First numbers that belong to both sets:
97,
331,
563,
739,
937,
1009,
1151,
1277,
1427,
1847,
2063,
2333,
2339,
3907,
4217,
4441,
4447,
4481,
4871,
6037,
6197,
6637,
7451,
7457,
8081,
8521,
8597,
9103,
9133,
10067,
10847,
12473,
13679,
14321,
14387,
14407,
16417,
16811,
17317,
17827,
18899,
19421,
19889,
20717,
21481,
21491,
23741,
25111,
25561,
26669,
27397,
27611,
28387,
29833,
29983,
30637,
30803,
36433,
38593,
38669,
40471,
40751,
41011,
41113,
41131,
41507,
44491,
46141,
47041,
47051,
47111,
48311,
48397,
48479,
48731,
48757,
48973,
50741,
50821,
51407,
52529,
56359,
61441,
64997,
66337,
67033,
67121,
69761,
69809,
69991,
70117,
70841,
73517,
73999,
74047,
74143,
74699,
77261,
79273,
79601,
80141,
80147,
80471,
80909,
84121,
84947,
86111,
88651,
92297,
94397,
100333,
101267,
103903,
103967,
104459,
106181,
107693,
107827,
110419,
110431,
111409,
112757,
113011,
114593,
115727,
115769,
119657,
120823,
131671,
132229,
134033,
135173,
135347,
136189,
143461,
145391,
148331,
149011,
157037,
159617,
159671,
160541,
160579,
162523,
166147,
168977,
176201,
177883,
181693,
184829,
188677,
191413,
200771,
201473,
201491,
201767,
206177,
206779,
207187,
216641,
216731,
217157,
217163,
218077,
219277,
219353,
224863,
227977,
228197,
229123,
237971,
238093,
240701,
243461,
246119,
250681,
254623,
254869,
263009,
263063,
266599,
266633,
266641,
267131,
267187,
278459,
278479,
278543,
279541,
288179,
288907,
295693,
298559,
298993,
300109,
300137,
311537,
315407,
316189,
316633,
318173,
323333,
324011,
327401,
336029,
339991,
344161,
345461,
361217,
362851,
369959,
371057,
371069,
371131,
371831,
371927,
372611,
373963,
374677,
388109,
388879,
404941,
404951,
404969,
414049,
414677,
429101,
429181,
430499,
431801,
439409,
448519,
453553,
467417,
467471,
467587,
467611,
486023,
486041,
487381,
487649,
487681,
492377,
492587,
493109,
494341,
503227,
503771,
504787,
505027,
512497,
516161,
516947,
524789,
535487,
540149,
541193,
545429,
547087,
556021,
556159,
568987,
569417,
569599,
569711,
579497,
579517,
584279,
584357,
592019,
600203,
601759,
603719,
607931,
610541,
611801,
614477,
615253,
615337,
629683.
Some larger examples :
9787373,
9787837,
9789271,
9845677,
9853559,
9855029,
9877129,
9877453,
9886069,
9886549,
9914887,
9914911,
9915161,
9926299,
9928843,
9931709,
9932303,
9990653,
9990731,
9993337.