First numbers that belong to both sets:
149,
337,
373,
509,
599,
907,
977,
1271,
1477,
1529,
1541,
1589,
1619,
1649,
1719,
1829,
1859,
1973,
1985,
2203,
2429,
2683,
2909,
2983,
3029,
3149,
3341,
3353,
3431,
3539,
3643,
3665,
3739,
3817,
3845,
4151,
4229,
4567,
4573,
4589,
4691,
4843,
4889,
5077,
5125,
5143,
5303,
5467,
5557,
5609,
5617,
5729,
5917,
5951,
6001,
6065,
6119,
6161,
6173,
6269,
6283,
6449,
6509,
6521,
6869,
6883,
6941,
7109,
7169,
7199,
7289,
7319,
7379,
7535,
7547,
7583,
7799,
7867,
7901,
7961,
8023,
8087,
8107,
8141,
8159,
8363,
8587,
8669,
8719,
8789,
8873,
8887,
8923,
8929,
8981,
9115,
9239,
9391,
9431,
9473,
9521,
9569,
9581,
9787,
9809,
9907,
9941,
10001,
10007,
10027,
10061,
10079,
10199,
10379,
10409,
10447,
10483,
10753,
10777,
10873,
10963,
11023,
11083,
11137,
11171,
11227,
11239,
11285,
11435,
11437,
11549,
11695,
11729,
12007,
12203,
12223,
12371,
12373,
12401,
12427,
12671,
12749,
12791,
12881,
13083,
13099,
13169,
13393,
13409,
13469,
13619,
13679,
13799,
13841,
13901,
13973,
14021,
14039,
14081,
14101,
14141,
14231,
14279,
14303,
14347,
14383,
14467,
14473,
14681,
15013,
15037,
15043,
15247,
15641,
15719,
15787,
15809,
15869,
16027,
16181,
16213,
16405,
16409,
16499,
16601,
16645,
16739,
16753,
16769,
16787,
16849,
16865,
16973,
17021,
17083,
17269,
17369,
17411,
17437,
17519,
17557,
17651,
17767,
17773,
17849,
17887,
17921,
17957,
18209,
18359,
18391,
18517,
18551,
18607,
18719,
18845,
18869,
18881,
18899,
18911,
19117,
19135,
19177,
19319,
19583,
19649,
19709,
19807,
19889,
19949,
19961,
20143,
20321,
20381,
20437,
20519,
20591,
20599,
20639,
20717,
20737,
20827,
20879,
20893,
20909,
20969,
21073,
21101,
21119,
21163,
21359,
21457,
21463,
21541,
21583,
21637,
21659,
21671,
21683,
21751,
21763,
21793,
21817,
21899,
21907,
22049,
22327,
22331,
22439,
22453,
22769,
22817,
22859,
22919,
22943,
22949,
23111,
23129,
23141,
23179.
Some larger examples :
99999029,
99999033,
99999041,
99999151,
99999277,
99999343,
99999373,
99999391,
99999397,
99999419,
99999427,
99999509,
99999569,
99999755,
99999763,
99999779,
99999881,
99999895,
99999929,
99999937.