First numbers that belong to both sets:
31,
107,
337,
739,
769,
1031,
1061,
1069,
1181,
1231,
1381,
1453,
1471,
1487,
1619,
1669,
1831,
1847,
1901,
3011,
3019,
3163,
3169,
3319,
3343,
3347,
3359,
3371,
3373,
3389,
3391,
3469,
3719,
3851,
7219,
7229,
7481,
7681,
7817,
7841,
9547,
9769,
9781,
9931,
10069,
10499,
10613,
10639,
10651,
10711,
10739,
10781,
10889,
10891,
11719,
11731,
11969,
11981,
12119,
12269,
12373,
12619,
12689,
12697,
12919,
13469,
13619,
13781,
14081,
14431,
14519,
14821,
14831,
15131,
15511,
15731,
15919,
16481,
17203,
17209,
17491,
17519,
17627,
17669,
17681,
18169,
18269,
18719,
18731,
19001,
19013,
19181,
19219,
19231,
19471,
19489,
19531,
19681,
19813,
30319,
30649,
30881,
30931,
31069,
31081,
31481,
31531,
31799,
31981,
32189,
32369,
32467,
32531,
32537,
32579,
32869,
33181,
33199,
33223,
33287,
33301,
33317,
33329,
33391,
33461,
33589,
33617,
33623,
33641,
33751,
33767,
33809,
33811,
33857,
33863,
33911,
33931,
34031,
34469,
34471,
34513,
34781,
34919,
34963,
35069,
35201,
35267,
35281,
35381,
35419,
35437,
35531,
35569,
35729,
35969,
36131,
36209,
36269,
36761,
36931,
37309,
37619,
37781,
37831,
38011,
38119,
38219,
38239,
38329,
38639,
39119,
39419,
39511,
39581,
39631,
39869,
70079,
70381,
70969,
71069,
71171,
71387,
71471,
71503,
71569,
72481,
72869,
73331,
73369,
73681,
73819,
74131,
74357,
74573,
74869,
74873,
75169,
75431,
75539,
75731,
75781,
75869,
76157,
76231,
76471,
76487,
76819,
76919,
77081,
77101,
77369,
77431,
77471,
78139,
78163,
78179,
78233,
78259,
78283,
78317,
78341,
78367,
78401,
78569,
78623,
78779,
78781,
79111,
79231,
79319,
79411,
79451,
79531,
79537,
79631,
79669,
79757,
79769,
79873,
90019,
90031,
90059,
90127,
90731,
90821,
90917,
91631,
91781,
91951,
91967,
92119,
92219,
92369,
92381,
92831,
93481,
93503,
93581,
93601,
93941,
94169,
94219,
94261,
94351,
94399,
94781,
95111,
95131,
95203,
95231,
95287,
95419,
95549,
95731,
95881,
95929,
96181,
96281,
96377,
96431.
Some larger examples :
9993769,
9994333,
9994769,
9995119,
9995329,
9995407,
9995519,
9995581,
9995987,
9996667,
9996781,
9996859,
9998239,
9998281,
9998381,
9998903,
9999193,
9999337,
9999419,
9999931.