First numbers that belong to both sets:
383,
443,
491,
761,
839,
941,
971,
983,
1493,
1499,
1553,
1571,
1601,
1811,
2207,
2477,
2753,
3041,
3083,
3137,
3221,
3593,
3677,
3701,
3797,
3803,
3863,
4099,
4219,
4273,
4373,
4493,
4643,
4793,
4817,
4919,
4973,
5153,
5309,
5507,
5573,
5881,
5927,
6053,
6221,
6581,
7043,
7541,
7643,
7649,
8093,
8171,
8543,
8609,
8693,
8741,
8753,
8783,
8807,
8933,
9137,
9257,
9293,
9323,
9551,
9743,
9749,
9887,
10181,
10259,
10337,
11087,
11261,
11491,
11597,
11927,
12149,
12437,
12641,
12671,
13037,
13697,
14033,
14153,
14177,
14207,
14327,
14537,
14657,
14717,
14759,
14771,
14831,
14891,
14897,
15107,
15149,
15671,
15881,
16481,
16661,
16673,
17033,
17321,
17627,
17737,
17981,
18149,
18257,
19037,
19163,
19237,
19763,
19937,
20177,
20327,
20369,
20393,
20753,
21149,
21401,
21407,
21617,
22031,
22067,
22511,
22643,
22811,
22877,
23677,
23753,
23981,
24083,
24251,
24281,
24443,
24767,
24809,
25037,
25097,
25121,
25127,
25457,
25703,
25919,
26003,
26237,
26423,
26437,
27017,
27617,
28031,
28163,
28433,
28499,
28607,
28703,
28817,
28871,
28961,
29027,
29033,
29137,
29231,
29429,
29531,
29537,
29837,
29921,
30347,
30593,
30677,
30707,
30881,
30893,
30911,
31091,
31193,
31237,
31259,
31277,
31337,
31397,
31481,
31517,
31547,
31607,
31751,
31799,
31817,
31907,
31991,
32069,
32099,
32237,
32327,
32381,
32429,
32507,
32537,
32573,
32579,
32621,
32843,
32987,
33029,
33037,
33203,
33317,
33581,
33647,
33863,
34033,
34061,
34217,
34337,
34369,
34439,
34607,
34703,
34781,
34819,
35027,
35159,
35171,
35257,
35291,
35327,
35537,
35759,
35879,
36017,
36137,
36161,
36191,
36251,
36269,
36277,
36457,
36473,
36479,
36497,
36571,
36587,
36607,
36653,
36697,
36767,
36857,
36877,
36887,
36923,
36931,
36947,
36979,
37003,
37021,
37061,
37097,
37139,
37253,
37313,
37379,
37409,
37447,
37579,
37619,
37649,
37853,
37879,
37967,
38153,
38189,
38201,
38393,
38453,
38639,
38933,
38993,
39107.
Some larger examples :
994667,
994913,
995009,
995719,
995747,
995801,
996161,
996263,
996329,
996899,
997589,
998117,
998243,
998561,
998969,
999149,
999331,
999563,
999773,
999931.