First numbers that belong to both sets:
1,
127,
331,
997,
1087,
1597,
1777,
2983,
3163,
3187,
3433,
3697,
4063,
4195,
4567,
4573,
4663,
4717,
4813,
4843,
5617,
5737,
5755,
5923,
6433,
6463,
6535,
6757,
6883,
7405,
7603,
7813,
8107,
8257,
8467,
8719,
9115,
9457,
9613,
9787,
10753,
10873,
11137,
11227,
11239,
11437,
11541,
12007,
12223,
12373,
12427,
12877,
13083,
13285,
13897,
14347,
14407,
14437,
14473,
15121,
15187,
15217,
15247,
16213,
16507,
16867,
17047,
17083,
17229,
17305,
17467,
17767,
17977,
18211,
18787,
18817,
19357,
19807,
21073,
21453,
21751,
22147,
22327,
22507,
22521,
22957,
23173,
23767,
23857,
23893,
24133,
24217,
24523,
24733,
24963,
25057,
25561,
25753,
25909,
25987,
26167,
26413,
27097,
27157,
27475,
27913,
28087,
28483,
28837,
28843,
29317,
29623,
29653,
29689,
29971,
30313,
30409,
30643,
30727,
30793,
31033,
31237,
32407,
32467,
32683,
32713,
33433,
34003,
34171,
34183,
34603,
35221,
35443,
35485,
35917,
36037,
36151,
36187,
36613,
36759,
37087,
37663,
37753,
37963,
38473,
38917,
39007,
39481,
39607,
39643,
40147,
40207,
40323,
40447,
40477,
40923,
40933,
41029,
41107,
41425,
41947,
42169,
42373,
42883,
43207,
43633,
43711,
43873,
43879,
43933,
43957,
44923,
45175,
45277,
45403,
45613,
46129,
46243,
47107,
47677,
47833,
47923,
48115,
48583,
48703,
48847,
48913,
49447,
49585,
49717,
49753,
49807,
50203,
50317,
50407,
50767,
51127,
51283,
51397,
51703,
51793,
51865,
52243,
52357,
52567,
52627,
52807,
52993,
53113,
53491,
53773,
54007,
54223,
54247,
54487,
54517,
54673,
54733,
55423,
55603,
56263,
56289,
56347,
57343,
57607,
57613,
58753,
59233,
59587,
59893,
59917,
60055,
60187,
60403,
60757,
60973,
61237,
62017,
62287,
62323,
63085,
63127,
63223,
63267,
63487,
63583,
64207,
64213,
64357,
64387,
64533,
64647,
64897,
65353,
65503,
65563,
65629,
65713,
65803,
65941,
66427,
66607,
66613,
66667,
66739,
66907,
67015,
67117,
67873,
68053,
68065,
68377,
68467,
68593,
68755,
69073,
69163,
69301,
69583,
69871.
Some larger examples :
9995253,
9995593,
9995617,
9995689,
9996535,
9996877,
9997033,
9997273,
9997297,
9997543,
9997723,
9998067,
9998839,
9999007,
9999133,
9999487,
9999517,
9999553,
9999823,
9999997.