180225,
36397089,
36614601,
36759969,
36832761,
36905625,
37197801,
37344321,
37564641,
38452401,
38750625.
Some larger examples :
186896241,
187553025,
188705169,
189035001,
189200025,
189530289,
190026225,
191020041,
191185929,
191517921,
192016449,
192182769,
192848769,
193182201,
194017041,
195692121,
197374401,
197711721,
197880489,
198218241.