First numbers that belong to both sets:
1,
127,
373,
701,
1207,
1211,
1243,
1271,
1477,
1777,
2171,
2203,
2377,
3341,
3343,
4001,
4271,
4311,
4327,
4717,
7177,
7343,
7417,
7747,
10001,
10007,
10021,
10027,
10121,
10327,
10447,
10777,
11023,
11141,
11171,
11207,
11227,
11317,
11347,
11411,
11743,
11771,
12007,
12203,
12223,
12371,
12373,
12401,
12427,
12727,
14021,
14023,
14047,
14077,
14101,
14107,
14141,
14143,
14227,
14303,
14347,
14407,
14473,
17021,
17047,
17077,
17147,
17327,
17371,
17411,
17773,
20141,
20143,
20201,
20321,
20323,
20707,
20717,
21073,
21101,
21247,
21701,
22147,
22327,
23017,
23077,
23111,
23141,
23173,
23321,
23417,
23443,
23707,
23711,
24217,
24223,
24323,
24371,
27101,
27127,
27311,
27327,
27343,
40027,
40123,
40147,
40207,
40307,
40323,
40401,
40423,
40447,
40477,
41017,
41107,
41171,
41227,
41323,
41347,
41423,
41771,
42277,
42343,
42373,
43103,
43171,
43207,
43417,
43711,
44077,
44107,
44111,
44171,
44417,
47041,
47077,
47107,
47173,
47327,
47441,
70117,
70277,
70477,
70723,
71017,
71143,
71243,
71317,
71471,
72041,
72043,
72071,
72073,
72241,
72307,
72403,
72701,
73243,
73271,
73273,
73417,
73721,
73777,
74017,
74077,
74323,
74341,
74471,
74741,
77107,
77227,
77417,
77443,
77471,
77771,
100207,
100403,
100721,
100723,
100727,
101077,
101107,
101141,
101147,
101203,
101227,
101317,
101347,
101377,
101707,
101711,
102071,
102121,
102247,
102373,
102701,
103021,
103027,
103117,
103121,
103211,
103217,
103243,
103271,
104021,
104077,
104141,
104143,
104173,
104203,
104227,
104321,
104441,
104443,
104471,
107017,
107143,
107741,
110023,
110111,
110117,
110141,
110143,
110201,
110203,
110207,
110221,
110377,
110471,
110703,
110707,
110721,
110771,
111023,
111043,
111101,
111201,
111211,
111311,
111371,
111403,
111407,
112011,
112247,
112421,
112441,
112447,
114101,
114123,
114143,
117203,
117221,
117343,
117401,
117701,
120011,
120023,
120243,
120247,
120371,
121123,
121241,
121327,
121417,
121711,
121717,
122141,
122317,
122321,
122377,
122441,
122771,
123043,
123101,
123103,
124007,
124027,
124121,
124177,
124271.
Some larger examples :
773107,
773117,
773141,
773311,
773473,
773741,
774071,
774101,
774173,
774223,
774307,
774371,
774701,
774727,
777023,
777221,
777247,
777401,
777403,
777701.