First numbers that belong to both sets:
3,
7,
13,
23,
31,
43,
47,
73,
83,
113,
167,
233,
283,
293,
313,
317,
337,
353,
383,
443,
467,
523,
547,
643,
647,
683,
743,
773,
797,
823,
883,
953,
983,
997,
1283,
1373,
1613,
2113,
2383,
2393,
2399,
2939,
3137,
3347,
3373,
3547,
3617,
3643,
3673,
3739,
3797,
3823,
3853,
3947,
3967,
4373,
4397,
4523,
4643,
4937,
5197,
5443,
5653,
5743,
5939,
5953,
6173,
6397,
6883,
6983,
7193,
7333,
7643,
7673,
7853,
7883,
7937,
8317,
8467,
8647,
9137,
9283,
9467,
9743,
12113,
12347,
13313,
13967,
15443,
15683,
16673,
16883,
18353,
18443,
21283,
21523,
21613,
23339,
24337,
24373,
26113,
27283,
29137,
31193,
31223,
33547,
33797,
33967,
34283,
34337,
36353,
36653,
36947,
37339,
37853,
42467,
42797,
43613,
45197,
45953,
46337,
46997,
48353,
49613,
51613,
54547,
59399,
61613,
63313,
63467,
63617,
63823,
64283,
64937,
66173,
66653,
67547,
67853,
69467,
72383,
72617,
72953,
73331,
73613,
73643,
73823,
75683,
75743,
76883,
78167,
78317,
79283,
79337,
79613,
81283,
81373,
83137,
84523,
84673,
84967,
86113,
86353,
87523,
87643,
89137,
91373,
91823,
92383,
92467,
92647,
92683,
94547,
95443,
96337,
96353,
96823,
97523,
97883,
121997,
132647,
133967,
139397,
162683,
181283,
184523,
192347,
192383,
196337,
213613,
233993,
236947,
239933,
242797,
267523,
272383,
273643,
275167,
276673,
276883,
279337,
291373,
291997,
296353,
318443,
327673,
336373,
336653,
336997,
343313,
345953,
346337,
357283,
361223,
366173,
367547,
367853,
367883,
373393,
378167,
378317,
378467,
381223,
381373,
391823,
396353,
396997,
399137,
421997,
424967,
427283,
427883,
433967,
454547,
466373,
492467,
492647,
513313,
516883,
537547,
537853,
542467,
542797,
543313,
563467,
564373,
564937,
566947,
567883,
576883,
578317,
579283,
579613,
593993,
597523,
597673,
612113,
616547,
616673,
627673,
632647,
633967,
642683,
642953,
661613,
663823,
666173,
667883,
672953,
673613,
673643,
675347,
675743,
687523,
691997,
692467,
693967,
697523,
721997,
724967,
727673.
Some larger examples :
95766373,
95792383,
95979283,
96273643,
96396997,
96399137,
96463823,
96597673,
96915683,
96962617,
97236947,
97861613,
98427283,
98672953,
98676883,
98966653,
99336373,
99961613,
99962683,
99979337.