First numbers that belong to both sets:
5,
53,
157,
173,
211,
257,
263,
373,
563,
593,
607,
653,
733,
947,
977,
1103,
1123,
1187,
1223,
1367,
1511,
1747,
1753,
1907,
2287,
2417,
2677,
2903,
2963,
3307,
3313,
3637,
3733,
4013,
4409,
4457,
4597,
4657,
4691,
4993,
5107,
5113,
5303,
5387,
5393,
5563,
5807,
6073,
6263,
6317,
6323,
6367,
6373,
6863,
6977,
7523,
7583,
7823,
7841,
8117,
8713,
8747,
9397,
9473,
9871,
10253,
10607,
10657,
10853,
11299,
11411,
11497,
11731,
11807,
11903,
11933,
12497,
12547,
12583,
12647,
12653,
12841,
12973,
13043,
13177,
13457,
13463,
14543,
14747,
14753,
15161,
15193,
15313,
15467,
15767,
15797,
15803,
15907,
15913,
16097,
16223,
16427,
16487,
16567,
16619,
16787,
16937,
16987,
17047,
17327,
17431,
17477,
17483,
17851,
18217,
18223,
18341,
18433,
18731,
19463,
19477,
19483,
19577,
19603,
19739,
19949,
20107,
20123,
20161,
20201,
20347,
20521,
20731,
21163,
21661,
21911,
21997,
22051,
22073,
22259,
22447,
23327,
23333,
23767,
23801,
23893,
24077,
24097,
24413,
24677,
25391,
25463,
25621,
25673,
26041,
26177,
26183,
26393,
26693,
26723,
26987,
27067,
27773,
28069,
28597,
28927,
29173,
29269,
29333,
29599,
29873,
30059,
30097,
30103,
30313,
30449,
30637,
30643,
30977,
31051,
31327,
32083,
32479,
32497,
32993,
33113,
33857,
34171,
34267,
34543,
34631,
34673,
34877,
35129,
35317,
35753,
35851,
35911,
36067,
36229,
36313,
36677,
36821,
37957,
38183,
38867,
39113,
39863,
40063,
40093,
40111,
40283,
40471,
40493,
40933,
40961,
41017,
41263,
41479,
41513,
41603,
41947,
42187,
42209,
42397,
42533,
42683,
43189,
44041,
44519,
44543,
44741,
45433,
45497,
45757,
46147,
46889,
47303,
47507,
47527,
47869,
48023,
48259,
48533,
48661,
49069,
49633,
50153,
50417,
50441,
51413,
51461,
51551,
52529,
52727,
52957,
53617,
53623,
53939,
54151,
54443,
54623,
54673,
54773,
54851,
55207,
55793,
55843,
56003,
56087,
56093,
56149,
56437,
56773,
56957,
57119,
57853,
58067,
58129,
58237.
Some larger examples :
9989417,
9990683,
9991027,
9991133,
9991199,
9991343,
9992161,
9992681,
9992921,
9993233,
9994151,
9994373,
9994807,
9995849,
9996823,
9997189,
9997219,
9997327,
9999883,
9999937.