First numbers that belong to both sets:
2,
3,
5,
7,
23,
29,
41,
47,
67,
83,
89,
101,
107,
109,
127,
149,
167,
181,
307,
347,
389,
503,
509,
521,
541,
563,
569,
587,
701,
743,
761,
769,
787,
941,
947,
983,
2129,
2141,
2309,
2381,
2389,
2543,
2549,
2729,
2741,
2789,
2909,
2927,
2963,
2969,
4127,
4349,
4547,
4567,
4703,
4721,
4787,
4789,
4909,
4967,
4969,
4987,
6101,
6143,
6329,
6521,
6569,
6581,
6701,
6709,
6761,
6947,
8147,
8329,
8369,
8387,
8389,
8501,
8527,
8543,
8581,
8707,
8741,
8747,
8969,
10169,
10181,
10301,
10343,
10369,
10529,
10709,
10781,
10909,
10949,
12107,
12149,
12161,
12347,
12569,
12721,
12743,
12781,
14107,
14303,
14321,
14347,
14369,
14387,
14543,
14549,
14561,
14741,
14783,
14969,
16103,
16127,
16141,
16187,
16349,
16361,
16529,
16561,
16741,
16787,
16901,
16921,
16943,
18127,
18149,
18301,
18329,
18503,
18521,
18587,
18701,
18749,
18787,
18947,
30109,
30181,
30307,
30341,
30389,
30509,
30529,
30727,
30983,
32141,
32189,
32309,
32321,
32327,
32341,
32363,
32369,
32561,
32707,
32909,
32969,
32987,
34127,
34147,
34301,
34327,
34361,
34367,
34583,
34589,
34721,
34781,
34949,
34961,
36107,
36109,
36341,
36389,
36527,
36587,
36721,
36761,
36767,
36787,
36901,
36929,
36947,
38189,
38321,
38327,
38501,
38567,
38747,
38749,
38767,
38783,
38921,
50129,
50387,
50527,
50549,
50707,
50789,
50969,
52121,
52147,
52163,
52181,
52301,
52361,
52529,
52541,
52709,
52721,
52727,
52769,
52901,
54121,
54167,
54181,
54361,
54521,
54541,
54581,
56101,
56369,
56501,
56909,
56921,
56963,
58109,
58169,
58321,
58367,
58369,
58787,
58789,
58907,
58943,
58967,
70121,
70163,
70181,
70529,
70589,
70709,
70949,
72101,
72167,
72307,
72341,
72767,
72949,
74381,
74507,
74521,
74561,
74567,
74729,
74747,
74929,
76163,
76343,
76367,
76369,
76387,
76541,
76907,
76949,
76961,
78101,
78121,
78341,
78347,
78509,
78569,
78707,
78781,
78787,
78929,
78941.
Some larger examples :
89878961,
89878967,
89890181,
89890301,
89890583,
89890789,
89892149,
89892161,
89892167,
89892701,
89894107,
89894729,
89894921,
89894927,
89896181,
89896307,
89896349,
89896907,
89898569,
89898929.