First numbers that belong to both sets:
127,
251,
331,
701,
757,
809,
877,
905,
997,
1087,
1199,
1207,
1211,
1243,
1259,
1549,
1597,
1657,
1777,
1807,
1867,
1927,
1969,
2171,
2213,
2231,
2263,
2279,
2293,
2377,
2465,
2503,
2579,
2669,
2789,
2843,
2993,
3119,
3163,
3181,
3187,
3215,
3239,
3299,
3343,
3433,
3505,
3637,
3697,
3779,
3877,
3967,
3985,
4001,
4063,
4153,
4195,
4271,
4311,
4327,
4503,
4633,
4649,
4663,
4717,
4781,
4811,
4813,
4841,
5323,
5405,
5731,
5737,
5761,
5771,
5923,
6021,
6193,
6247,
6403,
6433,
6535,
6539,
6547,
6659,
6673,
6731,
6757,
6791,
6821,
6853,
7151,
7177,
7267,
7297,
7331,
7393,
7431,
7747,
7753,
7807,
7811,
7813,
7841,
8031,
8111,
8257,
8287,
8387,
8399,
8411,
8429,
8467,
8527,
8563,
8621,
8849,
8861,
8915,
8921,
9101,
9307,
9371,
9457,
9517,
9557,
9613,
9641,
9929,
10021,
10121,
10235,
10237,
10253,
10327,
10357,
10391,
10451,
10511,
10513,
10553,
10697,
10781,
10949,
11015,
11081,
11105,
11141,
11231,
11279,
11317,
11335,
11347,
11411,
11533,
11541,
11593,
11743,
11771,
11789,
11801,
11857,
11909,
11921,
12191,
12239,
12251,
12431,
12517,
12595,
12805,
12877,
12929,
12941,
13001,
13091,
13093,
13217,
13351,
13451,
13589,
13603,
13859,
13897,
13961,
14047,
14077,
14143,
14375,
14381,
14407,
14437,
14489,
14531,
14533,
14605,
14611,
14917,
14921,
14975,
14981,
15041,
15071,
15101,
15113,
15121,
15223,
15349,
15359,
15373,
15401,
15521,
15551,
15607,
15853,
15997,
16031,
16109,
16117,
16361,
16507,
16543,
16559,
16629,
16727,
16783,
16867,
17039,
17047,
17077,
17089,
17113,
17137,
17229,
17257,
17305,
17429,
17467,
17489,
17579,
17593,
17669,
17735,
17827,
17861,
17977,
18033,
18089,
18211,
18307,
18427,
18487,
18565,
18611,
18613,
18637,
18787,
18817,
18889,
18897,
18959,
18971,
19057,
19093,
19139,
19273,
19345,
19361,
19483,
20113,
20287,
20383,
20467,
20617,
20623,
20651,
20653,
20693,
20707,
21037.
Some larger examples :
9999311,
9999407,
9999453,
9999463,
9999487,
9999517,
9999539,
9999607,
9999613,
9999727,
9999775,
9999791,
9999817,
9999823,
9999851,
9999929,
9999943,
9999967,
9999983,
9999997.