First numbers that belong to both sets:
13,
31,
37,
71,
79,
149,
157,
167,
199,
311,
359,
389,
701,
709,
733,
743,
751,
761,
941,
967,
983,
991,
1021,
1031,
1061,
1069,
1103,
1109,
1151,
1181,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1279,
1301,
1321,
1381,
1399,
1429,
1439,
1453,
1471,
1487,
1511,
1559,
1583,
1597,
1669,
1733,
1741,
1789,
1831,
1847,
1879,
1901,
1933,
1949,
3023,
3109,
3191,
3221,
3271,
3301,
3319,
3343,
3359,
3373,
3389,
3391,
3407,
3433,
3463,
3469,
3511,
3527,
3541,
3583,
3613,
3719,
3733,
3767,
3821,
3853,
3911,
3917,
7207,
7229,
7253,
7321,
7349,
7561,
7589,
7687,
7717,
7757,
7879,
7901,
7927,
7949,
7951,
9013,
9029,
9103,
9127,
9133,
9173,
9221,
9257,
9293,
9341,
9349,
9421,
9437,
9439,
9479,
9497,
9521,
9533,
9551,
9601,
9613,
9661,
9679,
9749,
9781,
9791,
9871,
9941,
9967,
10007,
10039,
10061,
10069,
10079,
10151,
10159,
10247,
10253,
10333,
10343,
10391,
10429,
10453,
10487,
10613,
10639,
10711,
10781,
10853,
10909,
11071,
11149,
11159,
11197,
11423,
11447,
11551,
11621,
11677,
11701,
11717,
11719,
11783,
11789,
11839,
11903,
11909,
11927,
11933,
11959,
11981,
12071,
12109,
12119,
12149,
12241,
12253,
12269,
12301,
12373,
12437,
12743,
12757,
12799,
12809,
12829,
12893,
12919,
12983,
13151,
13159,
13441,
13469,
13477,
13513,
13591,
13597,
13693,
13709,
13711,
13751,
13757,
13759,
13781,
13789,
13829,
13841,
13903,
13933,
14029,
14071,
14087,
14143,
14207,
14221,
14293,
14303,
14327,
14423,
14431,
14447,
14449,
14479,
14519,
14549,
14551,
14557,
14591,
14593,
14621,
14629,
14717,
14821,
14831,
14879,
14929,
14957,
15013,
15053,
15101,
15149,
15263,
15349,
15383,
15461,
15493,
15511,
15527,
15541,
15661,
15679,
15733,
15737,
15791,
15919,
15973,
16007,
16063,
16103,
16111,
16127,
16223,
16453,
16493,
16567,
16573,
16829,
16879,
16943,
17021,
17047,
17117,
17207,
17383,
17477.
Some larger examples :
9997517,
9997613,
9997621,
9997783,
9997877,
9997991,
9998239,
9998381,
9998543,
9998741,
9998887,
9998903,
9999053,
9999071,
9999167,
9999221,
9999277,
9999317,
9999463,
9999943.