First numbers that belong to both sets:
243,
512,
1215,
1458,
1701,
2401,
4374,
4802,
4913,
5103,
10000,
10125,
10206,
10368,
11392,
11421,
11664,
12032,
12544,
12879,
13122,
13824,
15552,
16767,
16875,
17152,
17496,
17739,
19197,
19375,
19683,
20000,
20736,
21141,
21870,
22599,
23328,
24010,
24064,
24576,
26244,
26973,
27783,
30618,
31104,
32000,
34992,
36015,
37179,
38637,
39366,
40000,
41472,
41875,
43011,
44469,
45927,
46656,
48843,
50000,
50301,
51759,
52488,
54675,
57591,
59049,
62208,
64000,
64827,
64881,
65610,
69984,
76545,
78732,
80000,
80919,
81920,
83349,
84375,
85293,
91854,
93312,
98304,
98415,
100000,
100602,
101120,
101250,
101331,
102303,
102789,
103335,
103518,
103552,
103680,
104704,
104875,
104960,
104976,
105861,
106434,
106496,
106677,
107649,
108864,
109312,
109350,
109375,
110080,
110464,
110592,
110625,
110889,
111051,
111104,
111250,
111909,
112000,
112023,
112995,
113875,
113920,
113967,
114688,
115182,
115248,
115943,
116224,
116397,
116603,
116640,
117369,
117855,
118098,
118375,
118784,
118827,
120000,
120320,
120832,
121014,
121203,
122472,
122567,
122875,
123201,
123687,
123823,
124416,
124659,
125000,
125440,
126846,
126875,
126976,
127089,
127575,
128547,
128768,
129654,
129762,
131220,
131875,
131949,
133125,
134379,
134865,
135594,
136809,
137781,
138267,
138753,
138915,
139239,
139968,
140000,
140211,
140697,
141135,
141426,
143883,
144039,
144099,
144342,
144896,
145152,
145557,
146189,
146529,
146944,
149445,
149931,
150000,
151389,
151875,
153090,
153819,
154112,
155277,
155520,
155763,
156249,
156735,
157464,
158171,
158193,
159651,
161838,
162304,
162567,
163296,
163539,
165199,
165483,
165625,
165888,
166341,
166941,
167913,
167936,
168507,
168750,
170586,
171475,
171520,
172287,
172773,
174717,
174848,
174960,
176661,
177147,
178119,
178605,
179334,
179456,
180075,
180549,
182183,
182250,
182493,
183708,
183951,
184923,
185193,
186624,
187353,
188082,
188125,
188811,
190269,
190976,
191727,
192000,
192080,
193185,
193671,
193750,
194481,
194643,
196830,
197073,
198025,
198911,
199017,
199503,
200000,
201472,
201684,
202240,
203125,
203877,
204849,
205578,
207279,
207360,
207765,
208737,
209709,
209952.
Some larger examples :
999651456,
999692391,
999697167,
999703125,
999709055,
999710505,
999738936,
999761161,
999791424,
999822019,
999843750,
999863488,
999866368,
999871614,
999876717,
999906250,
999931392,
999937953,
999952128,
999968571.