First numbers that belong to both sets:
823,
857,
859,
1019,
1031,
1277,
1279,
1289,
1301,
1303,
1321,
1429,
1483,
1487,
1667,
1669,
1723,
1871,
1933,
2081,
2083,
2113,
2131,
2143,
2239,
2267,
2269,
2311,
2383,
2549,
2551,
2591,
2593,
2657,
2659,
2687,
2789,
2791,
2801,
2971,
3001,
3119,
3169,
3251,
3253,
3257,
3329,
3331,
3371,
3373,
3389,
3391,
3461,
3463,
3467,
3469,
3557,
3559,
3581,
3583,
3671,
3673,
3767,
3821,
3851,
3853,
3919,
3929,
4021,
4049,
4051,
4091,
4093,
4157,
4159,
4217,
4219,
4229,
4231,
4261,
4271,
4273,
4339,
4421,
4423,
4517,
4519,
4547,
4549,
4637,
4649,
4651,
4787,
4789,
4799,
4801,
4931,
4933,
4967,
4969,
5009,
5021,
5231,
5233,
5417,
5419,
5441,
5443,
5477,
5479,
5501,
5503,
5519,
5521,
5639,
5641,
5651,
5653,
5657,
5659,
5741,
5743,
5849,
5851,
5867,
5879,
5881,
6091,
6131,
6133,
6197,
6199,
6269,
6271,
6299,
6301,
6359,
6361,
6449,
6451,
6551,
6553,
6569,
6571,
6659,
6661,
6691,
6701,
6703,
6761,
6779,
6781,
6793,
6829,
6869,
6871,
6947,
6949,
6959,
6961,
7127,
7129,
7211,
7213,
7307,
7309,
7331,
7333,
7349,
7351,
7457,
7459,
7489,
7547,
7559,
7561,
7589,
7591,
7757,
7759,
7877,
7879,
7949,
7951,
8009,
8011,
8087,
8089,
8219,
8221,
8231,
8233,
8291,
8293,
8387,
8389,
8429,
8431,
8537,
8539,
8597,
8599,
8627,
8629,
8819,
8821,
8837,
8839,
8861,
8863,
8969,
8971,
8999,
9001,
9011,
9013,
9041,
9043,
9239,
9241,
9281,
9283,
9341,
9343,
9419,
9421,
9431,
9433,
9437,
9439,
9461,
9463,
9629,
9677,
9679,
9719,
9721,
9767,
9769,
9857,
9859,
9929,
9931,
10007,
10009,
10037,
10039,
10067,
10069,
10091,
10093,
10139,
10141,
10271,
10273,
10301,
10303,
10331,
10333,
10427,
10429,
10457,
10459,
10499,
10501,
10529,
10531,
10709,
10711,
10859,
10861,
10889,
10891,
10937,
10939,
11057,
11071,
11117,
11119,
11159.
Some larger examples :
28751,
28753,
29021,
29023,
29129,
29131,
29207,
29209,
29387,
29389,
29399,
29401,
29567,
29569,
29669,
29671,
29759,
29761,
29879,
29881.