First numbers that belong to both sets:
125,
343,
1029,
1215,
1331,
1369,
1715,
1849,
2187,
2197,
3125,
3721,
4374,
4489,
4913,
5329,
6241,
6859,
9375,
9409,
10112,
10375,
10609,
10633,
10935,
10976,
10985,
11045,
11125,
11163,
11421,
11875,
11881,
12125,
12167,
12500,
12691,
12879,
12943,
13467,
13568,
13718,
13824,
14045,
14063,
14336,
14337,
14641,
14739,
14749,
15309,
15379,
15987,
16121,
16129,
16807,
16875,
17253,
17405,
18125,
18176,
18179,
18605,
18723,
18750,
19321,
20169,
20237,
20577,
20923,
21627,
21870,
21875,
22445,
22784,
22801,
22981,
24057,
24334,
24353,
24389,
24565,
24649,
25039,
25205,
26047,
26569,
26645,
27097,
27783,
28125,
28227,
28431,
28469,
29791,
29889,
30208,
30375,
30527,
30618,
31205,
31423,
32761,
33271,
33614,
34295,
34375,
34391,
34445,
34992,
36501,
36875,
37179,
37249,
37303,
39601,
39605,
40448,
40625,
41553,
42875,
43687,
43750,
43923,
44521,
45619,
47045,
48013,
49375,
49729,
50301,
50421,
50653,
52441,
53125,
55625,
58081,
59375,
59582,
60507,
60835,
63423,
64827,
65625,
65863,
67797,
68921,
69629,
69984,
70713,
71875,
73167,
73205,
73441,
76545,
76729,
78125,
79507,
80089,
80919,
84035,
84375,
85169,
89373,
89667,
90625,
94041,
94249,
96875,
97969,
100359,
100467,
100499,
100602,
100842,
100845,
100949,
101125,
101185,
101251,
101331,
101375,
101817,
101888,
102487,
102625,
102789,
102875,
102885,
103125,
103173,
103247,
103259,
103335,
103375,
103499,
103625,
103823,
103936,
104615,
104733,
104875,
105125,
105149,
105301,
106097,
106240,
106625,
106673,
107125,
107163,
107359,
107375,
107649,
107653,
107875,
107909,
108135,
108151,
108731,
109091,
109107,
109350,
109503,
109561,
109625,
109744,
110125,
110336,
110375,
110464,
110473,
110625,
110875,
110894,
111005,
111537,
111747,
111875,
111909,
112023,
112789,
112903,
112999,
113375,
113481,
113533,
113569,
113627,
113875,
113920,
114005,
114875,
114905,
114944,
115169,
115351,
115591,
115625,
115911,
115943,
116125,
116397,
116441,
116603,
116608,
117077,
117113,
117125,
117625,
117855,
118125,
118375,
118459,
118579,
118750,
118803,
118815,
119021,
119125.
Some larger examples :
9971875,
9974759,
9974907,
9975101,
9978641,
9979985,
9985162,
9985759,
9988029,
9988463,
9988487,
9989107,
9990299,
9992501,
9993545,
9993947,
9996777,
9996875,
9998677,
9999803.