First numbers that belong to both sets:
2,
3,
7,
11,
17,
23,
41,
43,
47,
71,
73,
101,
103,
107,
127,
173,
211,
223,
227,
241,
271,
277,
307,
311,
317,
347,
373,
401,
421,
443,
701,
727,
743,
773,
1021,
1103,
1117,
1123,
1171,
1201,
1217,
1223,
1277,
1301,
1303,
1307,
1321,
1327,
1373,
1423,
1427,
1447,
1471,
1721,
1723,
1741,
1747,
1777,
2003,
2011,
2017,
2027,
2111,
2141,
2143,
2203,
2207,
2221,
2243,
2273,
2311,
2341,
2347,
2371,
2377,
2411,
2417,
2423,
2441,
2447,
2473,
2477,
2707,
2711,
2741,
2777,
3001,
3011,
3023,
3041,
3121,
3203,
3217,
3221,
3271,
3301,
3307,
3323,
3343,
3347,
3371,
3373,
3407,
3701,
3727,
4001,
4003,
4007,
4021,
4027,
4073,
4111,
4127,
4177,
4201,
4211,
4217,
4241,
4243,
4271,
4273,
4327,
4373,
4421,
4423,
4441,
4447,
4703,
4721,
4723,
7001,
7027,
7043,
7103,
7121,
7127,
7177,
7207,
7211,
7243,
7247,
7307,
7321,
7411,
7417,
7477,
7703,
7717,
7723,
7727,
7741,
10007,
10103,
10111,
10141,
10177,
10211,
10223,
10243,
10247,
10271,
10273,
10301,
10303,
10321,
10343,
10427,
10477,
10711,
10723,
10771,
11003,
11027,
11047,
11071,
11117,
11171,
11173,
11177,
11243,
11273,
11311,
11317,
11321,
11411,
11423,
11443,
11447,
11471,
11701,
11717,
11743,
11777,
12007,
12011,
12041,
12043,
12071,
12073,
12101,
12107,
12143,
12203,
12211,
12227,
12241,
12277,
12301,
12323,
12343,
12347,
12373,
12377,
12401,
12421,
12473,
12703,
12721,
12743,
14011,
14071,
14107,
14143,
14173,
14177,
14207,
14221,
14243,
14303,
14321,
14323,
14327,
14341,
14347,
14401,
14407,
14411,
14423,
14447,
14717,
14723,
14741,
14747,
14771,
17011,
17021,
17027,
17041,
17047,
17077,
17107,
17117,
17123,
17203,
17207,
17317,
17321,
17327,
17341,
17377,
17401,
17417,
17443,
17471,
17477,
17707,
17747,
20011,
20021,
20023,
20047,
20071,
20101,
20107,
20117,
20123,
20143,
20147,
20173,
20177.
Some larger examples :
774377,
774427,
774703,
774773,
777001,
777011,
777041,
777071,
777103,
777143,
777173,
777221,
777241,
777247,
777277,
777317,
777373,
777421,
777473,
777743.