First numbers that belong to both sets:
13,
17,
37,
73,
97,
113,
149,
157,
337,
389,
701,
709,
733,
761,
769,
937,
941,
953,
1009,
1021,
1033,
1061,
1069,
1097,
1109,
1153,
1181,
1193,
1201,
1213,
1217,
1229,
1237,
1249,
1301,
1321,
1381,
1409,
1429,
1453,
1597,
1601,
1657,
1669,
1733,
1741,
1753,
1789,
1901,
1913,
1933,
1949,
3049,
3089,
3109,
3121,
3169,
3221,
3257,
3301,
3373,
3389,
3433,
3469,
3541,
3613,
3697,
3733,
3821,
3853,
3889,
3917,
3929,
7057,
7121,
7177,
7193,
7229,
7253,
7297,
7321,
7349,
7433,
7457,
7481,
7529,
7561,
7577,
7589,
7649,
7673,
7681,
7717,
7757,
7817,
7841,
7901,
7949,
9001,
9013,
9029,
9041,
9133,
9161,
9173,
9209,
9221,
9241,
9257,
9293,
9341,
9349,
9421,
9437,
9497,
9521,
9533,
9601,
9613,
9661,
9721,
9749,
9769,
9781,
9833,
9857,
9941,
10009,
10061,
10069,
10177,
10253,
10273,
10321,
10333,
10429,
10453,
10457,
10613,
10781,
10853,
10889,
10909,
10993,
11057,
11149,
11161,
11197,
11257,
11329,
11353,
11489,
11497,
11593,
11621,
11657,
11677,
11701,
11717,
11777,
11789,
11833,
11897,
11909,
11933,
11953,
11969,
11981,
12073,
12109,
12113,
12149,
12241,
12253,
12269,
12289,
12301,
12373,
12437,
12553,
12577,
12641,
12689,
12697,
12713,
12757,
12809,
12829,
12841,
12893,
13009,
13297,
13337,
13441,
13457,
13469,
13477,
13513,
13553,
13597,
13693,
13697,
13709,
13757,
13781,
13789,
13829,
13841,
13873,
13933,
14029,
14057,
14081,
14153,
14177,
14221,
14293,
14449,
14549,
14557,
14593,
14621,
14629,
14633,
14657,
14713,
14717,
14821,
14897,
14929,
14957,
15013,
15053,
15101,
15149,
15241,
15289,
15349,
15377,
15461,
15493,
15497,
15541,
15601,
15649,
15661,
15733,
15737,
15937,
15973,
16001,
16073,
16193,
16217,
16249,
16433,
16453,
16481,
16493,
16573,
16729,
16829,
16937,
17021,
17033,
17041,
17117,
17209,
17393,
17417,
17477,
17573,
17669,
17681,
17713,
17737,
17749,
17909,
18013,
18041.
Some larger examples :
199995889,
199995953,
199996141,
199996597,
199996681,
199996697,
199996813,
199997521,
199997761,
199997869,
199998157,
199998221,
199998637,
199998713,
199999061,
199999133,
199999309,
199999361,
199999661,
199999777.