First numbers that belong to both sets:
11,
13,
101,
181,
293,
631,
701,
811,
1409,
1801,
2017,
2039,
2213,
3041,
3089,
3221,
5153,
7043,
8543,
10313,
10667,
11657,
12203,
12401,
12601,
14087,
14177,
14207,
15017,
15107,
15413,
18461,
20129,
20369,
23117,
23719,
30713,
31019,
31547,
35291,
36319,
36607,
37253,
38351,
39521,
39581,
41117,
41131,
41737,
43913,
44389,
46703,
47317,
49081,
50111,
50513,
50627,
51691,
51871,
53507,
54881,
55127,
58337,
62327,
63443,
64189,
66271,
68611,
70249,
71039,
72229,
73651,
74027,
74531,
77291,
79907,
80963,
81049,
83117,
83177,
83357,
84143,
84761,
88301,
89021,
90203,
91163,
91433,
92269,
93503,
100649,
100801,
100913,
101141,
103217,
103529,
104513,
108649,
109721,
110051,
110237,
110543,
112121,
114031,
114691,
118127,
121967,
122117,
123017,
123169,
123239,
123833,
124067,
127219,
127343,
127781,
133403,
133519,
134417,
137089,
140207,
141107,
141121,
144791,
145361,
146449,
148171,
151397,
151939,
154459,
155027,
155047,
155171,
155627,
157061,
157081,
157841,
160841,
163367,
163697,
164627,
165181,
165479,
167051,
169501,
170101,
170299,
172127,
172721,
174169,
175601,
176651,
180751,
181253,
185189,
185651,
192347,
198901,
199049,
201557,
202529,
202639,
204679,
204947,
207199,
207593,
209861,
210407,
211051,
211619,
214021,
215329,
216919,
218171,
220411,
228383,
230663,
232571,
236407,
237581,
237707,
239297,
240101,
241229,
241517,
242309,
244639,
248141,
251297,
253613,
256661,
257141,
257921,
259277,
260651,
260921,
261281,
261407,
270379,
271367,
273233,
273569,
274403,
274751,
275741,
276151,
277961,
279451,
281207,
282349,
285317,
287191,
287939,
291299,
291701,
291901,
296519,
300007,
300089,
304609,
305033,
305101,
307451,
308641,
312107,
312413,
313133,
316271,
316471,
316819,
318077,
320627,
321017,
321301,
321413,
321679,
322193,
323903,
325901,
326063,
326119,
328067,
329729,
330413,
332851,
336437,
337427,
338927,
339263,
341879,
344759,
344821,
346469,
349871,
351157,
354587,
357319,
358031,
359069,
363989,
365903,
368911,
371191,
379931,
380881,
384779,
387109,
388319,
391487,
391553,
391757,
394291,
400109,
401201,
401629,
402277,
402769,
403757,
405049,
405829.
Some larger examples :
99683201,
99716437,
99717227,
99726353,
99752927,
99767831,
99779081,
99785011,
99790921,
99794417,
99834131,
99838489,
99852241,
99899101,
99900221,
99923611,
99931061,
99953681,
99980597,
99986539.