First numbers that belong to both sets:
1,
3,
7,
21,
43,
73,
111,
127,
141,
171,
201,
211,
223,
241,
273,
303,
307,
321,
327,
421,
427,
477,
717,
723,
727,
741,
777,
1011,
1021,
1023,
1041,
1101,
1107,
1117,
1123,
1147,
1201,
1203,
1303,
1323,
1401,
1417,
1441,
1471,
1473,
1701,
1711,
1723,
1771,
1773,
1777,
2001,
2023,
2121,
2127,
2173,
2211,
2217,
2221,
2271,
2277,
2301,
2311,
2317,
2323,
2343,
2403,
2407,
2427,
2473,
2773,
3003,
3007,
3027,
3073,
3111,
3121,
3123,
3171,
3223,
3243,
3301,
3307,
3403,
3411,
3427,
3477,
3717,
3721,
3727,
3747,
3771,
4003,
4023,
4041,
4107,
4173,
4201,
4203,
4207,
4227,
4321,
4377,
4441,
4443,
4717,
4741,
4773,
7003,
7041,
7047,
7077,
7101,
7111,
7171,
7173,
7207,
7311,
7321,
7341,
7371,
7377,
7401,
7443,
7447,
7471,
7701,
7711,
7717,
10003,
10017,
10041,
10071,
10111,
10117,
10143,
10147,
10173,
10221,
10311,
10317,
10321,
10341,
10411,
10417,
10441,
10443,
10471,
10723,
10747,
10773,
11011,
11017,
11047,
11073,
11077,
11173,
11217,
11223,
11227,
11247,
11301,
11323,
11341,
11343,
11371,
11373,
11377,
11407,
11427,
11707,
11721,
12007,
12103,
12117,
12121,
12141,
12201,
12207,
12223,
12243,
12301,
12307,
12321,
12373,
12411,
12417,
12427,
12711,
12741,
12777,
14007,
14017,
14041,
14073,
14211,
14217,
14247,
14307,
14317,
14347,
14407,
14427,
14443,
14473,
14721,
17001,
17011,
17017,
17047,
17103,
17127,
17173,
17211,
17221,
17223,
17341,
17401,
17473,
17703,
20017,
20043,
20071,
20077,
20101,
20103,
20121,
20203,
20227,
20271,
20307,
20341,
20371,
20403,
20773,
21021,
21027,
21043,
21073,
21111,
21147,
21177,
21211,
21223,
21307,
21327,
21373,
21411,
21421,
21471,
21703,
21717,
21721,
21771,
22017,
22147,
22177,
22227,
22327,
22371,
22377,
22401,
22411,
22417,
22471,
22473,
22701,
22711,
22743,
23007,
23041,
23101,
23173,
23271,
23311,
23323,
23341,
23343,
23373,
23377.
Some larger examples :
774043,
774147,
774241,
774441,
774471,
774703,
774723,
777001,
777003,
777127,
777141,
777177,
777201,
777241,
777247,
777307,
777421,
777723,
777727,
777777.