First numbers that belong to both sets:
127,
149,
373,
509,
599,
701,
757,
877,
905,
959,
997,
1087,
1199,
1207,
1271,
1477,
1541,
1549,
1589,
1597,
1649,
1719,
1759,
1783,
1807,
1829,
1927,
1973,
2213,
2231,
2263,
2279,
2293,
2429,
2465,
2503,
2669,
2789,
2879,
2909,
2983,
2999,
3029,
3119,
3149,
3181,
3215,
3239,
3341,
3343,
3431,
3433,
3637,
3845,
3877,
3967,
3985,
4013,
4063,
4151,
4229,
4271,
4311,
4327,
4503,
4543,
4567,
4573,
4589,
4633,
4649,
4663,
4717,
4781,
4813,
4841,
4843,
4855,
4889,
5077,
5125,
5143,
5303,
5405,
5467,
5557,
5917,
5951,
6001,
6021,
6065,
6073,
6119,
6173,
6247,
6269,
6463,
6509,
6535,
6637,
6757,
6791,
6821,
6853,
6869,
6941,
7109,
7151,
7199,
7289,
7319,
7343,
7389,
7405,
7417,
7431,
7517,
7535,
7583,
7747,
7783,
7799,
7807,
7813,
7901,
8023,
8031,
8087,
8111,
8141,
8159,
8287,
8399,
8429,
8527,
8621,
8669,
8719,
8789,
8831,
8861,
8887,
8981,
9101,
9239,
9391,
9431,
9517,
9521,
9557,
9581,
9613,
9641,
9809,
9941,
9959,
10001,
10007,
10021,
10061,
10079,
10199,
10237,
10253,
10327,
10357,
10391,
10447,
10511,
10553,
10607,
10619,
10777,
10781,
10949,
11015,
11023,
11039,
11069,
11141,
11207,
11231,
11239,
11279,
11285,
11317,
11335,
11437,
11533,
11541,
11549,
11695,
11743,
11789,
11909,
12007,
12191,
12223,
12239,
12373,
12431,
12479,
12517,
12595,
12671,
12727,
12733,
12749,
12791,
12805,
12877,
12929,
12941,
13093,
13169,
13285,
13351,
13469,
13589,
13679,
13735,
13799,
13841,
13901,
13973,
14021,
14023,
14039,
14047,
14077,
14101,
14141,
14143,
14231,
14279,
14303,
14375,
14381,
14383,
14407,
14437,
14531,
14533,
14605,
14639,
14765,
14879,
14917,
14975,
14981,
15013,
15037,
15071,
15101,
15119,
15127,
15149,
15223,
15247,
15349,
15359,
15373,
15551,
15607,
15701,
15719,
15853,
15869,
15943,
15957,
15997,
16013,
16031,
16109,
16117,
16165,
16181,
16213,
16405,
16409.
Some larger examples :
9999431,
9999453,
9999455,
9999463,
9999487,
9999517,
9999607,
9999613,
9999637,
9999703,
9999727,
9999749,
9999775,
9999791,
9999823,
9999869,
9999943,
9999967,
9999983,
9999997.