First numbers that belong to both sets:
8,
9,
36,
128,
225,
625,
1089,
1250,
2025,
2601,
3600,
4761,
5625,
6561,
7569,
8100,
10000,
15129,
19881,
22500,
25281,
26244,
31329,
32400,
32768,
45369,
50625,
62001,
71289,
90000,
91809,
103041,
114921,
117649,
154449,
164025,
168921,
199809,
202500,
235298,
251001,
269361,
288369,
320000,
328329,
349281,
463761,
488601,
514089,
518400,
540225,
567009,
585225,
594441,
622521,
651249,
656100,
710649,
772641,
793881,
810000,
870489,
904401,
941192,
1058841,
1071225,
1083681,
1115136,
1121481,
1159929,
1320201,
1361889,
1447209,
1500625,
1580049,
1625625,
1671849,
1679616,
1703025,
1766241,
1814409,
1896129,
1912689,
1962801,
2064969,
2169729,
2277081,
2331729,
2340900,
2442969,
2624400,
2792241,
2852721,
2913849,
2975625,
3001250,
3101121,
3164841,
3175524,
3229209,
3404025,
3426201,
3470769,
3697929,
3767481,
3837681,
3908529,
4100625,
4124961,
4198401,
4284900,
4422609,
4473225,
4652649,
4730625,
4862025,
4968441,
5212089,
5377761,
5517801,
5688225,
5716881,
5890329,
6066369,
6155361,
6335289,
6610041,
6702921,
6812100,
6985449,
7049025,
7080921,
7144929,
7469289,
7529536,
7584516,
7767369,
7969329,
8071281,
8173881,
8485569,
8590761,
8643600,
8696601,
9235521,
9345249,
9363600,
9455625,
9566649,
9903609.