First numbers that belong to both sets:
3,
23,
43,
83,
89,
113,
139,
293,
317,
337,
349,
353,
359,
383,
389,
401,
449,
467,
503,
509,
523,
547,
571,
619,
643,
683,
691,
773,
797,
811,
839,
863,
887,
983,
1013,
1093,
1097,
1217,
1237,
1283,
1303,
1307,
1381,
1409,
1429,
1433,
1439,
1489,
1499,
1553,
1559,
1601,
1613,
1621,
1637,
1699,
1723,
1811,
1873,
1879,
1889,
1913,
2003,
2039,
2069,
2083,
2089,
2179,
2221,
2239,
2251,
2357,
2393,
2399,
2423,
2593,
2659,
2689,
2699,
2713,
2719,
2791,
2803,
2837,
2909,
2971,
3001,
3049,
3067,
3089,
3137,
3191,
3221,
3259,
3347,
3499,
3533,
3541,
3643,
3677,
3701,
3739,
3769,
3797,
3823,
3863,
3911,
3923,
4003,
4027,
4133,
4177,
4289,
4397,
4423,
4451,
4463,
4493,
4549,
4567,
4651,
4679,
4703,
4733,
4817,
4877,
4889,
4919,
4933,
4937,
4943,
4957,
4973,
5081,
5087,
5153,
5171,
5197,
5209,
5233,
5309,
5351,
5443,
5449,
5479,
5483,
5503,
5507,
5521,
5531,
5581,
5653,
5669,
5693,
5701,
5749,
5783,
5813,
5843,
5861,
5903,
5927,
5939,
5953,
5987,
6011,
6047,
6053,
6133,
6173,
6221,
6229,
6379,
6473,
6481,
6491,
6571,
6581,
6691,
6703,
6737,
6763,
6793,
6829,
6841,
6883,
6917,
6983,
7001,
7109,
7193,
7247,
7433,
7481,
7489,
7507,
7529,
7549,
7577,
7607,
7621,
7643,
7649,
7673,
7703,
7793,
7829,
7937,
8017,
8069,
8093,
8233,
8273,
8329,
8377,
8431,
8543,
8669,
8693,
8719,
8761,
8839,
8863,
8867,
8893,
8941,
8971,
9001,
9067,
9187,
9293,
9403,
9479,
9497,
9521,
9539,
9551,
9623,
9749,
9769,
9859,
9907,
9931,
10069,
10079,
10103,
10181,
10193,
10273,
10303,
10369,
10399,
10429,
10459,
10531,
10613,
10639,
10667,
10753,
10789,
10799,
10861,
10867,
10909,
10957,
10979,
10993,
11003,
11059,
11071,
11093,
11119,
11131,
11161,
11173,
11177,
11243,
11491,
11503,
11597.
Some larger examples :
99997879,
99998257,
99998299,
99998323,
99998363,
99998449,
99998497,
99998611,
99998933,
99998971,
99998999,
99999089,
99999259,
99999373,
99999401,
99999439,
99999643,
99999721,
99999847,
99999971.