First numbers that belong to both sets:
3,
7,
31,
401,
577,
677,
1601,
2917,
3137,
8101,
8191,
12101,
15377,
24337,
42437,
50177,
55697,
57601,
62501,
69697,
80657,
93637,
131071,
147457,
148997,
190097,
246017,
287297,
309137,
324901,
404497,
414737,
417317,
484417,
524287,
562501,
583697,
608401,
665857,
933157,
1008017,
1123601,
1166401,
1223237,
1263377,
1299601,
1308737,
1313317,
1378277,
1401857,
1552517,
1623077,
1628177,
1664101,
1674437,
1731857,
1742401,
1822501,
1893377,
1976837,
2232037,
2402501,
2464901,
2611457,
2735717,
2768897,
2802277,
2835857,
3013697,
3083537,
3218437,
3326977,
3459601,
3496901,
3865157,
3880901,
3896677,
3960101,
4104677,
4137157,
4202501,
4218917,
4301477,
4477457,
4494401,
4519877,
4639717,
4884101,
5134757,
5225797,
5354597,
5541317,
5664401,
6031937,
6330257,
6502501,
6728837,
6885377,
7001317,
7043717,
7096897,
7203857,
7290001,
7322437,
7485697,
7584517,
7706177,
8202497,
8271377,
8317457,
8549777,
9096257,
9156677,
9821957,
9834497,
10074277,
10265617,
10329797,
10719077,
10824101,
11115557,
11155601,
11222501,
11289601,
11874917,
12180101,
13278737,
13586597,
13808657,
14092517,
14107537,
14167697,
14258177,
14394437,
14440001,
15085457,
15210001,
15288101,
15570917,
15729157,
15872257,
16048037,
16192577,
16370117,
16451137,
16646401,
16695397,
16924997,
17007377,
17272337,
17438977,
17505857,
17859077,
18198757,
18576101,
18800897,
19044497,
19061957,
19096901,
19131877,
19749137,
20124197,
20214017,
20340101,
20520901,
20557157,
20611601,
20738917,
21068101,
21196817,
21215237,
21566737,
21771557,
22090001,
22240657,
22410757,
22600517,
22848401,
22982437,
23951237,
24443137,
24542117,
24561937,
25040017,
25300901,
25441937,
25542917,
25806401,
26275877,
26832401,
27311077,
27415697,
28558337,
28836901,
29203217,
29376401,
29419777,
29877157,
29964677,
29986577,
30096197,
30316037,
30647297,
30802501,
30958097,
31069477,
31181057,
31248101,
32080897,
32490001,
32604101,
33131537,
33802597,
34222501,
34292737,
34409957,
34527377,
34574401,
35331137,
35521601,
35640901,
36360901,
36554117,
37161217,
37454401,
37576901,
38142977,
38638657,
39765637,
40322501,
40449601,
40525957,
41396357,
43243777,
43428101,
43744997,
44036497,
45077797,
45751697,
45914177,
46022657,
46049797,
46321637,
46977317,
47141957,
48385937,
48860101,
48944017,
49224257,
49702501,
49928357,
50836901,
51322897,
52070657,
52417601,
52707601,
53348417,
53670277,
54228497,
54523457,
54908101,
54967397,
55591937,
55860677,
56490257,
56610577,
59598401,
59814757,
60124517,
60372901,
60435077,
60528401,
61152401,
61402897,
61842497,
62568101,
63138917,
64224197,
66814277,
67141637.
Some larger examples :
87871877,
88472837,
88811777,
89491601,
89756677,
89984197,
91126117,
92160001,
93122501,
93508901,
94361797,
95257601,
95452901,
96904337,
97535377,
97614401,
97930817,
99121937,
99400901,
99720197.