First numbers that belong to both sets:
1,
8,
27,
64,
125,
343,
512,
729,
1331,
2197,
3375,
4096,
4913,
6859,
9261,
12167,
15625,
19683,
24389,
29791,
32768,
35937,
39304,
42875,
50653,
54872,
59319,
68921,
79507,
91125,
97336,
103823,
117649,
132651,
148877,
166375,
185193,
195112,
205379,
226981,
238328,
250047,
262144,
274625,
300763,
328509,
357911,
389017,
405224,
421875,
456533,
493039,
531441,
551368,
571787,
614125,
636056,
658503,
704969,
753571,
804357,
830584,
857375,
912673,
970299,
1030301,
1092727,
1191016,
1225043,
1295029,
1367631,
1442897,
1520875,
1601613,
1643032,
1685159,
1771561,
1815848,
1860867,
1953125,
2048383,
2097152,
2146689,
2248091,
2352637,
2406104,
2460375,
2571353,
2685619,
2803221,
2863288,
2924207,
3048625,
3112136,
3176523,
3307949,
3442951,
3581577,
3723875,
3869893,
3944312,
4019679,
4173281,
4330747,
4574296,
4657463,
4826809,
5000211,
5177717,
5359375,
5545233,
5639752,
5735339,
5929741,
6128487,
6331625,
6539203,
6751269,
6967871,
7189057,
7301384,
7645373,
7880599,
8120601,
8242408,
8365427,
8615125,
8741816,
8869743,
9129329,
9393931,
9663597,
9800344,
9938375.