First numbers that belong to both sets:
243,
1280,
1701,
1715,
1792,
1849,
2187,
2401,
2809,
3481,
3645,
3721,
4802,
5103,
5329,
6241,
6250,
6561,
6859,
6889,
7203,
7921,
8192,
9375,
9409,
10000,
10082,
10112,
10125,
10201,
10206,
10240,
10368,
10375,
10443,
10449,
10496,
10609,
10624,
10625,
10633,
10658,
10752,
10976,
10985,
11008,
11045,
11125,
11163,
11392,
11421,
11449,
11664,
11767,
11776,
11875,
11881,
11907,
12005,
12032,
12125,
12167,
12288,
12393,
12416,
12482,
12500,
12544,
12691,
12769,
12800,
12879,
12943,
13122,
13125,
13467,
13568,
13718,
13778,
13824,
13851,
14063,
14336,
14337,
14375,
14406,
14641,
14739,
14749,
14823,
14848,
15104,
15123,
15309,
15379,
15463,
15552,
15616,
15625,
15842,
15872,
15987,
16000,
16121,
16129,
16281,
16384,
16767,
16875,
17152,
17161,
17253,
17405,
17496,
17739,
17920,
18125,
18176,
18179,
18225,
18605,
18688,
18723,
18750,
18769,
18818,
18944,
19197,
19208,
19321,
19375,
19663,
19683,
20000,
20169,
20224,
20237,
20480,
20577,
20667,
20736,
20923,
20992,
21141,
21248,
21609,
21627,
21870,
21875,
21952,
22016,
22201,
22445,
22599,
22784,
22801,
22981,
23125,
23328,
23571,
23763,
24010,
24057,
24064,
24334,
24353,
24367,
24389,
24565,
24576,
24649,
24832,
25000,
25039,
25088,
25205,
25515,
25625,
26047,
26244,
26411,
26569,
26645,
26875,
26973,
27097,
27136,
27783,
27889,
28125,
28227,
28431,
28469,
28561,
28672,
29282,
29375,
29791,
29889,
29929.