First numbers that belong to both sets:
1,
9,
25,
49,
81,
121,
169,
225,
289,
361,
441,
529,
625,
729,
841,
961,
15000129,
19000881,
24000201,
34000561,
39000025,
77000625,
126000625,
251000649,
351000225,
392000401,
399000625,
401000625,
414000409,
659000241,
704000089,
828000625,
975000625,
976000081,
977000049,
978000529,
1044000721,
1061000329,
1097000641,
1268000881,
1283000761,
1375000561,
1598000625,
1602000625,
1900000921,
1928000281,
1988000569,
1998000601,
2263000041,
2379000625,
2406000601,
2417000569,
2606000401,
2624000625,
2878000609,
2928000321,
2966000521,
3240000241,
3356000761,
3597000625,
3603000625,
3761000929,
3808000681,
3830000769,
4040000721,
4282000969,
4730000625,
4814000689,
4880000449,
5073000625,
5131000161,
5388000409,
6336000801,
6396000625,
6404000625,
6604000225,
7320000249,
7881000625,
8247000969,
8322000625,
8784000729,
8787000121,
8790000025,
8793000441,
8938000681,
9995000625,
9997000225,
9999000025,
10001000025,
10003000225,
10005000625,
10127000689,
10361000521,
10443000481,
11288000025,
11832000625,
12371000625,
12424000369,
13586000481,
13700000209,
14098000225,
14394000625,
14406000625,
14468000089,
15296000329,
16079000809,
16583000625,
17220000625,
18862000921,
18950000281,
19363000801,
19593000625,
19607000625,
20367000369,
21644000161,
21992000209,
22134000625,
22405000489,
22869000625,
24405000841,
24410000169,
24415000009,
24420000361,
24606000769,
24782000929,
25592000625,
25608000625,
25969000201,
27106000321,
27259000609,
27335000889,
28485000625,
29318000625,
29427000849,
29616000649,
32151000249,
32391000625,
32409000625,
32857000225,
35636000625,
36567000625,
37541000025,
37662000489,
39990000625,
39994000225,
39998000025,
40002000025,
40006000225,
40010000625,
41125000849,
41543000041,
42537000025,
43587000625,
44616000625,
44687000449,
47066000809,
47838000961,
47845000225,
47852000001,
47859000289,
48389000625,
48411000625,
49561000129,
52338000625,
53465000625,
57588000625,
57612000625,
58041000889,
61568000641,
61889000625,
63114000625,
63439000641,
67124000889,
67587000625,
67613000625,
72240000625,
73563000625,
76938000129,
78386000625,
78414000625,
79092000289,
79101000001,
79110000225,
79119000961,
80119000809,
83294000449,
83391000625,
84812000625,
86292000025,
87722000041,
88332000849,
89985000625,
89991000225,
89997000025,
90003000025,
90009000225,
90015000625,
93595000489,
93786000025,
95342000625,
96861000625,
101592000225,
102384000625,
102416000625,
102844000249,
107523000649,
107884000849,
108093000625,
109710000625,
112002000889,
112156000609,
112467000321,
114820000201,
115583000625,
115617000625,
117359000929,
117743000769,
118151000361,
118162000009,
118173000169,
118184000841,
121644000625,
122722000489,
123359000625,
123695000209,
124525000161,
127654000369,
129582000625,
129618000625,
130212000801,
131291000281,
131523000921,
135995000625,
137808000625,
139276000809,
141619000329,
144185000089,
144381000625,
144419000625,
145363000225,
146653000209,
147027000481,
150961000369,
151146000625,
153057000625,
155043000025,
158252000481,
158572000521,
159494000689,
159980000625,
159988000225,
159996000025,
160004000025,
160012000225,
160020000625,
164397000681,
165022000441,
165035000025,
165048000121,
165061000729,
167097000625,
167434000969,
169106000625,
171763000249,
175339000225,
176379000625,
176421000625,
176737000801,
181985000409,
183500000161,
183848000625,
185023000449,
185431000689,
185955000625,
188845000969,
190479000721,
191943000769,
192099000681,
192434000929,
193578000625.
Some larger examples :
988372000561,
990226000201,
991301000881,
992269000129,
999938000961,
999942000841,
999946000729,
999950000625,
999954000529,
999958000441,
999962000361,
999966000289,
999970000225,
999974000169,
999978000121,
999982000081,
999986000049,
999990000025,
999994000009,
999998000001.