First numbers that belong to both sets:
3,
7,
23,
43,
47,
61,
83,
89,
103,
109,
167,
181,
349,
383,
389,
503,
509,
523,
547,
709,
743,
761,
941,
983,
2143,
2161,
2341,
2383,
2543,
2909,
2927,
4129,
4363,
4523,
4549,
4567,
4703,
4723,
4789,
4909,
4943,
4969,
6101,
6121,
6301,
6329,
6343,
6361,
6529,
6581,
6703,
6709,
6763,
6781,
6949,
6961,
6983,
8101,
8123,
8329,
8369,
8389,
8527,
8543,
8581,
8741,
8761,
8783,
8941,
10103,
10141,
10163,
10169,
10181,
10303,
10321,
10343,
10369,
10501,
10567,
10789,
10909,
12101,
12109,
12149,
12163,
12301,
12329,
12347,
12503,
12527,
12541,
12589,
12703,
12721,
12743,
12763,
12923,
12983,
14107,
14303,
14323,
14327,
14347,
14389,
14503,
14563,
14723,
14741,
14783,
14929,
14969,
14983,
16103,
16141,
16189,
16349,
16363,
16369,
16381,
16529,
16703,
16747,
16763,
16903,
16943,
16981,
18121,
18149,
18503,
18523,
18541,
18587,
18701,
18749,
30169,
30187,
30323,
30347,
30367,
30707,
30727,
30763,
30781,
30941,
30949,
30983,
32143,
32303,
32309,
32323,
32327,
32363,
32381,
32507,
32563,
32587,
32783,
32789,
32941,
32987,
34129,
34147,
34183,
34303,
34327,
34369,
34381,
34501,
34549,
34703,
34729,
34747,
34763,
34781,
34949,
34963,
34981,
36109,
36161,
36343,
36389,
36529,
36563,
36587,
36721,
36749,
36767,
36781,
36901,
36923,
36947,
38189,
38303,
38321,
38329,
38501,
38561,
38569,
38729,
38749,
38903,
38923,
50101,
50123,
50341,
50363,
50387,
50503,
50543,
50723,
50789,
50929,
52127,
52163,
52183,
52189,
52301,
52321,
52363,
52369,
52543,
52583,
52769,
52783,
52903,
52967,
52981,
54101,
54167,
54323,
54503,
54521,
54541,
54547,
54563,
54583,
54727,
54787,
54949,
54983,
56101,
56383,
56503,
56509,
56543,
56747,
56783,
56923,
56929,
56963,
58321,
58369,
58549,
58741,
58763,
58789,
58901,
58909,
58921,
58943,
58967,
70123,
70141,
70163,
70183,
70327,
70381,
70507,
70549,
70589,
70729,
70901,
70921,
70981,
72103,
72109,
72169,
72341,
72383.
Some larger examples :
89892367,
89892389,
89892503,
89892527,
89892563,
89892709,
89892983,
89894309,
89894587,
89894743,
89896181,
89896307,
89896349,
89896783,
89896909,
89898587,
89898707,
89898769,
89898929,
89898983.