First numbers that belong to both sets:
1,
9,
81,
125,
441,
729,
1089,
1125,
2025,
5625,
6125,
7569,
8649,
9261,
9801,
11025,
15129,
18225,
23409,
24389,
31329,
35721,
36125,
40401,
47961,
55125,
56169,
65025,
74529,
81225,
88209,
103041,
106929,
123201,
127449,
140625,
149769,
154449,
159201,
164025,
173889,
178929,
184041,
185193,
190125,
194481,
233289,
239121,
253125,
269361,
288369,
308025,
342225,
356409,
378125,
385641,
400689,
431649,
456533,
480249,
488601,
494325,
497025,
540225,
576081,
585225,
594473,
613089,
660969,
666125,
670761,
700569,
720801,
750141,
783225,
804609,
861125,
903125,
904401,
927369,
986049,
1022121,
1034289,
1105425,
1120581,
1128125,
1134225,
1195061,
1199025,
1252161,
1279161,
1334025,
1361889,
1390041,
1418481,
1520289,
1540125,
1596125,
1625625,
1671849,
1687401,
1718721,
1766241,
1814409,
1846881,
1896129,
1912689,
1946025,
1979649,
2013561,
2030625,
2042829,
2047761,
2082249,
2083725,
2169729,
2277081,
2295225,
2346125,
2387025,
2424249,
2576025,
2692881,
2712609,
2752281,
2832489,
2926125,
2951069,
2956581,
3003125,
3038049,
3059001,
3101121,
3164841,
3207681,
3240125,
3307949,
3403125,
3493161,
3560769,
3570125,
3583449,
3651921,
3697929,
3837681,
4005125,
4028049,
4100625,
4102893,
4131833,
4173849,
4297329,
4347225,
4372281,
4492125,
4549689,
4601025,
4626801,
4652649,
4730625,
4888521,
4950125,
5076009,
5239521,
5349969,
5433561,
5461569,
5602689,
5919489,
6007401,
6018425,
6066369,
6328125,
6331625,
6441125,
6456681,
6487209,
6610041,
6671889,
6796449,
6865625,
7048421,
7080921,
7177041,
7294973,
7306209,
7436529,
7568001,
7645373,
7700625,
7733961,
7901721,
8003241,
8085825,
8258753,
8311689,
8415801,
8590761,
8778125,
9054081,
9235521,
9418761,
9566649,
9678321,
9870125,
10017225,
10055241,
10284849,
10385793,
10418625,
10439361,
10478169,
10585125,
10595025,
10731125,
10793861,
10870209,
11029041,
11309769,
11344725,
11471769,
11553201,
11628125,
11634921,
11647649,
11781125,
11840481,
11923209,
12006225,
12090125,
12173121,
12215025,
12257001,
12403125,
12552849,
12766329,
12895281,
12938409,
13155129,
13312053,
13373649,
13456625,
13995081,
14356521,
14402025,
14447601,
14630625,
14676561,
14814801,
14861825,
14907321,
15000633,
15093225,
15186609,
15243125,
15400125,
15438249,
15657849,
15752961,
15848361,
15931125,
15992001,
16040025,
16096941,
16471125,
16475481,
16524225,
16573041,
16670889,
16769025,
16836125,
17015625,
17114769,
17214201,
17514225,
17564481,
18071001,
18429849,
18584721,
19110125.
Some larger examples :
189530289,
190026225,
190653125,
191020041,
191134325,
191185929,
191517921,
192016449,
192182769,
192848769,
193182201,
194017041,
194376125,
194712525,
195692121,
197374401,
197506125,
197711721,
197880489,
198218241.