First numbers that belong to both sets:
17,
71,
113,
149,
311,
337,
347,
359,
389,
739,
751,
907,
937,
983,
1031,
1061,
1091,
1097,
1103,
1151,
1181,
1217,
1223,
1229,
1237,
1283,
1381,
1399,
1409,
1429,
1439,
1487,
1499,
1511,
1523,
1559,
1601,
1619,
1723,
1733,
1811,
1847,
1879,
1901,
1913,
1949,
3019,
3049,
3067,
3089,
3191,
3221,
3347,
3359,
3389,
3407,
3527,
3541,
3643,
3911,
3917,
3929,
7121,
7187,
7193,
7229,
7349,
7433,
7457,
7481,
7507,
7523,
7529,
7547,
7577,
7589,
7643,
7649,
7673,
7757,
7867,
7901,
7949,
9001,
9029,
9041,
9103,
9127,
9133,
9173,
9221,
9293,
9341,
9403,
9437,
9479,
9491,
9497,
9521,
9533,
9551,
9643,
9749,
9769,
9787,
9871,
9883,
9931,
9941,
9967,
10007,
10061,
10067,
10069,
10079,
10159,
10273,
10429,
10459,
10613,
10639,
10651,
10859,
10867,
10889,
10909,
10993,
11003,
11071,
11083,
11149,
11161,
11197,
11243,
11257,
11497,
11621,
11717,
11779,
11833,
11839,
11923,
11939,
11953,
11959,
11971,
12073,
12113,
12119,
12149,
12373,
12437,
12611,
12641,
12659,
12689,
12743,
12757,
12841,
12893,
12907,
13151,
13291,
13337,
13457,
13469,
13523,
13553,
13591,
13597,
13619,
13693,
13697,
13709,
13751,
13757,
13789,
13829,
13841,
13963,
14081,
14087,
14153,
14177,
14207,
14251,
14293,
14303,
14327,
14423,
14479,
14549,
14563,
14621,
14657,
14717,
14891,
14923,
14947,
15013,
15091,
15139,
15241,
15289,
15307,
15377,
15383,
15461,
15683,
15731,
15733,
15737,
15907,
15919,
16063,
16111,
16193,
16217,
16223,
16267,
16433,
16451,
16453,
16481,
16493,
16691,
16729,
16763,
16829,
16883,
16979,
17021,
17117,
17207,
17393,
17417,
17491,
17519,
17573,
17627,
17683,
17713,
17737,
17863,
17903,
17911,
17939,
18013,
18041,
18077,
18133,
18191,
18199,
18253,
18329,
18353,
18413,
18461,
18701,
18719,
18743,
18749,
18757,
18803,
18859,
18899,
18911,
19013,
19037,
19051,
19301,
19421,
19477,
19543,
19553,
19577,
19661,
19697,
19751,
19763.
Some larger examples :
199997003,
199997123,
199997521,
199997723,
199997761,
199998221,
199998559,
199998713,
199998923,
199998971,
199999127,
199999133,
199999307,
199999309,
199999343,
199999361,
199999447,
199999661,
199999777,
199999931.