First numbers that belong to both sets:
13,
17,
31,
71,
73,
107,
149,
179,
199,
311,
347,
1021,
1031,
1033,
1061,
1091,
1151,
1153,
1229,
1231,
1279,
1301,
1321,
1429,
1453,
1487,
1619,
1669,
1723,
1789,
1879,
1933,
1949,
3121,
3169,
3251,
3257,
3299,
3301,
3359,
3371,
3373,
3389,
3391,
3463,
3467,
3469,
3527,
3541,
3583,
3767,
3821,
3851,
3853,
3917,
3929,
7349,
7457,
7459,
7547,
7561,
7589,
7757,
7879,
7949,
7951,
9001,
9011,
9013,
9041,
9241,
9341,
9421,
9437,
9439,
9679,
9721,
9769,
9857,
9931,
10007,
10009,
10039,
10067,
10069,
10091,
10273,
10333,
10429,
10457,
10459,
10499,
10711,
10859,
10889,
10891,
10939,
11057,
11071,
11159,
11161,
11353,
11489,
11551,
11699,
11701,
11717,
11719,
11777,
11779,
11833,
11939,
11969,
11971,
12071,
12073,
12107,
12109,
12241,
12253,
12611,
12919,
13009,
13337,
13693,
13709,
13711,
13757,
13759,
13829,
13903,
13933,
14081,
14251,
14323,
14387,
14447,
14449,
14549,
14551,
14563,
14591,
14593,
14629,
15139,
15289,
15643,
15649,
15731,
15733,
15737,
15973,
16063,
16451,
16453,
16651,
16691,
16829,
16979,
17207,
17209,
17417,
17491,
17579,
17599,
17681,
17683,
17747,
17749,
17839,
17909,
17911,
17923,
17959,
18041,
18133,
18253,
18539,
18911,
18913,
19181,
19421,
19423,
19471,
19541,
19543,
19697,
19751,
19841,
30011,
30139,
30271,
30467,
30491,
30557,
30851,
30853,
31081,
31121,
31183,
31393,
31543,
31721,
31723,
31771,
32143,
32189,
32299,
32321,
32369,
32411,
32441,
32531,
32563,
32911,
32939,
32941,
32971,
33071,
33181,
33287,
33329,
33589,
33617,
33751,
33767,
33809,
33811,
34031,
34129,
34159,
34211,
34301,
34367,
34469,
34471,
34513,
34589,
34591,
34651,
34757,
34841,
34847,
34961,
34963,
35051,
35083,
35281,
35447,
35531,
35591,
35729,
35801,
35803,
36013,
36107,
36109,
36467,
36791,
36931,
37021,
37199,
37201,
37307,
37309,
37363,
37547,
37549,
37571,
37589,
37781,
37813,
37991,
38239,
38327,
38329,
38449,
38459,
38651,
38671.
Some larger examples :
199982821,
199982969,
199983031,
199983703,
199988083,
199988309,
199988771,
199989919,
199991117,
199991203,
199993271,
199993331,
199993333,
199993691,
199995179,
199996759,
199997867,
199997869,
199999307,
199999309.