First numbers that belong to both sets:
37,
67,
127,
223,
307,
331,
541,
727,
739,
937,
1009,
1087,
1543,
1597,
1987,
2647,
3163,
3433,
3847,
4201,
4441,
4621,
8161,
9151,
9277,
9613,
10597,
11047,
11239,
11677,
11887,
12373,
12487,
14293,
14407,
14713,
15073,
15217,
15259,
16417,
19207,
19417,
21139,
24763,
24907,
25117,
25147,
25561,
27427,
31147,
36451,
38149,
38167,
40459,
40471,
41947,
43933,
46021,
46141,
46399,
47287,
48751,
50767,
54319,
55603,
56359,
56377,
56437,
58897,
60589,
62467,
65353,
73291,
74143,
77137,
79531,
84121,
88789,
92143,
92347,
93871,
94291,
98179,
98317,
98893,
100333,
103387,
104677,
106273,
108751,
110419,
110431,
110527,
111409,
111427,
114547,
114571,
119653,
127591,
127597,
131431,
132229,
132511,
132523,
132607,
135271,
136189,
136303,
136333,
143401,
148663,
151141,
156589,
156619,
159457,
160579,
162493,
162523,
166597,
175687,
176317,
184993,
185677,
189139,
189307,
195691,
197203,
197233,
204913,
206779,
207169,
209173,
216751,
217111,
218077,
227977,
228049,
234181,
236377,
237967,
238141,
241303,
244087,
263077,
264553,
266599,
274777,
280183,
293983,
299011,
299281,
299881,
300187,
300481,
311677,
315349,
315517,
316189,
317257,
318103,
324097,
327193,
339517,
339583,
339601,
339613,
340027,
343237,
345643,
361159,
370411,
382507,
388891,
389743,
407137,
407203,
414199,
416947,
429211,
429463,
448519,
448597,
449077,
449107,
463213,
467119,
467611,
485311,
485893,
486307,
488203,
494341,
503197,
503593,
512521,
515227,
540061,
545371,
545437,
545527,
545863,
547357,
558421,
558457,
567601,
568963,
569599,
601747,
601801,
606913,
606943,
607921,
611827,
628651,
631357,
631843,
633739,
633751,
639253,
642853,
653461,
658051,
659497,
663517,
668527,
671887,
671911,
678199,
678367,
678577,
683251,
691681,
691687,
699931,
699943,
703837,
703849,
703861,
719671,
730447,
747277,
748453,
758071,
758179,
758227,
762721,
763339,
763381,
764887,
764947,
776749,
786823,
786859,
809719,
816763,
816811,
840703,
840907,
841849,
846661,
846721,
846913,
863767,
864007,
874063,
874087,
878011,
885679,
885721,
885769,
904441,
904483,
904627,
906259,
914161,
916831,
917083,
917611,
923023,
923107.
Some larger examples :
9705727,
9716569,
9717259,
9725347,
9725923,
9769519,
9789271,
9858253,
9877177,
9877381,
9877477,
9877507,
9913507,
9928813,
9929053,
9931219,
9932707,
9983977,
9990457,
9993223.