First numbers that belong to both sets:
377,
493,
527,
533,
1037,
1271,
1541,
1643,
1649,
2537,
2911,
2993,
3053,
3149,
3551,
3713,
3827,
3869,
4183,
4187,
5723,
6887,
7031,
8633,
14351,
14873,
18281,
18437,
19493,
20291,
20437,
20453,
20651,
20687,
21037,
21473,
21809,
22577,
23701,
24257,
24287,
25217,
25397,
25787,
25807,
25877,
27029,
27089,
27221,
27977,
28103,
28757,
28829,
28841,
28997,
29177,
29213,
29321,
29329,
29591,
29987,
30281,
30607,
31007,
31439,
31877,
31937,
32017,
32033,
32387,
32399,
32651,
32849,
33017,
33227,
34037,
34277,
34427,
34547,
35237,
35369,
35417,
35501,
35621,
35657,
35687,
35909,
36031,
36059,
36287,
36359,
36503,
36557,
36581,
36733,
36977,
37001,
37067,
37073,
37127,
37129,
37241,
37343,
37523,
37673,
37823,
37901,
37949,
37979,
38009,
38279,
38477,
38807,
39037,
39269,
39407,
39437,
39917,
40217,
40259,
40379,
40657,
40727,
41003,
41309,
41567,
41693,
41891,
42037,
42149,
42233,
42593,
42673,
42881,
43259,
43657,
43709,
44831,
45593,
45671,
46001,
46217,
46259,
46517,
46537,
47477,
47759,
47921,
48077,
48101,
48641,
48689,
48899,
48929,
49163,
50621,
50657,
51809,
52001,
52211,
52823,
52907,
53237,
53393,
54731,
54737,
55031,
55247,
55277,
56723,
56977,
57377,
57677,
57887,
58307,
58547,
58607,
58637,
59099,
59249,
59309,
59783,
59987,
60701,
61577,
61739,
61811,
61889,
61937,
62021,
64307,
64357,
64367,
64637,
64769,
64807,
65081,
65207,
65291,
65347,
65369,
65591,
65621,
66203,
66887,
67637,
67877,
68681,
68987,
69287,
69527,
69551,
69647,
69731,
69791,
69869,
69917,
69947,
70097,
70253,
70303,
70307,
70349,
70409,
70517,
70727,
71177,
72311,
72377,
72581,
72593,
72659,
72697,
72731,
73147,
73187,
73217,
73427,
73481,
73937,
74663,
74693,
74807,
75137,
75203,
75851,
75863,
75953,
76217,
76409,
77507,
77927,
78209,
78227,
78371,
78671,
79207,
80837,
80987,
81317,
81407,
81503,
81989,
82993,
83327,
83627,
83981,
84107,
84251,
84257,
84281,
84587,
84803,
84863,
84937,
85181,
85301,
85409,
85907,
85979.
Some larger examples :
849287,
851567,
870293,
875807,
878357,
880697,
880937,
885337,
887339,
897863,
902801,
903377,
920639,
938957,
944159,
944423,
944759,
950141,
950561,
968087.