First numbers that belong to both sets:
1,
2,
3,
5,
7,
43,
89,
209,
267,
283,
371,
373,
377,
379,
407,
445,
463,
629,
739,
1073,
1349,
1765,
2063,
2083,
2131,
2137,
2179,
2203,
2227,
2243,
2245,
2249,
2263,
2283,
2315,
2333,
2335,
2353,
2395,
2407,
2423,
2427,
2443,
2449,
2465,
2483,
2517,
2537,
2623,
2627,
2733,
2735,
2737,
2739,
2753,
2773,
2803,
2843,
2849,
2863,
2933,
2939,
2953,
3145,
3147,
3167,
3215,
3235,
3257,
3295,
3385,
3453,
3457,
3523,
3527,
3543,
3569,
3635,
3657,
3749,
3941,
3943,
3945,
3947,
3949,
4133,
4151,
4153,
4157,
4159,
4241,
4243,
4247,
4249,
4261,
4265,
4267,
4285,
4339,
4353,
4355,
4373,
4397,
4403,
4443,
4447,
4469,
4573,
4649,
4685,
4733,
4735,
4849,
4933,
4951,
4957,
5321,
5323,
5327,
5453,
5567,
5653,
5657,
5833,
5873,
6247,
6423,
6443,
6649,
6793,
6935,
6937,
7123,
7279,
7323,
7343,
7363,
7639,
8201,
8203,
8207,
8209,
8223,
8243,
8245,
8263,
8283,
8443,
8623,
8647,
8971,
8977,
9273,
9347,
9385,
9493,
9697,
10723,
12343,
12347,
12367,
12695,
12723,
13133,
13173,
13337,
13373,
13393,
13443,
13933,
14295,
14363,
14369,
16213,
16363,
16431,
16433,
16435,
16439,
16453,
16471,
16477,
16543,
16729,
16927,
17133,
17243,
17245,
17249,
17287,
17443,
17445,
17483,
17737,
17845,
17849,
18347,
18617,
18697,
19243,
19733,
20203,
20243,
20263,
20355,
20483,
20827,
20843,
20887,
21323,
21349,
21439,
21497,
21743,
21785,
22195,
22247,
22249,
22267,
22283,
22285,
22315,
22333,
22337,
22355,
22373,
22395,
22447,
22463,
22465,
22489,
22535,
22537,
22573,
22595,
22597,
22643,
22663,
22733,
22735,
22753,
22823,
22951,
22957,
22973,
23053,
23215,
23237,
23239,
23295,
23297,
23327,
23347,
23365,
23387,
23417,
23435,
23437,
23473,
23477,
23493,
23497,
23523,
23543,
23549,
23563,
23587,
23617,
23657,
23727,
23743,
23745,
23747,
23749,
23857,
23897,
23943,
23945,
23947,
23963.
Some larger examples :
9984427,
9984827,
9986843,
9987233,
9987437,
9988337,
9990235,
9990237,
9992257,
9992327,
9992433,
9992633,
9993623,
9994523,
9994637,
9994657,
9994789,
9996983,
9999227,
9999827.