First numbers that belong to both sets:
3,
7,
13,
19,
23,
31,
47,
83,
89,
109,
113,
131,
139,
167,
181,
199,
233,
293,
317,
337,
353,
359,
389,
401,
409,
443,
449,
467,
491,
503,
509,
571,
577,
647,
677,
683,
743,
761,
797,
811,
829,
839,
863,
887,
911,
919,
941,
953,
971,
983,
1039,
1097,
1109,
1193,
1201,
1217,
1259,
1283,
1291,
1327,
1381,
1409,
1439,
1459,
1499,
1553,
1559,
1583,
1601,
1621,
1637,
1669,
1709,
1759,
1889,
1913,
1979,
2003,
2017,
2029,
2039,
2069,
2099,
2179,
2207,
2213,
2243,
2251,
2269,
2351,
2357,
2393,
2441,
2447,
2477,
2543,
2557,
2621,
2659,
2699,
2719,
2731,
2777,
2837,
2843,
2861,
2909,
2927,
2939,
2957,
2971,
3041,
3083,
3089,
3137,
3191,
3221,
3259,
3271,
3347,
3413,
3541,
3559,
3593,
3677,
3709,
3779,
3797,
3803,
3863,
3881,
3889,
3919,
3947,
4007,
4099,
4133,
4139,
4289,
4297,
4339,
4397,
4451,
4567,
4643,
4679,
4703,
4733,
4789,
4801,
4817,
4889,
4909,
4937,
4969,
5087,
5153,
5171,
5197,
5309,
5351,
5399,
5483,
5507,
5531,
5581,
5669,
5701,
5791,
5813,
5851,
5903,
5939,
5987,
6011,
6047,
6079,
6101,
6287,
6329,
6427,
6481,
6491,
6581,
6607,
6619,
6661,
6709,
6737,
6803,
6833,
6841,
6911,
6971,
7001,
7043,
7079,
7109,
7129,
7193,
7247,
7253,
7309,
7417,
7433,
7481,
7507,
7529,
7541,
7561,
7591,
7607,
7649,
7727,
7793,
7829,
7853,
7907,
7937,
8011,
8059,
8069,
8093,
8171,
8191,
8221,
8297,
8329,
8369,
8389,
8527,
8543,
8581,
8609,
8681,
8741,
8807,
8849,
8933,
8951,
9001,
9067,
9109,
9209,
9227,
9257,
9377,
9467,
9479,
9521,
9551,
9649,
9661,
9743,
9769,
9791,
9839,
10039,
10079,
10111,
10169,
10181,
10193,
10247,
10259,
10343,
10369,
10399,
10433,
10487,
10531,
10601,
10639,
10667,
10711,
10739,
10799,
10837,
10867,
10891.
Some larger examples :
99996779,
99996863,
99997267,
99997619,
99997691,
99997901,
99997913,
99997957,
99998111,
99998207,
99998417,
99998797,
99998999,
99999089,
99999131,
99999551,
99999721,
99999827,
99999847,
99999971.