First numbers that belong to both sets:
3,
7,
23,
43,
47,
73,
103,
241,
271,
317,
401,
421,
443,
743,
773,
1021,
1171,
1201,
1217,
1303,
1307,
1321,
1327,
1373,
1723,
2003,
2017,
2143,
2207,
2221,
2243,
2273,
2311,
2341,
2423,
2441,
2447,
2477,
2777,
3001,
3023,
3041,
3121,
3221,
3271,
3301,
3323,
3347,
3373,
3701,
4003,
4007,
4021,
4027,
4111,
4177,
4243,
4273,
4373,
4423,
4703,
4723,
7001,
7027,
7043,
7247,
7417,
7703,
7727,
10103,
10111,
10141,
10223,
10247,
10273,
10303,
10321,
10343,
10711,
11003,
11071,
11173,
11177,
11243,
11321,
11423,
11447,
11471,
11701,
11743,
12011,
12043,
12073,
12101,
12203,
12211,
12241,
12301,
12347,
12421,
12703,
12721,
12743,
14011,
14107,
14177,
14207,
14221,
14303,
14323,
14327,
14347,
14411,
14423,
14717,
14723,
14741,
14771,
17107,
17123,
17321,
17341,
17401,
17471,
20023,
20071,
20117,
20177,
20327,
20411,
20443,
20773,
21023,
21107,
21121,
21143,
21227,
21247,
21323,
21347,
21401,
21407,
21773,
22003,
22111,
22171,
22273,
22307,
22721,
22727,
22741,
23021,
23041,
23071,
23143,
23173,
23203,
23227,
23371,
23473,
23743,
23747,
23773,
24007,
24023,
24121,
24203,
24373,
24421,
24443,
24473,
27017,
27043,
27077,
27143,
27211,
27241,
27701,
27743,
40177,
40241,
40771,
41023,
41117,
41143,
41203,
41243,
41341,
41777,
42023,
42073,
42101,
42223,
42227,
42307,
42443,
42473,
42703,
42727,
42743,
42773,
43103,
43117,
43207,
43271,
43321,
43403,
43411,
43721,
44021,
44071,
44123,
44203,
44207,
44221,
44273,
44417,
44701,
44711,
44773,
44777,
47017,
47123,
47221,
47317,
47441,
47701,
47717,
47743,
70003,
70123,
70141,
70201,
70207,
70241,
70327,
70717,
71023,
71147,
71171,
71341,
71443,
71473,
72047,
72077,
72103,
72173,
72223,
72271,
72277,
72341,
72707,
73043,
73141,
73243,
73421,
73727,
74021,
74027,
74077,
74101,
74177,
74203,
74323,
77003,
77047,
77101,
77141,
77171,
77201,
77243,
77323,
77447,
77723,
77747,
100003,
100271,
100343,
100417,
100703.
Some larger examples :
773117,
773317,
773371,
773417,
773723,
774001,
774023,
774073,
774317,
774343,
774377,
774703,
777041,
777143,
777173,
777221,
777277,
777317,
777421,
777743.