First numbers that belong to both sets:
1,
4,
8,
9,
1323,
2048,
4225,
4624,
5324,
5329,
5832,
8712,
17424,
19773,
24336,
26244,
27436,
35912,
35937,
49729,
66049,
66248,
68644,
83349,
223729,
232324,
243675,
256036,
256328,
263169,
264627,
265837,
275427,
282752,
285768,
286225,
286443,
287296,
287496,
329623,
344569,
344763,
345600,
363312,
373321,
382347,
463347,
521752,
532512,
536648,
562432,
662596,
685584,
822649,
829472,
834632,
1347921,
1647243,
1758276,
1943236,
2053489,
2138312,
2179872,
2223963,
2226064,
2230272,
2232036,
2235025,
2238728,
2249728,
2298256,
2298368,
2325625,
2328676,
2356225,
2358792,
2362369,
2365444,
2367488,
2368521,
2383936,
2384928,
2392533,
2413827,
2426976,
2427364,
2436721,
2439844,
2534464,
2536828,
2544723,
2544768,
2579236,
2608225,
2634129,
2636984,
2637376,
2647129,
2663432,
2666689,
2676496,
2745649,
2756552,
2772225,
2775368,
2778889,
2866249,
2951524,
2968729,
3232332,
3232804,
3265249,
3267864,
3297856,
3322336,
3352561,
3441025,
3553225,
3568572,
3577392,
3580488,
3655744,
3666632,
3667225,
3742848,
3763584,
3786752,
3829849,
3857296,
3875328,
3904576,
3944312,
3962336,
4072324,
4210704,
4212675,
4253392,
4255443,
4264225,
4268356,
4286592,
4333568,
4341627,
4345352,
4347225,
4359744,
4371125,
4376464,
4392287,
4393216,
4428288,
4457628,
4472523,
4473225,
4476032,
4528384,
4562496,
4620375,
4657463,
4678569,
4734976,
4743684,
4853952,
4854728,
4857223,
4875264,
4954952,
5225796,
5239521,
5253125,
5322249,
5326864,
5359225,
5471432,
5597956,
5632792,
5787963,
5793649,
5832225,
5846724,
5909761,
5938947,
5938969,
5976432,
6322568,
6325225,
6328125,
6340324,
6344128,
6426225,
6436343,
6562323,
6635776,
6642376,
6682225,
6723027,
6723649,
6843744,
6874632,
6889472,
6927424,
6943225,
6953769,
7268416,
7472736,
7873636,
7924225,
8323225,
8454272,
8786432,
8892324,
8947775,
9255384,
9265936,
9273368,
9279432,
9972964.