First numbers that belong to both sets:
1,
4,
9,
4225,
4624,
5329,
17424,
24336,
26244,
49729,
66049,
68644,
223729,
232324,
256036,
263169,
286225,
287296,
344569,
373321,
662596,
685584,
822649,
1347921,
1758276,
1943236,
2053489,
2226064,
2232036,
2235025,
2298256,
2325625,
2328676,
2356225,
2362369,
2365444,
2368521,
2383936,
2427364,
2436721,
2439844,
2534464,
2579236,
2608225,
2634129,
2637376,
2647129,
2666689,
2676496,
2745649,
2772225,
2778889,
2866249,
2951524,
2968729,
3232804,
3265249,
3297856,
3352561,
3441025,
3553225,
3655744,
3667225,
3829849,
3857296,
3904576,
4072324,
4210704,
4264225,
4268356,
4347225,
4359744,
4376464,
4393216,
4473225,
4528384,
4562496,
4678569,
4734976,
4743684,
4875264,
5225796,
5239521,
5322249,
5326864,
5359225,
5597956,
5793649,
5832225,
5846724,
5909761,
5938969,
6325225,
6340324,
6426225,
6635776,
6682225,
6723649,
6927424,
6943225,
6953769,
7268416,
7873636,
7924225,
8323225,
8892324,
9265936,
9972964.