First numbers that belong to both sets:
1,
8,
64,
216,
512,
1000,
1728,
2744,
4096,
5832,
8000,
10648,
13824,
17576,
21952,
27000,
32768,
46656,
64000,
74088,
85184,
110592,
125000,
140608,
157464,
175616,
216000,
262144,
287496,
314432,
343000,
373248,
438976,
474552,
512000,
592704,
681472,
729000,
778688,
884736,
941192,
1000000,
1061208,
1124864,
1259712,
1331000,
1404928,
1481544,
1560896,
1728000,
1906624,
2000376,
2097152,
2197000,
2299968,
2515456,
2628072,
2744000,
2985984,
3241792,
3375000,
3511808,
3652264,
3796416,
4096000,
4251528,
4410944,
4741632,
4913000,
5088448,
5268024,
5451776,
5832000,
6028568,
6229504,
6434856,
6644672,
6859000,
7077888,
7529536,
7762392,
8000000,
8489664,
8998912,
9261000,
9528128.