First numbers that belong to both sets:
2,
3,
5,
11,
23,
29,
41,
53,
83,
89,
113,
131,
173,
179,
191,
233,
239,
251,
281,
293,
359,
419,
431,
443,
491,
509,
593,
641,
653,
659,
683,
719,
743,
761,
809,
911,
953,
1013,
1019,
1031,
1049,
1103,
1223,
1229,
1289,
1409,
1439,
1451,
1481,
1499,
1511,
1559,
1583,
1601,
1733,
1811,
1889,
1901,
1931,
1973,
2003,
2039,
2063,
2069,
2129,
2141,
2273,
2339,
2351,
2393,
2399,
2459,
2543,
2549,
2693,
2699,
2741,
2753,
2819,
2903,
2939,
2963,
2969,
3023,
3299,
3329,
3359,
3389,
3413,
3449,
3491,
3539,
3593,
3623,
3761,
3779,
3803,
3821,
3851,
3863,
3911,
4019,
4073,
4211,
4271,
4349,
4373,
4391,
4409,
4481,
4733,
4793,
4871,
4919,
4943,
5003,
5039,
5051,
5081,
5171,
5231,
5279,
5303,
5333,
5399,
5441,
5501,
5639,
5711,
5741,
5849,
5903,
6053,
6101,
6113,
6131,
6173,
6263,
6269,
6323,
6329,
6449,
6491,
6521,
6551,
6563,
6581,
6761,
6899,
6983,
7043,
7079,
7103,
7121,
7151,
7193,
7211,
7349,
7433,
7541,
7643,
7649,
7691,
7823,
7841,
7883,
7901,
8069,
8093,
8111,
8243,
8273,
8513,
8663,
8693,
8741,
8951,
8969,
9029,
9059,
9221,
9293,
9371,
9419,
9473,
9479,
9539,
9629,
9689,
9791,
10061,
10091,
10163,
10253,
10271,
10313,
10331,
10529,
10589,
10613,
10691,
10709,
10733,
10781,
10799,
10883,
11171,
11321,
11369,
11393,
11471,
11519,
11549,
11579,
11699,
11783,
11801,
11813,
11831,
11909,
11939,
12011,
12041,
12101,
12119,
12203,
12263,
12329,
12653,
12671,
12791,
12821,
12899,
12923,
12959,
13001,
13049,
13229,
13313,
13451,
13463,
13553,
13619,
13649,
13763,
13883,
13901,
13913,
14009,
14081,
14153,
14159,
14249,
14303,
14321,
14489,
14561,
14621,
14669,
14699,
14741,
14783,
14831,
14879,
14939,
15101,
15161,
15173,
15233,
15269,
15401,
15569,
15629,
15773,
15791,
15803,
15923,
16001,
16091,
16253.
Some larger examples :
9993701,
9993911,
9994091,
9994349,
9994613,
9994871,
9995519,
9995669,
9996209,
9996659,
9996803,
9996809,
9997133,
9997661,
9998273,
9998633,
9998699,
9998903,
9999299,
9999653.