First numbers that belong to both sets:
1,
10,
27,
175,
1387,
2047,
2425,
2835,
4000,
11502,
13747,
14701,
15687,
17755,
19951,
21097,
24727,
26001,
27307,
31417,
62125,
65152,
98125,
103201,
104490,
109726,
113737,
126202,
142317,
145351,
148417,
149962,
161001,
164227,
177451,
184255,
191187,
216457,
220195,
223965,
227767,
231601,
235467,
239365,
249250,
261376,
337851,
707701,
724626,
856087,
943326,
1010527,
1026675,
1051137,
1084201,
1092547,
1117777,
1139022,
1169101,
1239325,
1284255,
1293337,
1302451,
1329985,
1376515,
1433407,
1471975,
1501237,
1530787,
1540701,
1560625,
1590751,
1636480,
1651867,
1677672,
1703677,
1724625,
1735147,
1788237,
1809697,
1831285,
1842127,
1863907,
1880326,
1963501,
1974727,
2008597,
2019951,
2111935,
2182267,
2205967,
2247750,
2253751,
2314201,
2363137,
2387797,
2443750,
2615497,
2628451,
2733235,
2746477,
2759751,
2813167,
2826601,
2907877,
2948947,
2976487,
3031951,
3073885,
3102001,
3116107,
3144415,
3208576,
3287875,
3324240,
3375487,
3449377,
3464251,
3539101,
3584395,
3737455,
3768451,
3862207,
3941217,
3973045,
3989007,
4191232,
4232277,
5041147,
5901255,
6038077,
6356701,
7103557,
7914375,
8498682,
9742201,
10018807,
10044145,
10069515,
10094917,
10120351,
10158562,
10235200,
10350697,
10402237,
10466842,
10479787,
10505701,
10557625,
10635751,
10661857,
10792867,
10819165,
10832326,
10845495,
10977625,
10990882,
11070592,
11137237,
11190697,
11257702,
11351845,
11432851,
11459917,
11500576,
11541307,
11677597,
11704951,
11732337,
11800942,
11842201,
11938752,
11980251,
12035695,
12119101,
12174865,
12244750,
12300802,
12455605,
12711007,
12839680,
12882715,
12940207,
13084497,
13156942,
13258701,
13317025,
13404751,
13507462,
13581067,
13758535,
13907305,
13996951,
14026897,
14056875,
14177107,
14252512,
14297851,
14328117,
14343262,
14358415,
14525626,
14540875,
14632537,
14693805,
14739840,
14878377,
15033067,
15110712,
15188557,
15376201,
15439005,
15533451,
15564997,
15723207,
15739072,
15754945,
15978007,
16042027,
16074085,
16331701,
16364047,
16396425,
16771072,
16853077,
16951747,
17116837,
17183097,
17216275,
17349307,
17449417,
17549815,
18124177,
18158251,
18192357,
18226495,
18380512,
18535177,
18673201,
18881197,
18985627,
19195351,
19300645,
19335807,
19512097,
19582837.