First numbers that belong to both sets:
1,
127,
251,
331,
701,
757,
809,
877,
905,
959,
997,
1019,
1087,
1199,
1207,
1211,
1243,
1259,
1549,
1597,
1657,
1759,
1777,
1783,
1807,
1867,
1927,
1969,
2171,
2213,
2231,
2263,
2279,
2293,
2377,
2465,
2503,
2579,
2669,
2789,
2843,
2879,
2993,
2999,
3119,
3163,
3181,
3187,
3215,
3239,
3299,
3343,
3433,
3505,
3637,
3697,
3779,
3877,
3967,
3985,
4001,
4013,
4063,
4153,
4195,
4271,
4311,
4327,
4503,
4543,
4633,
4649,
4663,
4717,
4781,
4811,
4813,
4841,
4855,
5099,
5323,
5405,
5731,
5737,
5755,
5761,
5771,
5923,
6021,
6073,
6193,
6247,
6403,
6433,
6463,
6535,
6539,
6547,
6637,
6659,
6673,
6731,
6757,
6791,
6821,
6853,
7151,
7177,
7267,
7297,
7331,
7343,
7387,
7389,
7393,
7405,
7417,
7431,
7517,
7603,
7747,
7753,
7783,
7807,
7811,
7813,
7841,
7913,
8031,
8111,
8257,
8287,
8387,
8399,
8411,
8429,
8467,
8527,
8563,
8621,
8831,
8849,
8861,
8915,
8921,
9101,
9307,
9371,
9457,
9517,
9557,
9613,
9641,
9929,
9959,
10021,
10121,
10235,
10237,
10253,
10327,
10357,
10391,
10451,
10511,
10513,
10553,
10607,
10619,
10697,
10781,
10949,
11015,
11039,
11069,
11081,
11105,
11141,
11207,
11219,
11231,
11279,
11317,
11335,
11347,
11411,
11533,
11541,
11579,
11593,
11627,
11743,
11771,
11789,
11801,
11857,
11909,
11921,
11993,
12131,
12191,
12233,
12239,
12251,
12431,
12479,
12517,
12595,
12727,
12731,
12733,
12805,
12877,
12929,
12941,
13001,
13091,
13093,
13147,
13217,
13285,
13297,
13351,
13451,
13589,
13603,
13735,
13859,
13897,
13961,
14009,
14023,
14047,
14051,
14077,
14107,
14143,
14227,
14249,
14375,
14381,
14407,
14437,
14459,
14489,
14531,
14533,
14585,
14605,
14611,
14639,
14765,
14809,
14879,
14917,
14921,
14975,
14981,
15041,
15059,
15071,
15101,
15113,
15119,
15121,
15127,
15149,
15161,
15187,
15217,
15223,
15299,
15349,
15359,
15373,
15401,
15419,
15521,
15551,
15607.
Some larger examples :
99999239,
99999253,
99999313,
99999383,
99999431,
99999479,
99999491,
99999505,
99999617,
99999641,
99999703,
99999733,
99999749,
99999761,
99999787,
99999809,
99999839,
99999857,
99999883,
99999897.