First numbers that belong to both sets:
11,
13,
101,
103,
181,
293,
631,
701,
811,
1153,
1171,
1409,
1801,
1933,
2017,
2039,
2053,
2143,
2213,
2521,
2633,
3041,
3089,
3221,
3373,
3391,
3469,
3643,
3739,
4057,
4231,
5153,
5281,
5333,
5449,
5623,
5717,
6053,
6121,
6301,
7043,
7333,
8101,
8543,
9241,
10151,
10313,
10463,
10667,
11161,
11321,
11657,
12203,
12241,
12401,
12553,
12601,
13381,
13523,
13633,
13729,
14087,
14177,
14207,
15017,
15107,
15121,
15413,
15473,
17011,
17123,
17761,
18061,
18313,
18461,
18919,
19141,
20129,
20369,
20431,
21023,
21601,
21713,
21803,
22093,
22453,
22501,
22921,
23003,
23117,
23173,
23311,
23719,
24181,
24923,
25423,
25771,
27043,
29311,
29641,
30119,
30203,
30469,
30713,
31019,
31547,
32203,
32401,
33013,
33091,
33301,
33413,
33811,
33941,
35291,
36319,
36353,
36607,
37123,
37253,
37321,
38351,
39521,
39581,
40543,
41117,
41131,
41203,
41243,
41737,
41911,
42307,
43003,
43117,
43207,
43223,
43913,
44071,
44101,
44389,
44657,
45061,
45139,
46703,
46831,
47221,
47317,
48541,
49081,
49957,
50023,
50111,
50207,
50311,
50513,
50599,
50627,
51691,
51871,
52223,
52267,
53381,
53507,
53527,
54001,
54331,
54421,
54601,
54881,
55127,
55291,
56401,
56999,
57529,
58337,
60413,
60703,
61153,
62327,
63113,
63443,
64189,
64303,
66271,
66763,
68611,
70207,
70249,
71039,
71671,
71741,
72139,
72229,
72623,
73433,
73651,
74027,
74531,
75583,
75941,
76261,
76441,
77291,
77813,
79907,
80491,
80963,
81049,
81773,
82051,
82507,
82729,
83117,
83177,
83357,
83663,
84143,
84349,
84761,
85061,
88301,
89021,
89533,
90203,
91163,
91309,
91433,
92153,
92203,
92269,
93503,
99053,
100193,
100333,
100403,
100649,
100801,
100913,
101141,
101183,
101323,
101363,
101383,
101411,
101503,
101723,
101749,
102023,
102061,
102241,
102481,
102913,
103217,
103291,
103529,
104513,
104597,
104623,
105541,
106993,
107123,
107323,
107903,
108023,
108139,
108649,
109721,
109961,
110051,
110237,
110251,
110543,
111467,
111623,
111751,
112103,
112121,
112213,
112459,
112543.
Some larger examples :
19945903,
19950341,
19956697,
19959223,
19961527,
19961783,
19965307,
19968041,
19969211,
19969723,
19970011,
19972567,
19973423,
19974923,
19983011,
19989413,
19990811,
19993157,
19993733,
19993951.