First numbers that belong to both sets:
5,
11,
17,
37,
41,
59,
67,
97,
127,
179,
191,
223,
227,
251,
257,
307,
331,
419,
431,
541,
557,
563,
569,
587,
641,
727,
733,
809,
929,
967,
1009,
1087,
1213,
1367,
1423,
1543,
1597,
1867,
1987,
1993,
2063,
2237,
2267,
2339,
2521,
2531,
2609,
2647,
2657,
2677,
3163,
3251,
3299,
3433,
3457,
3847,
3907,
4001,
4201,
4507,
4621,
4903,
5381,
5647,
6547,
6563,
6659,
6689,
6761,
6947,
8167,
8209,
8219,
8521,
8677,
8689,
8999,
9277,
9319,
9337,
9371,
9397,
9613,
10597,
10853,
11057,
11657,
11777,
12239,
12473,
12487,
12889,
14369,
14387,
14401,
14407,
14533,
15227,
16411,
16417,
16547,
16811,
17291,
17317,
17377,
17827,
19001,
19139,
19207,
20707,
20849,
21139,
21487,
21557,
22531,
22613,
22691,
22697,
23531,
24841,
24907,
24917,
25087,
25111,
25117,
25537,
26669,
26681,
27397,
27611,
27673,
27689,
28403,
28537,
28571,
28597,
29833,
30631,
30637,
30757,
32969,
33287,
33311,
33329,
34123,
35729,
35831,
36433,
36671,
38113,
38593,
38651,
39089,
40423,
40427,
40693,
40697,
40751,
40759,
40813,
40819,
41039,
41131,
41141,
41177,
45943,
46091,
46399,
47051,
47087,
47111,
48311,
48463,
48731,
48757,
48973,
49103,
50821,
50833,
51131,
51193,
51329,
51341,
54251,
55787,
56431,
58889,
58897,
61211,
61283,
61331,
61441,
62459,
62467,
63277,
64567,
65099,
65353,
65537,
66337,
66343,
66457,
66697,
69653,
70001,
70913,
73327,
73939,
73999,
74017,
74131,
74687,
77471,
79087,
79549,
79801,
80447,
80599,
84053,
84121,
86011,
86069,
88807,
91807,
92107,
92143,
92173,
92297,
92353,
92623,
93851,
93887,
97367,
98179,
98317,
98407,
98867,
98887,
98893,
100333,
100357,
101111,
103387,
104459,
106087,
106163,
106187,
106207,
108791,
108863,
110419,
110431,
110477,
110557,
111467,
111487,
113011,
114451,
114467,
114547,
114593,
114599,
119503,
119533,
119611,
120661,
120811,
127207,
127579,
127591,
127597,
128339,
131431,
131437,
131671,
131687,
131701,
132229,
132491,
132607.
Some larger examples :
9928859,
9930997,
9931219,
9931277,
9932303,
9932387,
9983929,
9983971,
9983977,
9984059,
9990457,
9990727,
9990731,
9990767,
9990797,
9992483,
9992621,
9992681,
9993223,
9993337.