First numbers that belong to both sets:
3,
7,
31,
233,
389,
547,
839,
883,
1021,
1109,
1559,
1627,
1873,
2099,
2213,
2593,
3023,
3067,
3089,
3517,
3583,
3673,
3853,
3919,
4057,
4079,
4483,
4663,
4909,
4933,
5653,
5743,
6011,
6329,
6553,
6619,
6709,
6911,
7001,
7027,
7879,
8599,
9343,
9433,
9521,
9679,
9769,
9791,
9859,
9949,
10111,
10223,
10513,
10739,
11213,
11279,
11503,
11527,
12113,
12269,
12517,
12763,
12853,
12919,
13009,
13619,
13933,
13999,
14159,
14563,
15149,
15643,
15733,
15823,
15889,
16273,
16363,
16453,
16633,
17419,
17599,
17891,
17959,
17981,
18253,
18523,
18679,
18701,
19219,
19309,
19333,
19423,
19489,
20369,
20773,
21023,
21067,
21247,
21493,
21943,
22079,
22349,
22483,
22573,
23203,
23227,
23293,
23339,
23473,
23563,
23743,
23833,
23899,
24373,
24709,
24799,
24821,
24889,
24979,
25609,
26263,
26959,
27409,
27701,
28219,
28309,
28579,
28669,
28759,
28871,
28961,
29209,
29389,
29411,
29501,
29569,
29927,
30113,
30403,
30493,
30517,
30539,
30763,
30853,
31237,
31259,
31393,
31573,
32069,
32429,
32563,
32653,
32719,
32833,
33037,
33619,
34183,
34273,
34319,
34519,
35083,
35509,
35533,
35869,
36073,
36319,
36343,
37309,
37423,
37511,
37579,
38053,
38119,
38321,
38501,
38569,
38749,
38839,
39043,
39199,
39581,
39671,
39829,
40169,
41203,
42239,
42283,
42463,
42643,
42709,
43117,
43543,
43609,
43633,
43721,
43789,
43991,
44533,
44623,
44711,
45319,
45343,
45589,
46153,
46309,
46511,
46601,
46691,
47389,
47501,
47569,
47659,
47951,
48491,
48649,
48761,
49033,
49123,
49211,
49279,
49369,
49481,
49549,
49639,
50159,
52027,
52183,
52363,
52543,
53129,
53173,
53419,
53891,
53959,
54499,
54521,
54679,
54881,
54949,
55219,
55333,
55511,
55849,
56053,
56209,
56479,
56929,
57223,
57559,
58211,
58369,
58481,
58549,
58661,
58997,
59359,
59561,
59629,
60103,
60149,
60821,
60889,
61363,
61519,
61879,
61991,
62219,
62801,
63499,
63589,
63611,
63949,
64153,
64333,
64489,
64579,
65839,
65929,
66109,
66739.
Some larger examples :
99991303,
99991999,
99992449,
99992539,
99993349,
99993463,
99993799,
99994183,
99995869,
99995957,
99996139,
99996521,
99996679,
99996947,
99997129,
99997691,
99998299,
99999131,
99999401,
99999827.