First numbers that belong to both sets:
11,
17,
37,
41,
59,
67,
79,
97,
107,
127,
137,
179,
191,
223,
227,
239,
251,
307,
331,
367,
379,
397,
419,
431,
439,
457,
487,
499,
521,
541,
557,
569,
587,
613,
617,
631,
641,
659,
701,
719,
727,
757,
769,
787,
809,
827,
877,
929,
967,
1009,
1087,
1163,
1213,
1249,
1301,
1361,
1423,
1447,
1451,
1543,
1549,
1567,
1597,
1657,
1667,
1693,
1697,
1721,
1741,
1777,
1801,
1867,
1877,
1931,
1987,
1993,
2053,
2063,
2081,
2087,
2111,
2137,
2153,
2237,
2267,
2293,
2339,
2371,
2377,
2411,
2437,
2459,
2503,
2521,
2531,
2579,
2591,
2609,
2647,
2657,
2711,
2741,
2789,
2801,
2819,
2833,
2969,
3011,
3079,
3109,
3119,
3163,
3181,
3187,
3203,
3217,
3251,
3257,
3299,
3343,
3371,
3433,
3457,
3467,
3491,
3607,
3613,
3659,
3697,
3719,
3761,
3793,
3847,
3851,
3877,
3907,
4001,
4091,
4153,
4201,
4259,
4271,
4283,
4327,
4421,
4507,
4513,
4621,
4649,
4729,
4751,
4787,
4813,
4903,
4999,
5167,
5189,
5227,
5323,
5347,
5381,
5441,
5477,
5647,
5683,
5689,
5737,
5779,
5801,
5857,
5923,
6163,
6211,
6217,
6247,
6299,
6311,
6337,
6547,
6563,
6569,
6577,
6659,
6673,
6689,
6701,
6733,
6761,
6791,
6857,
6947,
7039,
7057,
7103,
7151,
7177,
7207,
7211,
7243,
7297,
7307,
7321,
7331,
7393,
7681,
7687,
7699,
7717,
7753,
7817,
7873,
7919,
7927,
7933,
8111,
8167,
8209,
8219,
8231,
8263,
8269,
8287,
8291,
8311,
8387,
8429,
8461,
8521,
8563,
8627,
8641,
8677,
8689,
8819,
8837,
8861,
8963,
8969,
8999,
9011,
9059,
9157,
9277,
9319,
9337,
9371,
9419,
9511,
9547,
9601,
9613,
9619,
9733,
9767,
9781,
9803,
9811,
9829,
9857,
9923,
9929,
10177,
10271,
10289,
10301,
10313,
10331,
10357,
10391,
10453,
10457,
10499,
10529,
10597,
10781,
10949,
11027,
11057,
11273,
11317.
Some larger examples :
9998623,
9998699,
9998749,
9998777,
9998797,
9998969,
9999047,
9999071,
9999161,
9999193,
9999217,
9999419,
9999463,
9999511,
9999593,
9999739,
9999823,
9999901,
9999929,
9999971.