First numbers that belong to both sets:
1,
27,
49,
125,
169,
343,
361,
432,
500,
864,
961,
1125,
1323,
1331,
1369,
1849,
2187,
2197,
2744,
3125,
3375,
3721,
4489,
4563,
4913,
5324,
5329,
5488,
6125,
6241,
6859,
7776,
8281,
9261,
9409,
9747,
10609,
10976,
11881,
11979,
12167,
12500,
13500,
13824,
14641,
15125,
16129,
16807,
16875,
17689,
19321,
19652,
21125,
21168,
21600,
22801,
24389,
24500,
24649,
24696,
25947,
26569,
27783,
28125,
29791,
30375,
32761,
33275,
34992,
35152,
35937,
36125,
36963,
37249,
39601,
42336,
42592,
42875,
44217,
44521,
45125,
47089,
48668,
49729,
49923,
50653,
52441,
54000,
55125,
57967,
58081,
59319,
61009,
64827,
65219,
66125,
67081,
68600,
68921,
69984,
73008,
73441,
74088,
76729,
78125,
78608,
79507,
80089,
84375,
84500,
87616,
90601,
94249,
97336,
97556,
97969,
98784,
100467,
103823,
104544,
105125,
107163,
107653,
108000,
109503,
109561,
109744,
113569,
120125,
121203,
121801,
122825,
123823,
132651,
134456,
134689,
139129,
140608,
143641,
143748,
143883,
146016,
148176,
148877,
153125,
155952,
157609,
161051,
162409,
165375,
166375,
167281,
168507,
171125,
171500,
175616,
176868,
177241,
177957,
180500,
182329,
185193,
187489,
190125,
192721,
194672,
200000,
205379,
208849,
210125,
214369,
214375,
219488,
219501,
219961,
222264,
223587,
224939,
226981,
231125,
231361,
237169,
238328,
240737,
249001,
249696,
254043,
260876,
261121,
273375,
273529,
274400,
274625,
275684,
276125,
286443,
287296,
287496,
292681,
296352,
299209,
300763,
304175,
305809,
311904,
312481,
312500,
320787,
323433,
326041,
328509,
329623,
332024,
332929,
336091,
337500,
343000,
345600,
346921,
351125,
357911,
361201,
364500,
368449,
369603,
371293,
375769,
378125,
381024,
383161,
383328,
384659,
385875,
389017,
389344,
390224,
395307,
397953,
398161,
399424,
406125,
408375,
413449,
415152,
415292,
435125,
435483,
436921,
444528,
452929,
453789,
456533,
457056,
461041,
463736,
465125,
469567,
477481,
477603,
480491,
480500,
491300,
493039,
494209,
502681,
512000,
519841,
521667,
528125,
528529,
530604,
537289,
537824,
540000,
546121,
555579,
561125,
564001,
570375,
571787.
Some larger examples :
9663597,
9665881,
9733600,
9740641,
9752427,
9755600,
9796423,
9800000,
9815689,
9817443,
9826000,
9844076,
9850032,
9853321,
9862333,
9870125,
9891936,
9938375,
9948123,
9948825.