First numbers that belong to both sets:
5,
17,
29,
37,
53,
59,
67,
71,
97,
223,
311,
347,
593,
599,
733,
739,
853,
937,
967,
1367,
1997,
2333,
2339,
2647,
2683,
3167,
4967,
5647,
6197,
6547,
6653,
6823,
6947,
7523,
8167,
9337,
9397,
9613,
16547,
16823,
27673,
38167,
61283,
62467,
66337,
73547,
73939,
75167,
92347,
94397,
98317,
279397,
293999,
363313,
463823,
659467,
1384673,
2375743,
2433967,
3872647,
8373823,
8675743,
13294397,
99537547.