First numbers that belong to both sets:
1,
127,
149,
251,
331,
337,
373,
509,
599,
701,
757,
809,
877,
907,
959,
977,
997,
1019,
1087,
1199,
1207,
1211,
1243,
1259,
1271,
1529,
1541,
1549,
1589,
1597,
1619,
1649,
1657,
1759,
1777,
1783,
1807,
1829,
1867,
1927,
1969,
1973,
1985,
2171,
2203,
2213,
2231,
2263,
2279,
2293,
2377,
2429,
2465,
2503,
2579,
2669,
2683,
2789,
2843,
2879,
2909,
2983,
2993,
2999,
3029,
3119,
3149,
3163,
3181,
3187,
3215,
3239,
3299,
3341,
3343,
3353,
3431,
3433,
3539,
3637,
3643,
3665,
3697,
3739,
3779,
3817,
3845,
3877,
3967,
3985,
4001,
4013,
4151,
4153,
4195,
4229,
4271,
4327,
4543,
4567,
4573,
4589,
4633,
4649,
4663,
4691,
4717,
4781,
4811,
4813,
4841,
4843,
4889,
5077,
5099,
5143,
5303,
5323,
5557,
5609,
5617,
5729,
5731,
5737,
5761,
5771,
5917,
5923,
5951,
6001,
6065,
6073,
6119,
6161,
6173,
6193,
6247,
6269,
6283,
6403,
6433,
6449,
6463,
6509,
6521,
6535,
6539,
6547,
6637,
6659,
6673,
6731,
6791,
6821,
6869,
6883,
6941,
7109,
7151,
7169,
7177,
7199,
7289,
7297,
7319,
7331,
7343,
7379,
7387,
7393,
7417,
7431,
7517,
7547,
7583,
7603,
7747,
7753,
7783,
7799,
7807,
7811,
7813,
7841,
7867,
7901,
7913,
8023,
8087,
8111,
8159,
8257,
8287,
8363,
8387,
8399,
8411,
8429,
8467,
8527,
8563,
8587,
8621,
8669,
8719,
8789,
8831,
8849,
8861,
8873,
8887,
8915,
8921,
8923,
8929,
8981,
9101,
9115,
9239,
9307,
9371,
9391,
9431,
9473,
9517,
9521,
9557,
9569,
9613,
9787,
9809,
9907,
9929,
9941,
9959,
10001,
10007,
10021,
10027,
10061,
10079,
10199,
10235,
10237,
10253,
10327,
10357,
10379,
10391,
10409,
10447,
10451,
10483,
10511,
10513,
10553,
10607,
10619,
10697,
10753,
10777,
10781,
10873,
10949,
10963,
11015,
11023,
11039,
11069,
11083,
11141,
11171,
11207,
11219,
11227,
11231,
11239,
11279,
11317,
11335.
Some larger examples :
9999553,
9999569,
9999607,
9999613,
9999619,
9999637,
9999703,
9999727,
9999749,
9999761,
9999791,
9999809,
9999817,
9999823,
9999851,
9999869,
9999929,
9999943,
9999967,
9999997.