First numbers that belong to both sets:
5,
157,
173,
211,
257,
563,
607,
653,
733,
947,
1123,
1187,
1367,
1747,
1753,
2677,
2963,
3313,
3637,
3733,
4657,
4993,
5393,
6317,
6323,
6373,
7841,
9397,
10253,
10853,
11411,
11903,
12547,
12583,
14753,
15803,
16427,
16567,
16619,
16937,
16987,
17047,
17477,
18217,
18433,
18731,
19483,
19603,
20161,
20347,
20521,
22051,
22447,
24097,
24413,
26723,
28597,
28927,
29599,
30637,
30643,
31327,
32479,
32497,
32993,
34877,
35129,
35911,
36229,
39113,
39863,
40063,
40933,
40961,
42209,
42533,
44519,
44543,
46147,
48023,
49633,
52957,
54623,
54773,
55207,
57853,
58129,
58237,
59393,
62207,
63493,
63703,
64627,
65413,
67619,
67783,
68099,
68483,
68743,
71843,
72481,
74317,
76561,
76673,
77023,
77557,
79867,
80251,
81439,
81749,
84053,
84137,
87517,
89003,
91297,
91387,
92227,
93083,
95917,
95923,
96431,
96763,
97967,
99823,
100937,
103177,
104953,
105367,
105373,
106297,
108439,
108923,
110459,
110603,
111611,
113963,
114083,
114473,
115337,
116719,
117437,
117757,
121007,
121327,
121447,
123887,
125441,
127643,
127843,
129209,
130483,
130693,
131041,
133103,
133571,
133717,
134639,
135301,
137321,
137393,
138107,
141073,
141263,
143159,
144247,
144253,
145213,
145661,
145879,
146843,
147347,
148633,
148867,
149027,
149497,
150083,
151163,
151477,
151637,
151687,
156241,
159623,
163211,
163847,
163853,
165443,
166949,
167759,
168737,
168893,
169199,
169783,
169837,
170081,
171923,
172433,
172987,
173183,
173561,
176401,
176983,
177217,
177487,
179807,
179813,
181439,
182279,
182593,
183361,
184321,
184837,
185063,
185267,
186013,
186253,
186271,
186877,
187367,
187373,
187699,
188317,
188437,
188933,
189473,
189983,
191467,
192743,
192991,
194653,
195241,
195407,
195913,
195997,
196187,
196739,
197683,
197773,
201151,
201809,
202999,
203017,
203227,
204013,
205957,
206203,
206917,
209743,
210631,
211193,
212677,
212903,
214657,
216731,
217069,
221233,
222947,
223481,
224221,
224467,
225983,
226637,
226643,
227153,
227419,
227581,
228587,
228677,
234287,
234727,
237277,
237331,
237821,
238451,
239423,
240733,
241327,
241951,
244021,
245527,
245771.
Some larger examples :
9956327,
9961873,
9973597,
9975631,
9976613,
9976789,
9976927,
9977047,
9978827,
9983977,
9986831,
9989417,
9990683,
9991027,
9991343,
9992161,
9992681,
9992921,
9994373,
9997219.