First numbers that belong to both sets:
1,
2,
3,
7,
11,
17,
23,
41,
43,
47,
71,
73,
77,
101,
103,
107,
123,
127,
141,
143,
173,
177,
211,
217,
221,
223,
227,
241,
247,
271,
277,
303,
307,
311,
317,
321,
323,
341,
347,
371,
373,
377,
401,
403,
407,
411,
421,
427,
443,
447,
473,
701,
703,
707,
717,
721,
727,
743,
771,
773,
1001,
1003,
1007,
1021,
1041,
1043,
1073,
1077,
1103,
1111,
1117,
1121,
1123,
1141,
1147,
1171,
1173,
1177,
1201,
1203,
1207,
1211,
1217,
1223,
1241,
1243,
1247,
1271,
1273,
1277,
1301,
1303,
1307,
1321,
1327,
1343,
1347,
1373,
1401,
1403,
1411,
1417,
1423,
1427,
1441,
1447,
1471,
1473,
1707,
1717,
1721,
1723,
1727,
1741,
1747,
1777,
2001,
2003,
2011,
2017,
2021,
2027,
2047,
2071,
2077,
2101,
2103,
2111,
2117,
2123,
2141,
2143,
2147,
2171,
2173,
2177,
2201,
2203,
2207,
2221,
2227,
2243,
2273,
2311,
2317,
2321,
2323,
2327,
2341,
2343,
2347,
2371,
2377,
2407,
2411,
2417,
2423,
2427,
2441,
2443,
2447,
2471,
2473,
2477,
2701,
2703,
2707,
2711,
2717,
2723,
2741,
2743,
2747,
2771,
2773,
2777,
3001,
3007,
3011,
3017,
3023,
3041,
3043,
3047,
3071,
3073,
3077,
3101,
3103,
3107,
3121,
3127,
3147,
3173,
3203,
3217,
3221,
3223,
3227,
3247,
3271,
3273,
3277,
3301,
3307,
3317,
3323,
3327,
3341,
3343,
3347,
3371,
3373,
3377,
3401,
3407,
3421,
3427,
3443,
3473,
3701,
3707,
3727,
3743,
3777,
4001,
4003,
4007,
4021,
4027,
4043,
4071,
4073,
4101,
4103,
4111,
4117,
4121,
4123,
4127,
4141,
4147,
4171,
4177,
4201,
4207,
4211,
4217,
4223,
4227,
4241,
4243,
4247,
4271,
4273,
4277,
4303,
4307,
4317,
4321,
4323,
4327,
4343,
4373,
4403,
4411,
4421,
4423,
4427,
4441,
4443,
4447,
4471,
4703,
4717,
4721,
4723,
4727,
4741,
4747.
Some larger examples :
777347,
777371,
777373,
777377,
777401,
777407,
777421,
777427,
777443,
777471,
777473,
777701,
777703,
777707,
777711,
777721,
777727,
777743,
777747,
777773.