First numbers that belong to both sets:
5,
53,
157,
173,
257,
263,
373,
607,
653,
733,
1103,
1223,
1367,
1511,
2287,
2677,
2903,
3637,
3733,
4013,
4597,
5303,
5807,
6073,
6263,
6317,
6367,
6373,
6863,
7583,
7823,
8117,
9397,
9871,
10253,
10607,
10853,
11807,
11903,
11933,
12583,
12647,
12653,
12973,
13463,
14543,
15767,
15797,
16223,
16487,
16567,
17047,
17327,
17431,
17477,
18223,
18341,
19463,
19477,
19949,
20201,
21661,
21911,
21997,
22447,
23327,
23333,
23767,
23893,
24077,
24413,
24677,
25391,
25463,
25621,
26183,
26693,
27773,
28069,
28597,
28927,
29173,
29269,
29333,
29599,
30103,
30637,
30977,
31327,
32479,
33113,
34543,
34631,
34877,
35129,
35317,
35911,
36229,
36313,
36677,
36821,
37957,
38183,
39863,
40063,
40093,
40111,
40471,
40493,
40933,
40961,
41263,
41479,
42397,
42533,
43189,
44519,
44543,
44741,
45497,
45757,
47303,
47527,
47869,
48023,
48533,
48661,
49069,
51413,
51461,
51551,
52727,
52957,
53623,
54151,
54623,
54773,
55207,
56087,
56093,
56149,
56437,
56773,
56957,
57119,
57853,
58237,
58543,
58573,
58693,
60133,
60509,
61637,
62207,
62213,
62597,
62633,
63493,
63527,
63559,
63703,
64013,
65413,
65557,
65957,
66431,
67511,
67783,
68743,
69623,
72031,
72481,
72733,
73127,
73477,
74317,
74471,
74567,
75181,
75527,
75533,
76487,
77023,
77557,
77951,
78173,
78797,
79823,
79973,
80917,
81077,
81439,
81749,
82463,
82493,
82793,
83437,
84053,
84437,
85837,
86263,
86981,
87517,
89527,
89983,
90511,
90703,
91303,
92581,
93053,
95917,
96431,
97967,
98597,
99823,
101287,
103567,
103669,
104021,
104053,
104207,
104543,
104717,
105367,
105373,
105607,
105613,
107581,
107693,
108439,
108637,
110813,
110933,
111509,
111521,
111773,
111863,
112181,
112583,
113117,
114901,
115757,
116719,
116797,
117437,
117757,
118831,
119557,
119759,
120097,
120557,
120823,
121007,
121013,
121327,
121421,
121447,
123887,
126317,
126839,
127487,
127663,
127733,
130343,
130687,
130693,
130829,
131933,
132511,
132911,
132929,
133103,
133717,
134053,
134213,
134263,
134333,
134639,
135301,
135607.
Some larger examples :
9976789,
9976853,
9976927,
9977047,
9978607,
9979213,
9980863,
9983983,
9985879,
9986831,
9987317,
9991133,
9991199,
9991343,
9994151,
9994373,
9994807,
9996823,
9997189,
9997327.