First numbers that belong to both sets:
5,
17,
29,
53,
71,
101,
149,
257,
269,
311,
347,
593,
599,
739,
821,
853,
937,
1031,
1151,
1277,
1399,
1427,
1847,
1861,
1871,
1973,
1997,
2203,
2333,
2539,
2683,
3167,
3449,
3461,
3527,
3989,
4211,
4217,
4229,
4441,
4447,
4481,
4637,
4783,
4871,
4931,
4967,
5387,
5407,
5413,
5623,
5639,
5651,
6007,
6029,
6037,
6197,
6257,
6263,
6521,
6551,
6653,
6823,
7451,
7457,
7477,
7523,
7537,
8039,
8053,
8081,
8087,
8501,
8513,
8597,
8623,
8663,
9103,
9127,
9133,
9151,
9311,
9391,
9413,
10007,
10037,
10061,
10067,
10133,
10589,
10831,
11047,
11239,
11887,
12373,
12377,
13669,
13679,
13687,
14293,
14321,
15013,
15073,
15259,
16823,
16829,
16871,
16979,
17837,
17881,
17903,
18899,
18911,
19421,
19889,
19913,
19961,
20681,
20717,
20743,
20873,
20897,
21313,
21377,
21467,
21491,
22541,
22619,
22637,
22961,
23003,
23537,
23549,
23557,
23741,
24763,
25147,
25301,
25913,
27427,
27733,
27737,
28277,
28387,
28493,
28591,
29983,
30011,
30059,
30089,
30491,
30671,
30803,
31121,
31147,
31957,
32027,
32051,
32057,
35747,
36451,
36527,
38149,
38167,
38177,
38669,
39079,
40459,
40483,
41011,
41113,
41507,
41513,
41579,
41593,
41603,
41887,
41947,
43573,
43577,
43933,
43943,
43961,
44449,
44491,
45817,
46133,
46439,
47119,
47269,
47279,
47287,
47293,
47491,
47497,
48299,
48407,
48473,
48479,
48751,
48989,
50741,
51197,
51413,
52501,
52511,
52529,
52541,
54269,
54311,
54347,
54361,
54367,
54401,
55619,
55661,
55763,
55793,
56369,
56437,
60589,
60601,
60607,
61253,
61463,
61469,
63299,
63311,
64577,
64601,
64849,
64871,
64877,
64997,
65537,
66293,
66359,
66449,
66841,
66851,
66919,
67033,
67121,
69677,
69737,
69761,
69809,
69821,
69827,
69991,
69997,
70099,
70111,
70117,
70823,
70841,
71143,
71233,
73277,
73303,
73361,
73517,
73523,
73547,
75133,
75149,
75161,
75167,
76463,
77137,
77237,
77261,
79031,
79103,
79531,
79601,
79757,
79769,
79811,
80141.
Some larger examples :
199771309,
199771321,
199784191,
199784251,
199784461,
199880269,
199880489,
199880687,
199880929,
199880953,
199881091,
199882229,
199882387,
199882723,
199882937,
199883539,
199883627,
199883693,
199883767,
199968443.