First numbers that belong to both sets:
263,
563,
653,
1511,
2417,
2903,
2963,
3313,
3637,
6073,
6367,
6373,
7841,
10607,
12583,
12841,
13177,
13457,
14753,
16097,
16937,
17483,
18223,
18341,
23893,
25621,
26177,
26393,
30097,
30103,
30313,
30637,
30643,
30977,
32083,
36067,
40111,
40471,
42683,
44041,
44519,
44543,
47507,
48259,
50417,
51461,
52529,
54151,
54443,
55207,
55843,
56003,
58543,
60083,
60337,
62633,
63073,
63559,
63703,
67169,
67619,
68099,
71843,
74489,
75787,
76913,
78577,
80251,
82463,
82787,
83003,
84137,
87517,
87547,
90703,
91303,
92003,
92363,
98473,
99823,
101483,
103177,
104113,
104207,
104723,
107693,
110681,
111509,
113921,
114001,
114083,
114901,
115337,
120823,
121327,
122833,
126317,
130343,
131041,
132911,
133571,
137131,
141067,
142019,
143159,
144439,
145037,
145879,
146701,
148867,
150407,
151201,
151687,
152623,
152947,
154073,
162853,
165443,
168737,
171091,
173183,
176207,
176401,
177301,
179969,
182279,
184837,
186253,
186877,
187367,
188159,
188317,
188437,
200177,
201151,
202387,
203227,
206221,
206483,
211193,
213223,
214463,
216731,
217163,
221233,
230227,
235723,
238207,
243857,
250919,
252163,
253969,
254179,
255517,
258539,
260363,
265123,
265813,
267907,
270223,
270967,
273187,
278617,
279137,
280933,
287173,
289999,
290033,
292477,
294787,
297607,
298093,
300667,
301039,
302779,
302977,
302983,
304217,
304517,
305821,
307079,
312407,
316891,
318431,
318817,
320693,
321721,
327337,
329717,
331171,
334177,
336157,
336983,
341191,
344237,
344243,
344423,
346349,
351047,
355507,
355847,
356299,
357683,
361357,
363767,
366133,
370603,
373693,
375163,
376477,
376583,
381401,
381817,
382807,
389369,
390353,
392531,
393103,
396091,
396443,
397217,
399899,
401237,
402071,
408223,
412019,
415409,
418459,
424163,
428759,
430499,
432743,
434243,
437401,
440543,
441563,
441613,
443237,
443243,
445877,
450077,
451337,
458651,
467101,
470501,
473513,
476243,
477329,
478099,
479581,
479777,
480107,
480749,
483557,
484079,
485941,
487463,
494693,
495401,
496211,
496487,
496493,
497297,
508097,
509563,
509653,
510299,
511001,
511261,
513047,
513347,
517073,
521497,
530983,
532193,
532391,
535511,
539141,
540173,
551569.
Some larger examples :
9887629,
9889951,
9892891,
9900379,
9922007,
9930061,
9932411,
9933317,
9934577,
9935053,
9937309,
9941927,
9944933,
9955447,
9955453,
9976613,
9978827,
9991133,
9994373,
9996823.