First numbers that belong to both sets:
1,
32,
49,
100,
784,
1000,
1444,
1521,
3364,
4096,
4225,
4356,
4900,
7225,
7744,
8281,
9604,
10000,
11025,
12167,
12321,
12996,
13824,
14641,
15625,
17424,
17956,
22201,
24025,
27225,
27556,
27889,
28561,
29584,
34596,
37636,
42025,
45369,
54289,
55696,
56644,
59049,
59536,
63504,
64009,
70225,
73441,
73984,
74088,
75625,
76729,
78400,
83521,
88804,
100000,
101124,
105625,
106929,
108241,
121104,
123201,
126025,
127449,
140625,
143641,
144400,
152100,
155236,
156025,
157609,
164025,
170569,
178929,
180625,
181476,
185761,
190969,
196249,
207025,
226981,
227529,
234256,
236196,
239121,
241081,
248004,
250047,
251001,
252004,
254016,
263169,
268324,
269361,
277729,
283024,
292681,
294849,
295936,
300763,
332929,
336400,
337561,
354025,
355216,
356409,
398161,
407044,
408321,
409600,
413449,
416025,
422500,
423801,
429025,
430336,
435600,
461041,
467856,
490000,
501264,
502681,
519841,
522729,
528529,
531441,
537824,
538756,
553536,
570025,
574564,
588289,
675684,
682276,
685584,
698896,
704969,
707281,
722500,
727609,
737881,
774400,
778688,
801025,
808201,
828100,
857476,
889249,
891136,
896809,
908209,
958441,
960400,
962361,
966289,
992016,
1000000,
1010025,
1032256,
1044484,
1050625,
1054729,
1065024,
1092727,
1096209,
1100401,
1102500,
1106704,
1138489,
1177225,
1199025,
1205604,
1229881,
1232100,
1234321,
1240996,
1249924,
1267876,
1285956,
1290496,
1299600,
1304164,
1320201,
1329409,
1336336,
1364224,
1380625,
1385329,
1387684,
1394761,
1430416,
1444804,
1447209,
1456849,
1464100,
1468944,
1471369,
1481544,
1500625,
1507984,
1562500,
1575025,
1600225,
1633284,
1658944,
1682209,
1687401,
1700416,
1710864,
1734489,
1737124,
1739761,
1742400,
1774224,
1790244,
1795600,
1833316,
1836025,
1934881,
1948816,
1974025,
2007889,
2024929,
2085136,
2090916,
2093809,
2099601,
2108304,
2208196,
2220100,
2223081,
2226064,
2229049,
2334784,
2353156,
2393209,
2399401,
2402500,
2405601,
2411809,
2460375,
2477476,
2505889,
2518569,
2563201,
2566404,
2569609,
2579236,
2630884,
2637376,
2666689,
2715904,
2722500,
2755600,
2762244,
2772225,
2788900,
2803221,
2812329,
2819041,
2842596,
2856100,
2903616,
2920681,
2934369,
2948089,
2958400,
2961841,
2965284,
2968729,
2982529,
2989441,
2999824,
3003289,
3045025,
3055504,
3066001,
3069504,
3087049,
3090564,
3104644.
Some larger examples :
9296401,
9320809,
9339136,
9400356,
9437184,
9504889,
9585216,
9628609,
9721924,
9728161,
9746884,
9771876,
9778129,
9803161,
9809424,
9853321,
9884736,
9947716,
9966649,
10000000.