First numbers that belong to both sets:
1,
27,
49,
125,
169,
343,
361,
961,
1331,
1369,
1849,
2187,
2197,
2744,
3125,
3375,
3721,
4489,
4913,
5329,
6241,
6859,
7776,
8281,
9261,
9409,
10609,
11881,
12167,
13824,
14641,
16129,
16807,
17689,
19321,
22801,
24389,
24649,
26569,
29791,
32761,
35937,
37249,
39601,
42875,
44521,
47089,
49729,
50653,
52441,
58081,
59319,
61009,
67081,
68921,
73441,
74088,
76729,
78125,
79507,
80089,
87616,
90601,
94249,
97336,
97969,
103823,
109561,
113569,
121801,
132651,
134689,
139129,
140608,
143641,
148877,
157609,
161051,
162409,
166375,
167281,
175616,
177241,
182329,
185193,
187489,
192721,
205379,
208849,
214369,
219961,
226981,
231361,
237169,
238328,
249001,
261121,
273529,
274625,
287296,
287496,
292681,
299209,
300763,
305809,
312481,
326041,
328509,
332929,
343000,
346921,
357911,
361201,
368449,
371293,
375769,
383161,
389017,
398161,
399424,
413449,
436921,
452929,
456533,
461041,
477481,
493039,
494209,
502681,
512000,
519841,
528529,
537289,
537824,
546121,
564001,
571787,
573049,
582169,
591361,
614125,
619369,
628849,
657721,
658503,
667489,
677329,
687241,
704969,
717409,
727609,
737881,
753571,
758641,
759375,
760384,
769129,
779689,
790321,
804357,
822649,
823543,
830584,
844561,
857375,
877969,
900601,
912673,
923521,
935089,
946729,
982081,
994009,
998001,
1018081,
1030301,
1042441,
1054729,
1067089,
1079521,
1092727,
1104601,
1117249,
1129969,
1142761,
1157625,
1181569,
1194649,
1207801,
1225043,
1247689,
1261129,
1274641,
1295029,
1301881,
1315609,
1329409,
1343281,
1367631,
1371241,
1419857,
1442401,
1442897,
1459264,
1471369,
1481544,
1515361,
1520875,
1530169,
1560001,
1590121,
1601613,
1605289,
1620529,
1635841,
1666681,
1682209,
1685159,
1697809,
1700416,
1728000,
1745041,
1760929,
1776889,
1792921,
1825201,
1860867,
1907161,
1923769,
1940449,
1957201,
2007889,
2024929,
2042041,
2048383,
2093809,
2111209,
2128681,
2146689,
2163841,
2181529,
2199289,
2217121,
2248091,
2253001,
2343961,
2352637,
2380849,
2383936,
2399401,
2436721,
2455489,
2474329,
2476099,
2493241,
2531281,
2550409,
2569609,
2571353,
2588881,
2627641,
2628072,
2647129,
2685619,
2725801,
2745649,
2765569,
2785561,
2803221,
2825761,
2845969,
2863288,
2866249,
2886601,
2924207,
2968729,
2989441,
3031081,
3048625,
3052009.
Some larger examples :
9006001,
9042049,
9114361,
9129329,
9186961,
9223369,
9261000,
9296401,
9369721,
9393931,
9406489,
9443329,
9480241,
9591409,
9663597,
9665881,
9740641,
9815689,
9853321,
9938375.