First numbers that belong to both sets:
4,
21,
27,
77,
100,
111,
121,
143,
144,
171,
201,
203,
217,
221,
242,
243,
247,
301,
323,
324,
327,
341,
343,
371,
377,
400,
403,
407,
417,
427,
471,
707,
711,
721,
722,
723,
741,
777,
1003,
1007,
1011,
1024,
1027,
1043,
1047,
1073,
1101,
1111,
1121,
1127,
1141,
1143,
1147,
1177,
1207,
1211,
1227,
1241,
1243,
1247,
1271,
1273,
1317,
1343,
1371,
1403,
1407,
1411,
1417,
1421,
1443,
1444,
1477,
1703,
1711,
1727,
1771,
2007,
2021,
2023,
2041,
2047,
2071,
2073,
2077,
2101,
2107,
2117,
2123,
2127,
2171,
2173,
2177,
2201,
2217,
2227,
2271,
2303,
2304,
2307,
2312,
2317,
2321,
2323,
2327,
2401,
2407,
2471,
2704,
2717,
2721,
2723,
2743,
2747,
2771,
2773,
3007,
3017,
3027,
3043,
3047,
3071,
3073,
3077,
3101,
3103,
3107,
3117,
3127,
3141,
3143,
3171,
3173,
3207,
3211,
3223,
3241,
3247,
3277,
3303,
3317,
3341,
3401,
3403,
3411,
3421,
3423,
3427,
3441,
3443,
3473,
3477,
3707,
3711,
3721,
3743,
3747,
3773,
4077,
4117,
4121,
4123,
4141,
4143,
4147,
4171,
4221,
4223,
4247,
4301,
4303,
4307,
4321,
4341,
4343,
4377,
4401,
4403,
4411,
4417,
4427,
4471,
4477,
4701,
4707,
4711,
4717,
4727,
4741,
4747,
4771,
4773,
4777,
7003,
7021,
7023,
7041,
7073,
7077,
7111,
7117,
7123,
7141,
7171,
7203,
7217,
7223,
7241,
7271,
7273,
7277,
7301,
7303,
7311,
7317,
7327,
7347,
7373,
7401,
7403,
7407,
7421,
7427,
7442,
7447,
7471,
7707,
7711,
7721,
7744,
7747,
7771,
7777,
10000,
10001,
10003,
10021,
10027,
10043,
10071,
10073,
10107,
10117,
10121,
10123,
10127,
10147,
10171,
10173,
10201,
10207,
10217,
10227,
10277,
10307,
10317,
10323,
10327,
10371,
10373,
10377,
10403,
10404,
10407,
10411,
10417,
10421,
10423,
10441,
10443,
10447,
10471,
10717,
10721,
10727,
10741,
10747,
10773,
10777,
11001.
Some larger examples :
777303,
777307,
777311,
777323,
777341,
777343,
777347,
777371,
777377,
777401,
777403,
777407,
777441,
777443,
777477,
777701,
777703,
777717,
777727,
777773.