First numbers that belong to both sets:
1,
8,
27,
216,
512,
1000,
1728,
4913,
5832,
8000,
13824,
17576,
19683,
27000,
35937,
46656,
59319,
64000,
74088,
110592,
125000,
157464,
185193,
216000,
287496,
314432,
328509,
343000,
373248,
421875,
474552,
512000,
592704,
658503,
729000,
804357,
884736,
1000000,
1061208,
1124864,
1157625,
1259712,
1331000,
1367631,
1404928,
1481544,
1728000,
2000376,
2460375,
2628072,
3176523,
3375000,
3652264,
3796416,
4251528,
4492125,
4741632,
4913000,
5000211,
5268024,
5545233,
5832000,
6434856,
7762392,
8000000,
9261000,
10077696,
10503459,
10941048,
11390625,
11852352,
12326391,
12812904,
13481272,
13824000,
16003008,
17173512,
17576000,
19034163,
19683000,
20346417,
21024576,
22425768,
23149125,
24642171,
25412184,
27000000,
28652616,
30371328,
32157432,
33076161,
34012224,
35937000,
37933056,
40001688,
41063625,
42144192,
43243551,
44361864,
46656000,
50243409,
54010152,
55306341,
56623104,
59319000,
62099136,
64000000,
66430125,
67917312,
72511713,
74088000,
80621568,
84027672,
91125000,
98611128,
100544625,
102503232,
104487111,
106496424,
108531333,
110592000,
114791256,
117649000,
123505992,
125000000,
125751501,
128024064,
130323843,
132651000,
142236648,
144703125,
152273304,
157464000,
162771336,
170953875,
173741112,
179406144,
185193000,
187149248,
191102976,
203297472,
206425071,
216000000,
222545016,
229220928,
236029032,
242970624,
250047000,
259694072,
274625000,
287496000,
303464448,
307546875,
311665752,
314432000,
315821241,
320013504,
324242703,
328509000,
337153536,
343000000,
348913664,
350402625,
373248000,
392223168,
397065375,
401947272,
411830784,
421875000,
432081216,
442450728,
447697125,
458314011,
474552000,
485587656,
496793088,
502459875,
512000000,
513922401,
531441000,
539353144,
555412248,
580093704,
584277056,
592704000,
618470208,
631628712,
658503000,
667627624,
672221376,
686128968,
700227072,
729000000,
733870808,
753571000,
766060875,
773620632,
788889024,
791453125,
804357000,
820025856,
843908625,
884736000,
918330048,
935441352,
970299000,
988047936,
1000000000,
1006012008,
1015075125,
1024192512,
1030301000,
1033364331,
1042590744,
1061208000,
1080045576,
1108717875,
1111934656,
1124864000,
1128111921,
1157625000,
1207949625,
1218186432,
1238833224,
1259712000,
1280824056,
1302170688,
1323753192,
1331000000,
1334633301,
1367631000,
1378749897,
1404928000,
1435249152,
1458274104,
1481544000,
1505060136,
1552836312,
1577098944,
1585242296,
1601613000,
1626379776,
1651400568,
1676676672,
1685159000,
1693669888,
1702209384,
1728000000,
1780360128,
1793613375,
1806932232,
1860867000,
1915864488,
1929781125,
1943764992,
2000376000,
2072671875,
2116874304,
2136719872,
2146689000,
2207155608,
2237810112,
2253243231,
2284322013,
2299968000,
2352637000,
2379270375,
2460375000,
2493326016,
2526569928,
2537716544,
2543302125,
2560108032,
2599609375,
2628072000,
2662500456,
2697228288,
2714704875,
2767587264,
2803221000.
Some larger examples :
8365427000,
8427392875,
8489664000,
8564793336,
8792838144,
8869743000,
8985939039,
9024895368,
9063964125,
9103145472,
9181846584,
9261000000,
9340607016,
9420668928,
9474296896,
9501187032,
9663597000,
9745491456,
9827847288,
9910665792.