First numbers that belong to both sets:
1,
111,
1216,
1491,
2125,
10071,
11629,
12871,
14176,
16975,
22761,
23329,
28125,
30691,
32689,
48439,
54375,
75264,
106750,
109209,
110449,
114211,
124551,
125875,
129889,
140901,
152361,
158259,
161250,
164269,
195999,
202681,
206064,
218125,
228736,
245125,
267859,
293625,
410914,
564609,
825471,
866769,
978121,
1011709,
1023031,
1057375,
1068949,
1104049,
1115875,
1123794,
1151731,
1163809,
1180011,
1216875,
1229289,
1300825,
1313659,
1317951,
1330869,
1352539,
1365625,
1432000,
1436481,
1440969,
1490799,
1518336,
1527571,
1569475,
1742761,
1757611,
1802539,
1858221,
1925119,
1966875,
2003779,
2025021,
2030349,
2067841,
2116549,
2165824,
2221239,
2249209,
2455759,
2568429,
2598499,
2689759,
2745271,
2770125,
2928000,
2972989,
2992375,
3077109,
3209779,
3229921,
3256875,
3372679,
3624589,
3703371,
4155625,
4340701,
4426875,
4434751,
4498011,
4796416,
4920121,
5163750,
5249125,
5326561,
5465625,
5749129,
5966461,
6076639,
6281250,
6413221,
6556141,
7436529,
7508125,
8844375,
9885961,
10027639,
10086969,
10122651,
10278001,
10290000,
10326039,
10422451,
10604431,
10714375,
10751149,
10763421,
10861849,
11010331,
11047609,
11234944,
11297739,
11348101,
11449161,
11499859,
11512551,
11652625,
11703771,
11961181,
11974125,
12064929,
12077929,
12273769,
12300000,
12497625,
12550591,
12590389,
12710161,
12750211,
12924489,
13072879,
13154176,
13181331,
13509375,
13523131,
13564441,
13647250,
13674909,
13855375,
13911141,
14233969,
14517699,
14818629,
14919625,
15035469,
15268501,
15621409,
15799375,
15829134,
15978349,
16218549,
16278879,
16339321,
16521319,
16734924,
16780875,
16857600,
16888339,
17073361,
17166250,
17197269,
17571681,
17713125,
17760399,
18348625,
19175131,
19306431,
19769509.