First numbers that belong to both sets:
4,
6,
209,
221,
253,
319,
341,
451,
781,
893,
949,
1037,
1079,
1081,
1157,
1387,
1643,
2117,
2581,
2809,
3239,
3481,
3649,
4187,
4453,
6889,
11881,
15251,
17113,
17741,
17819,
18923,
20651,
21037,
22879,
22987,
26051,
27089,
27331,
28321,
28841,
28907,
29149,
29591,
29987,
30847,
31553,
33919,
34547,
34691,
35947,
36853,
37129,
37327,
37391,
37523,
38771,
38989,
39187,
39211,
39289,
39407,
39751,
40247,
40633,
40741,
41303,
41449,
41623,
43157,
43507,
44377,
44743,
45173,
45347,
45349,
46009,
46339,
46517,
47959,
48689,
48929,
48931,
49141,
49403,
49447,
50573,
51409,
52447,
52621,
53293,
54737,
54827,
54937,
55687,
55973,
56291,
57007,
57263,
57371,
58561,
58649,
59599,
60227,
60547,
60701,
60941,
61073,
61823,
61889,
62663,
62729,
63169,
63269,
63619,
63961,
64349,
65041,
65363,
65473,
65869,
66971,
67357,
68093,
68129,
68303,
68569,
68801,
69451,
69647,
70253,
70531,
70597,
71377,
71501,
71609,
72361,
72581,
73793,
73813,
73903,
73937,
74807,
74939,
75301,
75841,
75863,
76127,
76151,
76217,
77683,
78937,
78961,
79061,
79403,
79753,
82091,
82169,
83381,
83533,
83767,
83887,
84373,
84781,
84803,
85387,
85409,
85759,
86147,
86167,
86299,
87809,
88637,
88889,
89197,
89773,
90751,
91337,
91349,
91933,
91999,
92329,
92341,
93451,
93749,
93991,
94037,
94267,
95647,
96253,
96647,
96727,
97079,
97289,
97343,
97507,
97751,
97837,
98071,
98303,
98677,
98741,
99007,
99283,
99779,
100231,
100273,
100561,
100879,
101069,
101551,
102721,
103127,
104077,
104813,
105011,
105113,
105289,
105377,
105419,
105851,
106027,
107659,
107813,
108331,
109223,
110213,
111329,
111557,
112949,
113059,
113389,
114139,
114403,
114511,
114943,
115393,
115439,
116321,
116353,
117409,
118007,
118403,
118999,
119261,
119957,
120409,
120541,
120839,
120971,
122159,
122933,
123107,
123241,
124099,
124211,
125071,
126029,
126283,
126911,
127187,
127451,
127559,
127573,
128641,
128773,
129071,
130217,
131407,
131981,
132133,
133061,
133667,
133907,
134041,
134149,
134557,
134801,
135143,
135361.
Some larger examples :
9993133,
9993199,
9993241,
9993287,
9993761,
9993847,
9994081,
9995137,
9995357,
9997409,
9997607,
9997619,
9998101,
9998773,
9998831,
9999359,
9999611,
9999721,
10000043,
10000153.