First numbers that belong to both sets:
5,
53,
157,
211,
257,
263,
563,
653,
947,
977,
1187,
1367,
1511,
1907,
2417,
2963,
3307,
3637,
4409,
4657,
5303,
5387,
5807,
6317,
6863,
6977,
8117,
8747,
10607,
11299,
11411,
11497,
11731,
11903,
12497,
12653,
13043,
13457,
13463,
14543,
15161,
15467,
15767,
15907,
16097,
16427,
16487,
16619,
16787,
16937,
17047,
18217,
19577,
19739,
19949,
20107,
20201,
20521,
20731,
21911,
21997,
22051,
22259,
23327,
23801,
25391,
26041,
26177,
26183,
26393,
26987,
28597,
28927,
29333,
30059,
30449,
30977,
32993,
34267,
34631,
34877,
35753,
35911,
36677,
36821,
37957,
38867,
39113,
42683,
44519,
44741,
45497,
46147,
46889,
47303,
48259,
50417,
50441,
51461,
51551,
52529,
52727,
54443,
54851,
55793,
56087,
57119,
58067,
60337,
60509,
60617,
61637,
62207,
62597,
62633,
63559,
65957,
66431,
66809,
67169,
67511,
67619,
68483,
71011,
71843,
74471,
74489,
74567,
75217,
75527,
75533,
75641,
76913,
77081,
77951,
78797,
78803,
80329,
81077,
81689,
81749,
82463,
82787,
84053,
84137,
84437,
84443,
85049,
85121,
86981,
87517,
89387,
92003,
93083,
94427,
95267,
95917,
96377,
96431,
97967,
98597,
100937,
101483,
104161,
104207,
105977,
108217,
110681,
111509,
111521,
111611,
112181,
113921,
114083,
115337,
116797,
119267,
120557,
120563,
121013,
121447,
122099,
122579,
123887,
126211,
126317,
129209,
130829,
131933,
132511,
132929,
133571,
134639,
135089,
135893,
137321,
137393,
138107,
139079,
139703,
142019,
142427,
143159,
143483,
145037,
145661,
146197,
147347,
149027,
149867,
150407,
153443,
154067,
154291,
155821,
156241,
160829,
161977,
162257,
163211,
163853,
164279,
166949,
167729,
169283,
169313,
170081,
170767,
171329,
171571,
172433,
172877,
173839,
174749,
179167,
179369,
179813,
179969,
182261,
182549,
183361,
183383,
183587,
184321,
184517,
184837,
185057,
185063,
186113,
187877,
188159,
188261,
188317,
188687,
188779,
189983,
191467,
192097,
192161,
193757,
195407,
196187,
197927,
198571,
200177,
200357,
201611,
201809,
202231,
202841,
202859,
206027,
211193,
212099,
214457,
215261,
216113,
218453,
218611,
219071.
Some larger examples :
99945617,
99955601,
99959999,
99960241,
99963581,
99968579,
99974879,
99978059,
99980317,
99981347,
99981941,
99982229,
99982889,
99983627,
99988331,
99989333,
99993917,
99994691,
99995711,
99999617.