First numbers that belong to both sets:
11,
37,
41,
149,
163,
197,
541,
557,
569,
587,
613,
617,
659,
787,
809,
929,
2141,
2203,
2281,
2333,
2347,
2381,
2389,
2467,
2473,
2617,
2707,
2729,
2851,
2857,
2897,
2953,
3461,
6791,
6857,
6947,
6959,
6991,
7013,
7039,
7151,
7187,
7243,
7477,
7487,
7499,
7517,
7559,
7877,
7949,
7993,
8087,
8147,
8161,
8219,
8287,
8311,
8363,
8429,
8443,
8521,
8537,
8563,
8597,
8627,
8641,
8677,
8689,
8819,
8861,
8969,
8999,
9011,
9059,
9157,
9173,
9277,
9281,
9319,
9337,
9371,
9419,
9511,
9547,
9613,
9619,
9767,
9781,
9803,
9811,
9829,
9923,
9929,
10177,
10267,
10271,
10301,
10331,
10357,
10391,
10453,
10457,
10597,
10781,
10949,
10987,
11027,
11057,
11113,
11239,
11251,
11317,
11351,
11369,
11437,
11443,
11467,
11489,
11587,
11593,
11617,
11657,
11699,
11801,
11831,
11969,
12037,
12041,
12071,
12097,
12157,
12161,
12343,
12391,
12409,
12451,
12473,
12487,
12601,
12697,
12713,
12739,
12889,
12907,
12941,
12953,
13001,
13093,
13217,
13327,
13397,
13411,
13417,
13441,
13451,
13513,
13591,
13721,
13859,
13873,
13901,
13997,
14029,
14051,
14071,
14369,
14387,
14401,
14407,
14419,
14447,
14533,
14561,
14621,
14627,
14699,
14737,
14779,
14867,
14887,
14923,
15013,
15121,
15137,
15359,
15373,
15427,
15493,
15619,
15641,
15817,
15859,
15877,
15887,
16001,
16061,
16127,
16139,
16229,
16301,
17021,
17093,
17539,
17623,
17827,
18311,
18397,
18793,
19207,
33149,
33199,
33343,
33391,
33403,
33487,
33529,
33679,
33703,
33739,
33749,
33911,
34127,
34141,
34157,
34253,
34259,
34351,
34421,
34483,
34537,
34583,
34589,
34603,
34649,
34757,
34939,
35023,
35051,
35251,
35419,
35437,
35507,
35527,
35531,
35569,
35747,
36007,
36011,
36209,
36293,
36451,
36493,
36629,
36739,
37039,
37181,
37199,
37337,
37361,
37483,
37547,
37561,
37589,
37781,
37991,
38039,
38069,
38167,
38197,
38219,
38609,
38669,
38693,
38723,
38971,
39019,
39079,
39097,
39191,
39239.
Some larger examples :
66980869,
66980993,
66982021,
66982529,
66986053,
66986081,
66990089,
66994211,
66994337,
66996481,
67010819,
67010833,
67011601,
67019009,
67026961,
67026977,
67045409,
67045633,
67046401,
67084289.