First numbers that belong to both sets:
1331,
1369,
1681,
1792,
3481,
4489,
6859,
10496,
10609,
10624,
10625,
10633,
10658,
11163,
11881,
12691,
12769,
13824,
16281,
16384,
16767,
17152,
17496,
17920,
18605,
18769,
20169,
22784,
22981,
26569,
28431,
28469,
33271,
33614,
34295,
36481,
38809,
43011,
43904,
44469,
45619,
58081,
60507,
64881,
69169,
72361,
74431,
78125,
80919,
85169,
97969,
101125,
101331,
103058,
103552,
103625,
103808,
104882,
104960,
104976,
105088,
105125,
105149,
105219,
105301,
105344,
105625,
105705,
105728,
105856,
105861,
106097,
106112,
106240,
106250,
106434,
106496,
106625,
106673,
106677,
107125,
107163,
108241,
108731,
109056,
109184,
109312,
109561,
111005,
112627,
113408,
113481,
113569,
113627,
115169,
115591,
116162,
117369,
118803,
119351,
120127,
120875,
122317,
125881,
126976,
127089,
128881,
130181,
130235,
130331,
130816,
131369,
131383,
131769,
134379,
134689,
137781,
138496,
140032,
141824,
144342,
144403,
144669,
145408,
148519,
148877,
149645,
149769,
149931,
153333,
153664,
153819,
155277,
155763,
157464,
158464,
160181,
160381,
161312,
163840,
165669,
165731,
165969,
167281,
168704,
170471,
170569,
171475,
171520,
172225,
173563,
174231,
174960,
176435,
177147,
178119,
179456,
181781,
183347,
187353,
190269,
193027,
193471,
194481,
195223,
198125,
198147,
199781,
200704,
203877,
204849,
206681,
207646,
208537,
208737,
210681,
211631,
212629,
214369,
214569,
214784,
220549,
220672,
223074,
226719,
226981,
227840,
228488,
229375,
229376,
234269,
234981,
236032,
236875,
236883,
236927,
237169,
238869,
240128,
241081,
242757,
247009,
247131,
247151,
247303,
247552,
248576,
249218,
251419,
253783,
253952,
255881,
257645,
259081,
259375,
263169,
266511,
266875,
268119,
271313,
273529,
274432,
281219,
281961,
283318,
283581,
285719,
292681,
293058,
293125,
295245,
297419,
299619,
302526,
302869,
311469,
314531,
316969,
318028,
318719,
320031,
322373,
325069,
331169,
331681,
331776,
332667,
332929,
333053,
333153,
333739,
334084,
334336,
334375,
334562,
334611,
335111,
335872,
336069,
336091,
336140,
336743,
337169,
337408,
337527,
337561,
337657,
337747,
338125,
338432,
338541,
338985,
339968,
340736,
344569,
354631,
356481,
368219,
372287,
372519.
Some larger examples :
9804321,
9813069,
9820810,
9840769,
9843103,
9853393,
9854622,
9859375,
9862333,
9865815,
9865881,
9869931,
9870511,
9891072,
9918531,
9920232,
9938999,
9954025,
9979281,
9992403.