First numbers that belong to both sets:
17,
37,
71,
79,
97,
107,
149,
179,
311,
347,
701,
739,
751,
769,
907,
937,
967,
991,
1009,
1031,
1061,
1091,
1151,
1181,
1213,
1229,
1249,
1301,
1399,
1471,
1487,
1523,
1597,
1619,
1657,
1733,
1741,
1847,
1867,
1901,
1949,
3011,
3019,
3109,
3163,
3203,
3251,
3257,
3299,
3319,
3343,
3359,
3371,
3389,
3407,
3433,
3467,
3511,
3527,
3571,
3613,
3697,
3719,
3767,
3821,
3851,
3917,
3929,
7057,
7121,
7177,
7187,
7207,
7229,
7297,
7321,
7349,
7457,
7547,
7589,
7603,
7681,
7687,
7699,
7717,
7757,
7817,
7867,
7901,
7927,
7949,
9011,
9029,
9041,
9103,
9127,
9133,
9173,
9221,
9341,
9437,
9491,
9533,
9547,
9601,
9613,
9643,
9781,
9787,
9803,
9857,
9883,
9923,
9941,
9967,
10007,
10061,
10067,
10091,
10151,
10159,
10177,
10391,
10453,
10457,
10499,
10651,
10781,
10859,
10889,
10987,
11057,
11083,
11149,
11159,
11197,
11257,
11489,
11579,
11587,
11593,
11657,
11677,
11699,
11717,
11777,
11897,
11923,
11939,
11953,
11969,
11981,
12071,
12107,
12227,
12323,
12373,
12577,
12611,
12689,
12697,
12713,
12757,
12907,
13147,
13159,
13259,
13291,
13337,
13441,
13513,
13553,
13591,
13709,
13751,
13757,
13781,
13829,
13873,
13963,
14029,
14071,
14081,
14143,
14293,
14387,
14431,
14447,
14479,
14519,
14549,
14557,
14591,
14621,
14713,
14821,
14843,
14879,
14923,
14939,
14947,
15013,
15053,
15101,
15131,
15227,
15299,
15307,
15349,
15461,
15493,
15527,
15541,
15601,
15661,
15667,
15679,
15731,
15737,
15919,
16001,
16127,
16217,
16249,
16267,
16451,
16547,
16603,
16691,
16699,
16729,
16829,
16879,
16979,
17011,
17021,
17041,
17117,
17203,
17207,
17383,
17417,
17443,
17467,
17579,
17681,
17747,
17827,
17903,
17909,
18041,
18077,
18089,
18169,
18191,
18307,
18329,
18427,
18439,
18539,
18671,
18691,
18743,
18773,
18787,
18859,
18899,
18911,
19001,
19181,
19231,
19249,
19301,
19421,
19531,
19541,
19553,
19661,
19681,
19697.
Some larger examples :
99997151,
99997357,
99997367,
99997897,
99998021,
99998231,
99998251,
99998291,
99998357,
99998413,
99998491,
99998749,
99999043,
99999073,
99999077,
99999103,
99999247,
99999307,
99999343,
99999547.