First numbers that belong to both sets:
1,
9,
36,
225,
441,
625,
1089,
1521,
2025,
2601,
3249,
3600,
4761,
5625,
6561,
7569,
8100,
8649,
10000,
12321,
15129,
16641,
19881,
22500,
25281,
26244,
28224,
31329,
32400,
33489,
35721,
40401,
45369,
47961,
50625,
56169,
62001,
71289,
84681,
90000,
91809,
95481,
99225,
103041,
106929,
114921,
117649,
142884,
145161,
154449,
164025,
168921,
173889,
199809,
202500,
205209,
221841,
239121,
245025,
251001,
269361,
275625,
288369,
294849,
321489,
328329,
335241,
342225,
349281,
356409,
396900,
400689,
447561,
463761,
471969,
488601,
514089,
518400,
522729,
540225,
567009,
585225,
594441,
622521,
651249,
656100,
660969,
680625,
690561,
710649,
720801,
731025,
772641,
793881,
810000,
848241,
870489,
881721,
893025,
904401,
950625,
980100,
986049,
1022121,
1058841,
1071225,
1083681,
1096209,
1108809,
1115136,
1121481,
1159929,
1212201,
1252161,
1285956,
1292769,
1320201,
1361889,
1368900,
1418481,
1447209,
1500625,
1505529,
1580049,
1587600,
1595169,
1625625,
1671849,
1679616,
1687401,
1703025,
1734489,
1766241,
1814409,
1879641,
1896129,
1912689,
1929321,
1946025,
1962801,
2030625,
2064969,
2134521,
2169729,
2241009,
2277081,
2286144,
2331729,
2340900,
2368521,
2442969,
2461761,
2480625,
2624400,
2634129,
2692881,
2772225,
2792241,
2852721,
2913849,
2924100,
2934369,
2975625,
2996361,
3101121,
3164841,
3175524,
3229209,
3250809,
3294225,
3316041,
3381921,
3404025,
3426201,
3448449,
3470769,
3572100,
3583449,
3697929,
3721041,
3744225,
3767481,
3837681,
3908529,
3920400,
3932289,
4076361,
4100625,
4124961,
4198401,
4235364,
4284900,
4297329,
4322241,
4410000,
4422609,
4435236,
4473225,
4524129,
4652649,
4730625,
4756761,
4835601,
4862025,
4915089,
4968441,
5076009,
5157441,
5212089,
5322249,
5377761,
5405625,
5475600,
5517801,
5574321,
5688225,
5716881,
5890329,
5919489,
6036849,
6066369,
6095961,
6125625,
6155361,
6185169,
6230016,
6305121,
6335289,
6350400,
6426225,
6548481,
6610041,
6640929,
6702921,
6812100,
6890625,
6922161,
6985449,
7017201,
7049025,
7080921,
7144929,
7403841,
7469289,
7529536,
7535025,
7584516,
7601049,
7700625,
7767369,
7784100,
7901721,
7969329,
8037225,
8071281,
8173881,
8415801,
8485569,
8555625,
8590761,
8643600,
8696601,
8838729,
8946081,
8982009,
9090225,
9144576,
9150625,
9162729,
9235521,
9345249,
9363600,
9381969,
9455625,
9474084,
9566649,
9603801,
9715689,
9903609,
9922500.
Some larger examples :
983386881,
983763225,
984139641,
984327876,
984516129,
985269321,
986588100,
987530625,
987907761,
989794521,
992061009,
992250000,
992439009,
992817081,
994708521,
995087025,
996222969,
996980625,
997738569,
998117649.