First numbers that belong to both sets:
1729,
1092728,
3375001,
15438250,
121287376,
401947273,
3680797185,
6352182209,
7856862273,
12422690497,
73244501505,
145697644729,
179406144001,
489998600000,
648787169394,
938601300672,
985966166178,
1399056055488,
1594232306569,
2898516861513,
9635042700640,
10119744747001,
31599452533376,
49108313528001,
50194406979073,
55399722723800,
57507986235800,
58515008947768,
65753372717929,
71395901759126,
107741456072705,
194890060205353,
206173690790977,
251072400480057,
404682117722064,
498168062719418,
586607471154432,
588522607645609,
639746322022297,
729729243027001.