First numbers that belong to both sets:
3,
7,
11,
17,
41,
43,
71,
73,
101,
103,
107,
227,
241,
271,
311,
347,
421,
1021,
1277,
1301,
1303,
1321,
1427,
1721,
1723,
2027,
2111,
2141,
2143,
2311,
2341,
2711,
3001,
3121,
3301,
3371,
3373,
4001,
4003,
4021,
4127,
4217,
4241,
4243,
4271,
4273,
4421,
4423,
4721,
4723,
7127,
7211,
7307,
10007,
10141,
10271,
10273,
10301,
10303,
10427,
10711,
11071,
11117,
11171,
11173,
11701,
11717,
11777,
12041,
12043,
12071,
12073,
12107,
12241,
12377,
14011,
14321,
14323,
14447,
17027,
17207,
17417,
17747,
20021,
20023,
20147,
20441,
20443,
20477,
20717,
20747,
20771,
20773,
21011,
21017,
21317,
21377,
22111,
22271,
22273,
22277,
22741,
23027,
23041,
23201,
23203,
23371,
23741,
23743,
24107,
24371,
24373,
24421,
27107,
27241,
27407,
40127,
40427,
41141,
41143,
41177,
41201,
41203,
41411,
42017,
42071,
42073,
42221,
42223,
42407,
42701,
42703,
43321,
44027,
44201,
44203,
44701,
44771,
44773,
47147,
47417,
47701,
47711,
47741,
47743,
47777,
70001,
70003,
70121,
70123,
70141,
70201,
71327,
71341,
71411,
71471,
71473,
71711,
72101,
72103,
72221,
72223,
72227,
72271,
74101,
74201,
74203,
74411,
74717,
77417,
77477,
77711,
101111,
101117,
101207,
101747,
102001,
102077,
102101,
102103,
102301,
102407,
103421,
103423,
104147,
104311,
104471,
104473,
107071,
107101,
107717,
110321,
110323,
110477,
111121,
111227,
111271,
112247,
114041,
114043,
117041,
117043,
117241,
117371,
117373,
117701,
117703,
120047,
120077,
121021,
121171,
121441,
122027,
122041,
122147,
122201,
122203,
122207,
122321,
122323,
122401,
122741,
122743,
123377,
124121,
124123,
124247,
124301,
124303,
124427,
124771,
127217,
127247,
127711,
140071,
140417,
141221,
141223,
141707,
143111,
144071,
144073,
144407,
147211,
147227,
170101,
170371,
171047,
171077,
171401,
171403,
172171,
172217,
172421,
172423,
172441,
173021,
173023,
173207,
173741,
173743,
173777,
174017,
174047,
174077,
177011,
177211,
201121,
201211,
201401,
201403,
202127,
203207,
203311,
203321,
203323,
203341,
203417,
203771,
203773.
Some larger examples :
770311,
770447,
771011,
771047,
771301,
771401,
771403,
772001,
772003,
772441,
773021,
773023,
773027,
773207,
773777,
774001,
774071,
774073,
777011,
777421.