First numbers that belong to both sets:
121,
225,
2025,
9025,
11025,
14641,
17689,
18225,
21025,
24025,
27225,
30625,
41209,
47089,
101761,
104329,
116281,
119025,
140625,
164025,
184041,
189225,
190969,
207025,
216225,
225625,
235225,
243049,
245025,
255025,
265225,
275625,
286225,
297025,
346921,
354025,
405769,
416025,
455625,
480249,
497025,
499849,
511225,
588289,
731025,
783225,
826281,
874225,
915849,
1002001,
1010025,
1014049,
1071225,
1134225,
1172889,
1185921,
1199025,
1234321,
1265625,
1334025,
1404225,
1432809,
1437601,
1476225,
1490841,
1550025,
1620529,
1625625,
1703025,
1713481,
1771561,
1782225,
1863225,
1923769,
1946025,
2002225,
2030625,
2059225,
2088025,
2099601,
2117025,
2146225,
2175625,
2205225,
2223081,
2235025,
2265025,
2295225,
2325625,
2356225,
2362369,
2387025,
2418025,
2449225,
2480625,
2512225,
2544025,
2576025,
2608225,
2640625,
2673225,
2706025,
2732409,
2739025,
2752281,
2772225,
2805625,
2839225,
2873025,
2893401,
2907025,
2941225,
2975625,
3186225,
3345241,
3359889,
3441025,
3575881,
3705625,
3980025,
4036081,
4092529,
4100625,
4149369,
4223025,
4347225,
4372281,
4380649,
4439449,
4473225,
4601025,
4678569,
4730625,
4739329,
4862025,
4986289,
4995225,
5085025,
5593225,
6255001,
6426225,
6517809,
7049025,
7209225,
7371225,
7535025,
7667361,
7700625,
7868025,
8242641,
8346321,
8625969,
8767521,
8850625,
8874441,
9018009,
9828225,
10017225,
10067929,
10106041,
10208025,
10246401,
10400625,
10595025,
10791225,
10804369,
10817521,
10962721,
10989225,
11189025,
11309769,
11390625,
11553201,
11594025,
11703241,
11799225,
12006225,
12089529,
12215025,
12313081,
12425625,
12467961,
12623809,
12638025,
12852225,
13068225,
13097161,
13256881,
13286025,
13446889,
13505625,
13727025,
13905441,
13950225,
14010049,
14070001,
14175225,
14402025,
14630625,
14737921,
14861025,
14876449,
14907321,
15093225,
15327225,
15468489,
15563025,
15594601,
15768841,
15800625,
16040025,
16281225,
16378209,
16475481,
16524225,
16654561,
16769025,
16999129,
17015625,
17264025,
17380561,
17514225,
17564481,
17766225,
17952169,
18020025,
18275625,
18309841,
18498601,
18533025,
18601969,
18792225,
19053225,
19263321,
19316025,
19456921,
19580625,
19598329,
19847025,
20025625,
20115225,
20205025,
20295025,
20385225,
20475625,
20566225,
20657025,
20729809,
20748025,
20839225,
20930625,
21022225,
21114025,
21150801,
21206025,
21298225,
21390625,
21483225,
21538881,
21576025,
21669025,
21762225,
21855625,
21949225,
22043025,
22137025,
22231225,
22325625,
22344529,
22420225,
22515025,
22610025,
22705225,
22800625,
22896225,
22992025,
23088025,
23126481,
23184225,
23280625.
Some larger examples :
99090855369,
99132411609,
99177755625,
99194132401,
99297463225,
99298723689,
99340323489,
99417243025,
99506809809,
99537095025,
99548453169,
99653231041,
99657019225,
99715113729,
99756800649,
99768171321,
99777015625,
99897084225,
99923635449,
99965365929.