First numbers that belong to both sets:
2,
3,
5,
7,
43,
89,
283,
373,
379,
463,
739,
2063,
2083,
2131,
2137,
2179,
2203,
2243,
2333,
2423,
2753,
2803,
2843,
2939,
2953,
3167,
3257,
3457,
3527,
3943,
3947,
4133,
4153,
4157,
4159,
4241,
4243,
4261,
4339,
4373,
4397,
4447,
4649,
4733,
4933,
4951,
4957,
5323,
5653,
5657,
6247,
6793,
7639,
8209,
8243,
8263,
8443,
8623,
8647,
8971,
9697,
10723,
12343,
12347,
13337,
13933,
14369,
16363,
16433,
16453,
16477,
16729,
16927,
17443,
17483,
17737,
18617,
20483,
20887,
21323,
22247,
22283,
22447,
22573,
22643,
22973,
23053,
23297,
23327,
23417,
23473,
23497,
23549,
23563,
23743,
23747,
23857,
24043,
24137,
24229,
24337,
24373,
24379,
24593,
24623,
24683,
24733,
24841,
24847,
24953,
24977,
25127,
25237,
25253,
25367,
25439,
25453,
25657,
26153,
26249,
26339,
26393,
26647,
26713,
27253,
27361,
27367,
27479,
27527,
27617,
27697,
27749,
28403,
28513,
28603,
29347,
29947,
30341,
30347,
32297,
32327,
32587,
32749,
32783,
32789,
32831,
32833,
32839,
32941,
32969,
32983,
32987,
33023,
33029,
33223,
33247,
33427,
33623,
33757,
33829,
34217,
34231,
34297,
34327,
34367,
34439,
34981,
35081,
35083,
35089,
35221,
35227,
35447,
35809,
35933,
36277,
36343,
36457,
36473,
36497,
36637,
36877,
37223,
37243,
37423,
37483,
37663,
37997,
39373,
39443,
39623,
39827,
39869,
42407,
42683,
42689,
42863,
42953,
44449,
44641,
44647,
44683,
46771,
46933,
46993,
47363,
47563,
47639,
47653,
47699,
49727,
49891,
52583,
52639,
52709,
52783,
52837,
54727,
55843,
56633,
59063,
59069,
59243,
59263,
59333,
59357,
59443,
59467,
59791,
59797,
59863,
59957,
60289,
60337,
60353,
60397,
60737,
61673,
62539,
62753,
63149,
63299,
63473,
63493,
63527,
63697,
63761,
64283,
64333,
64663,
64793,
64937,
65839,
66359,
66863,
67343,
67433,
67493,
68449,
68669,
68777,
69473,
72497,
73643,
74293,
74323,
74363,
74923,
75937,
75991,
75997,
76079,
76369,
76943,
77849,
78541,
78653,
79283,
79843,
80537.
Some larger examples :
9963749,
9965479,
9965729,
9965743,
9967439,
9972233,
9972343,
9972439,
9972569,
9972583,
9974383,
9974431,
9975643,
9977593,
9978833,
9979337,
9979643,
9983527,
9984827,
9993623.