First numbers that belong to both sets:
3,
5,
17,
23,
29,
43,
53,
71,
83,
113,
197,
293,
311,
317,
337,
347,
353,
373,
383,
467,
523,
547,
593,
599,
643,
673,
683,
739,
773,
797,
853,
937,
983,
1223,
1283,
1523,
1613,
1823,
1997,
2333,
2347,
2393,
2399,
2467,
2617,
2683,
2797,
2953,
3137,
3167,
3347,
3643,
3739,
3797,
3823,
4337,
4397,
4547,
4673,
4937,
4967,
5197,
5443,
5653,
5939,
5953,
6113,
6173,
6197,
6353,
6653,
6823,
6883,
6983,
6997,
7193,
7283,
7523,
7547,
7643,
7673,
7937,
8353,
8443,
9173,
9643,
9883,
9967,
12113,
12647,
13313,
13613,
15443,
15647,
15683,
16673,
16823,
16883,
18353,
21523,
21613,
21997,
23333,
23399,
23993,
24337,
24373,
27283,
27823,
27883,
29137,
29173,
29399,
31193,
31223,
33547,
33617,
33797,
33967,
34673,
36947,
37337,
37397,
37547,
37853,
38167,
39883,
42683,
46337,
46997,
49613,
53617,
54547,
54673,
59467,
62137,
62347,
62383,
63313,
63347,
64373,
65167,
66173,
66373,
66883,
66947,
67523,
67547,
67853,
69467,
71933,
72467,
72647,
72953,
73331,
73547,
73613,
73673,
73823,
75167,
75347,
75653,
75743,
76883,
78317,
79283,
79337,
79397,
79613,
79967,
81223,
81373,
83137,
84523,
86113,
86197,
87523,
87547,
87643,
87853,
89137,
91283,
91367,
91373,
92347,
92683,
94397,
95443,
96337,
96353,
97283,
97523,
97547,
97673,
97883,
98443,
98467,
99137,
99173,
99397,
121283,
121997,
124337,
126317,
136373,
139883,
186113,
233347,
237547,
242467,
267523,
273643,
279397,
279613,
279967,
291997,
293999,
294397,
297523,
313613,
336353,
336373,
336653,
336997,
337853,
342467,
346337,
356113,
356197,
361223,
364937,
367853,
367883,
372797,
373613,
373823,
378467,
379283,
379397,
381223,
381373,
391283,
391367,
391373,
392467,
392647,
395443,
396353,
397673,
399137,
421997,
424967,
427283,
429137,
454673,
463823,
465167,
492647,
499397,
513313,
534283,
536353,
537547,
563467,
564937,
566173,
573673,
578467,
593933,
593993,
594397,
597673,
613967,
626317,
633613,
633967,
636353,
656113,
659467,
663823.
Some larger examples :
963396997,
963932647,
963969467,
964579283,
966692347,
967368443,
968666173,
972969467,
973233617,
973549547,
979951283,
986132647,
987983617,
991998443,
993946997,
995391367,
995391823,
995729173,
999267523,
999636997.