First numbers that belong to both sets:
7,
13,
19,
31,
103,
109,
139,
193,
239,
313,
617,
881,
1033,
1093,
1151,
1277,
1303,
1427,
1481,
1487,
1607,
1697,
1933,
2111,
2309,
2339,
2383,
3001,
3301,
3329,
3331,
3371,
3391,
3463,
3673,
3823,
3931,
4127,
4157,
4217,
4271,
4481,
4517,
4721,
5281,
5417,
5477,
5659,
5741,
5879,
6197,
6361,
6661,
6701,
6703,
6763,
6791,
7127,
7309,
7331,
7457,
7547,
7589,
8233,
8597,
8821,
8969,
9001,
9013,
9857,
10009,
10039,
10067,
10093,
10141,
10303,
10333,
10427,
10457,
11159,
11491,
11719,
11941,
11971,
12823,
13003,
13009,
13339,
13679,
13757,
13903,
13933,
14011,
14081,
14321,
14387,
14449,
14549,
14551,
14561,
15641,
15737,
15887,
16063,
16363,
16451,
16633,
17027,
17191,
17207,
17659,
17911,
18041,
18047,
18253,
18523,
19141,
19421,
19699,
19889,
19963,
20147,
20639,
20717,
20771,
20899,
21011,
21491,
21599,
21841,
22273,
22483,
22573,
22621,
22861,
23039,
23369,
23741,
24107,
24181,
24371,
25801,
25849,
26251,
26711,
27107,
27283,
27739,
27793,
28099,
28351,
28411,
28549,
28621,
29389,
30013,
30091,
30137,
30139,
30269,
30391,
30869,
31247,
31393,
31769,
31771,
31847,
32141,
32369,
32411,
32609,
32803,
33071,
33289,
33589,
33829,
34127,
34157,
34211,
34471,
34499,
35053,
35281,
35839,
36343,
36791,
37571,
37691,
38239,
38329,
38609,
38669,
38749,
38923,
39829,
40127,
41231,
41387,
41761,
42017,
42071,
42181,
42283,
42701,
43781,
43789,
44699,
44701,
44773,
45137,
45317,
47057,
47351,
47389,
47699,
47743,
48121,
48311,
48479,
48731,
49121,
49391,
49549,
49739,
49789,
49937,
51347,
51437,
51769,
52183,
52543,
52861,
53147,
53281,
53717,
54419,
54499,
54583,
55621,
57223,
58231,
58393,
58453,
58907,
59219,
59441,
59671,
60661,
60763,
60899,
60917,
61379,
61471,
63029,
63197,
63199,
63601,
63689,
64151,
64303,
64451,
64663,
65521,
65539,
65719,
67139,
67141,
67211,
67217,
67271,
67411,
67577,
67757,
67931,
68111,
68899,
69193,
69497,
69761,
69931.
Some larger examples :
9987851,
9989323,
9990133,
9990731,
9990733,
9990769,
9991141,
9991691,
9993089,
9993167,
9993539,
9993701,
9993703,
9996137,
9997319,
9998203,
9998281,
9998323,
9999161,
9999929.