First numbers that belong to both sets:
13,
31,
73,
113,
167,
199,
337,
359,
389,
709,
743,
761,
941,
953,
971,
983,
1021,
1033,
1069,
1097,
1109,
1153,
1193,
1201,
1217,
1231,
1237,
1259,
1279,
1283,
1321,
1381,
1409,
1429,
1439,
1453,
1499,
1559,
1583,
1601,
1669,
1723,
1789,
1811,
1831,
1879,
1913,
1933,
1979,
3023,
3049,
3067,
3083,
3089,
3121,
3169,
3191,
3221,
3271,
3301,
3347,
3373,
3391,
3463,
3469,
3541,
3583,
3643,
3803,
3853,
3889,
3911,
7027,
7043,
7193,
7219,
7253,
7433,
7459,
7481,
7507,
7529,
7561,
7577,
7643,
7649,
7673,
7879,
7951,
7963,
9001,
9013,
9161,
9209,
9227,
9241,
9257,
9293,
9349,
9403,
9421,
9439,
9467,
9479,
9497,
9521,
9551,
9661,
9679,
9721,
9749,
9769,
9791,
9833,
9931,
10009,
10039,
10069,
10079,
10247,
10273,
10321,
10333,
10343,
10429,
10459,
10487,
10613,
10639,
10711,
10739,
10867,
10891,
10909,
10939,
10993,
11003,
11071,
11161,
11243,
11329,
11353,
11423,
11447,
11551,
11621,
11701,
11719,
11779,
11783,
11789,
11833,
11839,
11909,
11927,
11959,
11971,
12073,
12109,
12113,
12119,
12149,
12241,
12253,
12269,
12289,
12301,
12437,
12491,
12553,
12619,
12641,
12659,
12743,
12763,
12799,
12809,
12829,
12893,
12919,
12983,
13009,
13151,
13163,
13267,
13297,
13469,
13477,
13499,
13523,
13597,
13619,
13693,
13697,
13711,
13759,
13789,
13841,
13903,
13933,
14057,
14087,
14107,
14153,
14177,
14207,
14221,
14251,
14303,
14323,
14327,
14423,
14449,
14551,
14563,
14593,
14629,
14633,
14657,
14717,
14831,
14891,
14897,
14929,
14957,
15091,
15139,
15149,
15241,
15263,
15289,
15377,
15383,
15497,
15511,
15643,
15649,
15683,
15733,
15791,
15937,
15973,
16007,
16063,
16073,
16103,
16111,
16193,
16433,
16453,
16481,
16493,
16573,
16651,
16747,
16763,
16883,
16943,
17033,
17209,
17393,
17491,
17519,
17573,
17599,
17627,
17669,
17683,
17713,
17737,
17749,
17839,
17863,
17911,
17923,
17939,
17959,
18013,
18133,
18199.
Some larger examples :
99997129,
99997189,
99997571,
99997873,
99997981,
99998299,
99998323,
99998449,
99998497,
99998869,
99998971,
99999079,
99999113,
99999187,
99999259,
99999563,
99999589,
99999623,
99999643,
99999827.