First numbers that belong to both sets:
1,
2,
3,
5,
7,
133,
209,
247,
407,
481,
511,
629,
803,
1141,
1387,
1417,
1547,
1651,
1679,
1729,
1853,
2001,
2119,
2159,
2353,
2465,
2755,
2771,
2821,
3031,
3055,
3077,
3097,
3383,
3439,
3523,
3749,
3781,
4465,
4577,
4607,
4991,
5149,
5161,
5833,
6331,
6443,
7033,
7055,
7361,
7501,
7543,
7859,
8203,
8227,
8717,
8911,
9253,
9503,
9545,
10011,
10109,
10213,
10279,
10307,
10543,
10703,
10727,
10787,
10963,
11245,
11339,
11647,
11951,
12563,
12673,
12857,
13111,
13117,
13481,
13515,
13685,
14093,
14099,
14383,
14521,
14705,
15045,
15067,
15409,
15689,
15751,
15755,
16169,
16435,
16541,
16583,
17119,
17153,
17461,
17777,
17803,
17887,
18031,
18071,
18239,
18299,
18653,
19171,
19601,
19865,
20001,
20009,
20137,
20197,
20355,
20371,
20445,
20603,
20605,
20801,
20881,
21073,
21165,
21301,
21307,
21437,
21541,
21565,
21743,
21907,
22009,
22049,
22249,
22355,
22591,
22661,
22711,
22793,
22933,
22997,
23055,
23413,
23617,
24191,
24449,
24643,
24803,
25051,
25277,
25327,
25415,
25691,
25699,
26221,
26333,
26519,
26933,
27037,
27251,
27347,
27721,
27761,
28405,
28489,
28739,
29417,
29431,
29831,
30121,
30503,
30617,
30659,
30701,
30705,
30901,
31135,
31229,
31483,
31535,
31841,
32011,
32071,
32147,
32167,
32453,
32729,
33007,
33065,
33193,
33241,
33371,
33535,
33557,
33959,
34219,
34411,
34561,
34901,
34903,
35113,
35207,
35245,
35513,
35627,
36105,
36271,
36455,
36569,
36613,
36859,
37043,
37283,
38323,
38657,
39649,
40007,
40027,
40201,
40261,
40403,
40409,
40595,
40601,
40715,
40717,
41059,
41431,
41633,
41789,
41837,
42085,
42551,
42601,
42665,
42997,
43079,
43163,
43303,
43453,
43493,
43877,
44081,
44115,
44137,
44399,
44735,
44979,
45149,
45163,
45505,
45563,
45611,
45965,
46111,
46223,
46391,
46531,
47141,
47219,
47633,
47989,
48047,
48241,
48577,
49097,
49693,
49703,
49987,
50235,
50293,
50303,
50501,
50507,
50945,
51119,
51319,
51405,
51661,
51773.
Some larger examples :
9993157,
9993931,
9994033,
9994037,
9995513,
9995537,
9996031,
9996251,
9996253,
9996383,
9997027,
9997229,
9998295,
9998789,
9998907,
9998921,
9998927,
9999203,
9999519,
9999881.