First numbers that belong to both sets:
81,
169,
784,
1369,
1681,
1764,
3364,
3481,
3969,
4489,
7569,
8100,
8281,
10609,
11881,
12769,
16384,
16900,
18769,
19881,
24336,
25281,
26569,
33489,
33856,
34969,
36481,
38809,
42025,
43681,
45369,
56169,
58081,
67081,
69169,
71289,
72361,
78400,
82369,
84681,
95481,
97969,
101761,
104976,
105625,
106276,
106929,
108241,
109561,
111556,
113569,
116281,
128881,
131769,
134689,
136900,
149769,
152881,
153664,
161604,
167281,
168100,
170569,
172225,
176400,
178084,
189225,
190096,
190969,
194481,
200704,
205209,
210681,
213444,
214369,
223729,
237169,
241081,
247009,
259081,
263169,
273529,
281961,
285156,
288369,
292681,
312481,
316969,
331776,
332929,
334084,
335241,
336400,
337561,
338724,
344569,
348100,
349281,
370881,
375769,
380689,
389376,
396900,
405769,
410881,
434281,
439569,
448900,
459684,
466489,
471969,
474721,
477481,
484416,
502681,
508369,
511225,
543169,
549081,
558009,
576081,
579121,
582169,
619369,
620944,
625681,
643204,
654481,
660969,
678976,
697225,
700569,
707281,
719104,
737881,
743044,
744769,
756900,
762129,
772641,
781456,
783225,
786769,
793881,
806404,
810000,
826281,
828100,
833569,
839056,
866761,
872356,
877969,
885481,
900601,
910116,
917764,
919681,
927369,
954529,
962361,
974169,
982081,
1018081,
1026169,
1030225,
1036324,
1050625,
1052676,
1054729,
1056784,
1058841,
1060900,
1062961,
1065024,
1067089,
1069156,
1071225,
1075369,
1083681,
1117249,
1121481,
1129969,
1181569,
1183744,
1188100,
1190281,
1229881,
1238769,
1263376,
1270129,
1272384,
1276900,
1292769,
1301881,
1327104,
1338649,
1343281,
1352569,
1364224,
1375929,
1380625,
1382976,
1399489,
1408969,
1418481,
1430416,
1461681,
1471369,
1517824,
1520289,
1525225,
1530169,
1540081,
1545049,
1585081,
1595169,
1615441,
1620529,
1638400,
1643524,
1656369,
1666681,
1679616,
1690000,
1708249,
1713481,
1723969,
1726596,
1734489,
1763584,
1787569,
1798281,
1830609,
1833316,
1846881,
1857769,
1860496,
1876900,
1885129,
1923769,
1934881,
1982464,
1985281,
1988100,
1996569,
2010724,
2027776,
2047761,
2064969,
2076481,
2093809,
2114116,
2128681,
2140369,
2196324,
2208196,
2211169,
2223081,
2232036,
2277081,
2289169,
2362369,
2374681,
2430481,
2433600,
2442969,
2461761,
2471184,
2474329,
2477476,
2509056,
2512225,
2518569,
2528100,
2531281,
2588881,
2601769,
2656900,
2666689.
Some larger examples :
9339136,
9357481,
9381969,
9529569,
9548100,
9554281,
9597604,
9628609,
9665881,
9690769,
9715689,
9778129,
9796900,
9803161,
9840769,
9865881,
9941409,
9954025,
9972964,
9979281.