First numbers that belong to both sets:
100,
121,
225,
400,
484,
900,
1296,
1600,
1764,
1936,
2025,
2304,
2500,
3600,
5184,
9025,
9216,
10000,
10816,
11025,
12100,
12544,
13456,
14400,
14641,
15376,
16900,
17689,
18225,
18496,
19600,
21025,
22500,
24025,
24336,
25600,
27225,
28224,
28900,
30276,
30625,
32400,
34596,
40000,
41209,
47089,
48400,
50176,
52900,
57600,
61504,
69696,
70756,
78400,
90000,
101761,
102400,
103684,
104329,
104976,
108900,
112896,
115600,
116281,
118336,
119025,
122500,
126736,
129600,
132496,
136900,
140625,
141376,
142884,
144400,
147456,
152100,
153664,
156816,
160000,
163216,
164025,
168100,
173056,
176400,
179776,
184041,
184900,
189225,
190096,
190969,
193600,
197136,
202500,
207025,
211600,
216225,
219024,
220900,
225625,
230400,
235225,
240100,
242064,
243049,
244036,
245025,
250000,
255025,
260100,
265225,
270400,
275625,
278784,
280900,
286225,
291600,
297025,
298116,
318096,
324900,
331776,
334084,
346921,
352836,
354025,
360000,
367236,
374544,
389376,
396900,
405769,
407044,
409600,
414736,
416025,
435600,
455625,
462400,
465124,
480249,
490000,
497025,
499849,
504100,
511225,
518400,
532900,
544644,
547600,
562500,
571536,
577600,
588289,
592900,
608400,
627264,
652864,
656100,
692224,
705600,
731025,
763876,
783225,
788544,
810000,
826281,
846400,
874225,
883600,
894916,
915849,
921600,
968256,
980100,
1000000,
1002001,
1008016,
1010025,
1014049,
1016064,
1020100,
1032256,
1040400,
1044484,
1048576,
1060900,
1071225,
1073296,
1081600,
1089936,
1102500,
1115136,
1123600,
1132096,
1134225,
1144900,
1157776,
1162084,
1166400,
1172889,
1175056,
1185921,
1188100,
1192464,
1199025,
1201216,
1210000,
1218816,
1232100,
1234321,
1245456,
1254400,
1263376,
1265625,
1276900,
1290496,
1299600,
1308736,
1317904,
1322500,
1334025,
1336336,
1345600,
1350244,
1354896,
1368900,
1382976,
1392400,
1401856,
1404225,
1416100,
1430416,
1432809,
1437601,
1440000,
1449616,
1464100,
1476225,
1478656,
1483524,
1488400,
1490841,
1498176,
1512900,
1517824,
1527696,
1537600,
1547536,
1550025,
1562500,
1577536,
1587600,
1597696,
1612900,
1620529,
1625625,
1628176,
1638400,
1648656,
1658944,
1664100,
1679616,
1690000,
1695204,
1700416,
1703025,
1713481,
1716100,
1731856,
1742400,
1752976,
1768900,
1771561,
1782225,
1784896,
1795600,
1806336,
1822500,
1838736.
Some larger examples :
99815556096,
99830721600,
99845888256,
99849680100,
99868640400,
99873696784,
99887602500,
99891395136,
99897084225,
99906566400,
99921738816,
99923635449,
99925532100,
99933118884,
99944499600,
99963468900,
99965365929,
99967262976,
99982440000,
99997618176.