First numbers that belong to both sets:
13,
31,
79,
97,
167,
709,
739,
761,
907,
937,
1009,
1033,
1151,
1487,
1511,
1733,
1847,
1933,
3019,
3067,
3083,
3109,
3301,
3319,
3371,
3391,
3463,
3643,
3803,
7457,
7481,
7547,
7589,
7603,
7841,
9001,
9013,
9103,
9133,
9857,
10009,
10039,
10067,
10151,
10177,
10247,
10333,
10457,
10487,
11149,
11159,
11197,
11243,
11423,
11719,
11971,
12149,
12437,
12491,
12743,
12841,
13009,
13457,
13499,
13697,
13757,
13841,
13903,
13933,
14057,
14081,
14087,
14207,
14327,
14387,
14449,
14549,
14551,
14821,
14831,
14939,
15101,
15299,
15377,
15461,
15541,
15679,
15737,
16007,
16063,
16127,
16217,
16451,
16603,
16937,
17033,
17207,
17443,
17573,
17627,
17669,
17713,
17827,
17911,
18041,
18253,
18413,
18743,
18757,
18899,
19333,
19421,
19763,
30029,
30139,
30319,
30323,
30367,
30643,
30661,
30931,
31033,
31307,
31393,
31481,
31771,
32009,
32257,
32303,
32369,
32411,
32693,
32887,
32983,
33013,
33029,
33071,
33301,
33391,
33589,
33931,
34147,
34211,
34471,
34603,
34721,
34781,
34897,
34919,
35227,
35281,
35569,
35983,
36037,
36061,
36209,
36607,
36791,
36809,
37489,
37571,
37619,
38239,
38287,
38329,
38923,
38953,
39313,
39419,
39623,
39749,
39799,
39829,
70009,
70061,
70241,
70271,
70313,
70457,
70589,
70663,
70937,
71069,
71261,
71537,
71569,
72161,
72253,
72341,
72379,
72577,
72671,
72871,
73063,
73421,
73517,
73751,
73849,
73907,
73961,
74143,
74201,
75041,
75169,
75223,
75401,
75407,
75431,
75731,
75767,
75781,
76001,
76303,
76757,
77101,
77351,
77527,
77587,
78041,
78059,
78283,
78341,
78401,
78439,
78577,
78823,
79111,
79229,
79349,
79399,
79631,
79843,
79939,
90001,
90007,
90023,
90031,
90089,
90263,
90863,
91303,
91493,
91673,
91711,
91943,
92003,
92033,
92297,
92383,
92893,
93001,
93103,
93283,
93487,
93941,
93997,
94111,
94121,
94397,
94441,
94541,
94793,
94837,
95087,
95111,
96017,
96157,
96323,
96517,
96553,
96671,
97327,
97651,
98009,
98473,
98507,
98533,
99251,
99397,
99431.
Some larger examples :
9993089,
9993167,
9993337,
9993703,
9993743,
9994363,
9994373,
9995329,
9996979,
9997303,
9997517,
9997601,
9997613,
9998281,
9998323,
9998903,
9999299,
9999317,
9999337,
9999713.