First numbers that belong to both sets:
13,
17,
31,
37,
73,
79,
97,
107,
157,
167,
179,
199,
701,
709,
733,
743,
761,
769,
941,
953,
967,
971,
1009,
1033,
1069,
1109,
1153,
1193,
1201,
1213,
1231,
1249,
1259,
1301,
1321,
1453,
1583,
1597,
1657,
1669,
1741,
1753,
1831,
1867,
1933,
3011,
3083,
3109,
3121,
3163,
3169,
3203,
3251,
3257,
3271,
3299,
3301,
3343,
3371,
3373,
3433,
3463,
3467,
3469,
3583,
3613,
3697,
3719,
3733,
3851,
3853,
3889,
7043,
7057,
7177,
7207,
7219,
7253,
7297,
7321,
7459,
7561,
7681,
7687,
7699,
7717,
7817,
7841,
7927,
9011,
9013,
9161,
9227,
9241,
9257,
9349,
9421,
9547,
9601,
9613,
9781,
9803,
9833,
9857,
9923,
10009,
10177,
10247,
10253,
10321,
10333,
10343,
10391,
10453,
10457,
10499,
10781,
10853,
10891,
11057,
11329,
11353,
11489,
11587,
11593,
11657,
11777,
11783,
11789,
11903,
11909,
11969,
12253,
12269,
12289,
12301,
12323,
12491,
12547,
12553,
12577,
12619,
12697,
12713,
12799,
12809,
12829,
13009,
13441,
13477,
13513,
13759,
13873,
14071,
14143,
14323,
14387,
14449,
14591,
14593,
14629,
14633,
14831,
14843,
14897,
14929,
15101,
15227,
15263,
15349,
15493,
15497,
15649,
15679,
15791,
15803,
15937,
16001,
16103,
16127,
16249,
16427,
16547,
16567,
16573,
16603,
16651,
16699,
16747,
16937,
16943,
17011,
17033,
17041,
17047,
17203,
17209,
17443,
17467,
17477,
17579,
17669,
17681,
17747,
17749,
17827,
17923,
17959,
18089,
18307,
18427,
18439,
18539,
18593,
18637,
18691,
18731,
18773,
18787,
18913,
19001,
19219,
19237,
19249,
19333,
19423,
19471,
19489,
19531,
19541,
19681,
19793,
30139,
30197,
30271,
30319,
30367,
30557,
30643,
30649,
30757,
30851,
30853,
30881,
30911,
30971,
31183,
31327,
31481,
31543,
31643,
31721,
31741,
31873,
31963,
31981,
32143,
32173,
32203,
32213,
32233,
32257,
32303,
32377,
32411,
32441,
32467,
32479,
32497,
32563,
32647,
32687,
32713,
32749,
32783,
32869,
32887,
32933,
32983,
32999.
Some larger examples :
9997621,
9997643,
9997783,
9997877,
9997987,
9998201,
9998321,
9998459,
9998543,
9998903,
9999053,
9999071,
9999167,
9999193,
9999299,
9999419,
9999463,
9999739,
9999943,
9999971.