First numbers that belong to both sets:
173,
383,
431,
443,
461,
491,
521,
563,
761,
821,
827,
839,
941,
971,
983,
1049,
1481,
1487,
1493,
1499,
1553,
1571,
1601,
1811,
1871,
1931,
2153,
2207,
2477,
2591,
2609,
2753,
3037,
3041,
3083,
3137,
3221,
3251,
3257,
3307,
3329,
3371,
3581,
3593,
3659,
3677,
3697,
3701,
3719,
3733,
3761,
3767,
3793,
3797,
3803,
3821,
3863,
4049,
4091,
4099,
4127,
4157,
4219,
4241,
4253,
4271,
4273,
4283,
4349,
4373,
4409,
4493,
4597,
4643,
4649,
4793,
4817,
4871,
4919,
4931,
4967,
4973,
5147,
5153,
5231,
5297,
5303,
5309,
5393,
5477,
5507,
5573,
5639,
5881,
5927,
6037,
6053,
6113,
6221,
6389,
6551,
6581,
6637,
6659,
6977,
6997,
7043,
7331,
7487,
7541,
7643,
7649,
8093,
8147,
8171,
8231,
8543,
8597,
8609,
8663,
8693,
8741,
8753,
8783,
8807,
8819,
8837,
8933,
9041,
9137,
9221,
9257,
9293,
9323,
9341,
9371,
9419,
9437,
9551,
9587,
9743,
9749,
9851,
9887,
10037,
10181,
10259,
10331,
10337,
10357,
10607,
10847,
10853,
10937,
11057,
11087,
11261,
11483,
11491,
11549,
11597,
11777,
11927,
12037,
12041,
12107,
12149,
12437,
12641,
12653,
12671,
13037,
13217,
13259,
13697,
13709,
13997,
14033,
14051,
14153,
14177,
14207,
14321,
14327,
14369,
14387,
14537,
14591,
14621,
14627,
14657,
14699,
14717,
14747,
14759,
14771,
14813,
14831,
14843,
14867,
14879,
14891,
14897,
14939,
15053,
15107,
15137,
15149,
15187,
15227,
15299,
15641,
15671,
15737,
15881,
15887,
16001,
16217,
16481,
16661,
16673,
16811,
16937,
16987,
17021,
17027,
17033,
17093,
17207,
17321,
17327,
17387,
17477,
17627,
17657,
17681,
17707,
17737,
17921,
17981,
17987,
18077,
18131,
18143,
18149,
18251,
18257,
18287,
18671,
19037,
19163,
19181,
19237,
19259,
19577,
19709,
19763,
19793,
19853,
19937,
20147,
20177,
20327,
20357,
20369,
20393,
20477,
20507,
20627,
20681,
20717,
20753,
20807,
20921,
20981,
21017,
21059,
21149,
21317,
21401.
Some larger examples :
997583,
997589,
998027,
998117,
998243,
998273,
998471,
998513,
998561,
998969,
999023,
999149,
999269,
999331,
999359,
999563,
999623,
999773,
999931,
999953.