First numbers that belong to both sets:
561,
1105,
1729,
2465,
2821,
6601,
8911,
10585,
15841,
29341,
41041,
46657,
52633,
62745,
63973,
75361,
101101,
115921,
126217,
162401,
172081,
188461,
252601,
278545,
294409,
314821,
334153,
340561,
399001,
410041,
449065,
488881,
512461,
530881,
552721,
656601,
658801,
670033,
748657,
825265,
838201,
852841,
997633,
1024651,
1033669,
1050985,
1082809,
1152271,
1193221,
1461241,
1569457,
1615681,
1773289,
1857241,
1909001,
2100901,
2113921,
2433601,
2455921,
2508013,
2531845,
2628073,
2704801,
3057601,
3146221,
3224065,
3581761,
3664585,
3828001,
4335241,
4463641,
4767841,
4903921,
4909177,
5031181,
5049001,
5148001,
5310721,
5444489,
5481451,
5632705,
5968873,
6049681,
6054985,
6189121,
6313681,
6733693,
6840001,
6868261,
7207201,
7519441,
7995169,
8134561,
8341201,
8355841,
8719309,
8719921,
8830801,
8927101,
9439201,
9494101,
9582145,
9585541,
9613297,
9890881,
10024561,
10267951,
10402561,
10606681,
10837321,
10877581,
11119105,
11205601,
11921001,
11972017,
12261061,
12262321,
12490201,
12945745,
13187665,
13696033,
13992265,
14469841,
14676481,
14913991,
15247621,
15403285,
15829633,
15888313,
16046641,
16778881,
17098369,
17236801,
17316001,
17586361,
17812081,
18162001,
18307381,
18900973,
19384289,
19683001,
20964961,
21584305,
22665505,
23382529,
25603201,
26280073,
26474581,
26719701,
26921089,
26932081,
27062101,
27336673,
27402481,
28787185,
29020321,
29111881,
31146661,
31405501,
31692805,
32914441,
33302401,
33596641,
34196401,
34657141,
34901461,
35571601,
35703361,
36121345,
36765901,
37167361,
37280881,
37354465,
37964809,
38151361,
38624041,
38637361,
39353665,
40160737,
40280065,
40430401,
40622401,
40917241,
41298985,
41341321,
41471521,
42490801,
43286881,
43331401,
43584481,
43620409,
44238481,
45318561,
45877861,
45890209,
46483633,
47006785,
48321001,
48628801,
49333201,
50201089,
53245921,
53711113,
54767881,
55462177,
56052361,
58489201,
60112885,
60957361,
62756641,
64377991,
64774081,
65037817,
65241793,
67371265,
67653433,
67902031,
67994641,
68154001,
69331969,
70561921,
72108421,
72286501,
74165065,
75151441,
75681541,
75765313,
76595761,
77826001,
78091201,
78120001,
79411201,
79624621,
80282161,
80927821,
81638401,
81926461,
82929001,
83099521,
83966401,
84311569,
84350561,
84417985,
87318001,
88689601,
90698401,
92625121,
93030145,
93614521,
93869665,
94536001,
96895441,
99036001,
99830641,
99861985,
100427041,
101649241,
101957401,
102090781,
104404861,
104569501,
104852881,
105117481,
105309289,
105869401,
106041937,
107714881,
109393201,
109577161,
111291181,
114910489,
115039081,
115542505,
116682721,
118901521,
119327041,
120981601,
121247281,
122785741,
124630273.
Some larger examples :
993063456001,
993415935601,
993665456785,
993927510577,
994788345601,
995148830593,
995477149801,
995483689201,
996018031009,
996154468849,
996385622401,
996428170081,
996648937921,
997623920161,
997803878401,
997920268801,
998324255809,
998667686017,
999607982113,
999629786233.