First numbers that belong to both sets:
1,
10,
1081,
1225,
1711,
1891,
2485,
2701,
3403,
4753,
10585,
12403,
13861,
15931,
18721,
31375,
32896,
100576,
104653,
108811,
110215,
114481,
120295,
124750,
126253,
140185,
146611,
153181,
158203,
166753,
171991,
180901,
188191,
193753,
205120,
216811,
218791,
226801,
234955,
251695,
258121,
269011,
275653,
286903,
341551,
344035,
351541,
354061,
364231,
371953,
385003,
392941,
439453,
470935,
482653,
497503,
524800,
780625,
1034641,
1056331,
1073845,
1091503,
1104841,
1127251,
1145341,
1159003,
1181953,
1309771,
1314631,
1348903,
1353835,
1368685,
1373653,
1408681,
1537381,
1553203,
1558495,
1574425,
1644391,
1660753,
1710325,
1755001,
1771903,
1794565,
1817371,
1869211,
1886653,
1933561,
1963171,
1987021,
2096128,
2414503,
3126250,
3544453,
3946645,
4881250,
5649841,
5884165,
6060421,
6420736,
6835753,
6924781,
9757153,
10037440,
10064341,
10131751,
10185841,
10280845,
10335331,
10389961,
10403641,
10444735,
10499653,
10554715,
10679131,
10916128,
10944181,
11000395,
11056753,
11127403,
11212480,
11283625,
11297881,
11354995,
11455291,
11469655,
11512801,
11584891,
11686195,
11700703,
11860885,
11934055,
11992753,
12051595,
12066328,
12095821,
12169711,
12214153,
12273535,
12288403,
12347965,
12497500,
12512503,
12814453,
12890503,
12936241,
12951505,
12997351,
13012651,
13073941,
13243231,
13429153,
13569445,
13679065,
13694761,
14010571,
14169826,
14185801,
14201785,
14442625,
14507191,
14571901,
14636755,
14652991,
14783203,
14963185,
14996026,
15028903,
15144256,
15160771,
15226921,
15293215,
15442903,
15509665,
15559831,
15576571,
15778153,
15896341,
16185205,
16253551,
16304905,
16373503,
16528375,
16597441,
16718653,
16857721,
16944931,
17207911,
17225515,
17278381,
17331328,
17366671,
17561701,
17632891,
17919091,
17991001,
18063055,
18081091,
18225703,
18280081,
18443701,
18736381,
18791515,
18809911,
18865153,
19012861,
19235503,
19272736,
19328653,
19403335,
19665856,
19703503,
19760041,
19835551,
19911205.