First numbers that belong to both sets:
431,
461,
521,
821,
827,
1049,
1481,
1487,
1871,
1931,
2153,
2591,
2609,
3037,
3251,
3257,
3329,
3371,
3581,
3659,
3697,
3719,
3761,
3767,
3793,
3821,
4049,
4091,
4127,
4157,
4241,
4253,
4271,
4283,
4349,
4649,
4871,
4931,
4967,
5147,
5231,
5297,
5477,
5639,
6037,
6113,
6389,
6551,
6637,
6659,
6997,
7331,
7487,
8147,
8231,
8597,
8663,
8819,
8837,
9041,
9221,
9341,
9371,
9419,
9437,
9587,
9851,
10037,
10331,
10357,
10847,
10937,
11057,
11483,
11549,
11777,
12037,
12041,
12107,
13217,
13259,
13709,
13997,
14051,
14321,
14369,
14387,
14591,
14621,
14627,
14699,
14813,
14843,
14867,
14879,
14939,
15053,
15137,
15187,
15227,
15299,
15641,
15737,
15887,
16001,
16217,
16811,
17021,
17027,
17093,
17207,
17387,
17657,
17681,
17707,
17921,
17987,
18077,
18131,
18143,
18251,
18287,
18671,
19181,
19259,
19709,
19793,
19853,
20147,
20357,
20477,
20507,
20627,
20681,
20717,
20807,
20921,
20981,
21017,
21059,
21317,
21467,
21587,
21611,
21701,
21737,
21767,
22037,
22271,
22481,
22709,
22937,
23537,
23627,
23687,
24317,
24611,
24917,
25031,
25307,
25367,
25439,
25577,
25841,
25847,
25931,
26111,
26153,
26309,
26489,
26951,
26981,
27031,
27281,
27611,
28097,
28109,
28181,
28211,
28277,
28307,
28537,
28547,
28661,
28697,
28751,
28859,
29021,
29101,
29147,
29201,
29207,
29243,
29327,
29387,
29399,
29437,
29741,
29753,
29819,
30137,
30307,
30697,
30703,
30851,
30937,
31147,
31181,
31247,
31307,
31387,
31391,
31469,
31511,
31687,
31721,
31727,
31769,
31847,
32027,
32051,
32057,
32117,
32141,
32159,
32321,
32369,
32377,
32467,
32531,
32561,
32687,
32717,
32801,
32831,
32909,
32939,
32957,
33071,
33107,
33179,
33287,
33587,
33637,
33703,
33713,
33749,
33851,
33911,
33937,
33997,
34031,
34211,
34259,
34367,
34403,
34421,
34511,
34537,
34757,
34847,
35051,
35081,
35099,
35107,
35141,
35381,
35437,
35447,
35507,
35591,
35837,
35897,
35951,
35977,
36131,
36187,
36209,
36293,
36467.
Some larger examples :
995783,
996011,
996167,
996293,
996361,
996461,
996629,
996647,
996803,
997121,
997583,
998027,
998273,
998471,
998513,
999023,
999269,
999359,
999623,
999953.