First numbers that belong to both sets:
512,
10648,
21952,
27000,
32768,
42875,
46656,
74088,
85184,
97336,
157464,
166375,
175616,
195112,
216000,
314432,
343000,
373248,
421875,
592704,
681472,
729000,
857375,
884736,
941192,
1061208,
1259712,
1331000,
1404928,
1481544,
1728000,
1953125,
2097152,
2197000,
2406104,
2985984,
3112136,
3241792,
3511808,
3652264,
3796416,
3944312,
4096000,
4741632,
5268024,
6028568,
6331625,
6434856,
6644672,
7529536,
8242408,
8489664,
8615125,
9261000,
9528128,
9800344.