First numbers that belong to both sets:
3,
5,
7,
31,
569,
659,
883,
1021,
1289,
1873,
2549,
2593,
2729,
3359,
3539,
3583,
3673,
3853,
3919,
4259,
4483,
4933,
5519,
5653,
5743,
6553,
7879,
8219,
8599,
9343,
9433,
9679,
9769,
9859,
11549,
12539,
12919,
13009,
13933,
13999,
14249,
14563,
15329,
15643,
15733,
15889,
16139,
16229,
16363,
16453,
16633,
16901,
17419,
17599,
17959,
18119,
18253,
18521,
18523,
19421,
19423,
19961,
20549,
20639,
20773,
21493,
22483,
22573,
22619,
23203,
23293,
23563,
23743,
23833,
24373,
24419,
24979,
26263,
26711,
26891,
27409,
27791,
28309,
29209,
29389,
29569,
30089,
30269,
30493,
30853,
31079,
31393,
32563,
32719,
32833,
33149,
33329,
33619,
35083,
35509,
35533,
35801,
36343,
36791,
37309,
37691,
37781,
38569,
38749,
39043,
39827,
39829,
40529,
41203,
41519,
42283,
42463,
42643,
43049,
43319,
43543,
43609,
43789,
44129,
44533,
44621,
44623,
45119,
45319,
45343,
45589,
46309,
47389,
47659,
48311,
48649,
49033,
49121,
49123,
49279,
49369,
49391,
49549,
51059,
51239,
51419,
52183,
52363,
52543,
52901,
53173,
54499,
55219,
55333,
56209,
56479,
56501,
57221,
57223,
57559,
58369,
58391,
58907,
59359,
59471,
59627,
59629,
60103,
60889,
62129,
62981,
63029,
63589,
64153,
64579,
64781,
65839,
65927,
65929,
66109,
66851,
67189,
67211,
67931,
68111,
68449,
68897,
69191,
69259,
69931,
70139,
70183,
70879,
71263,
71711,
72253,
73063,
73849,
74411,
75401,
76369,
77269,
78191,
78439,
78887,
78977,
79631,
79697,
80779,
81701,
81971,
82219,
82759,
83233,
84221,
84223,
85817,
85931,
86111,
86291,
86627,
86629,
87641,
88339,
88607,
89597,
89821,
90073,
90679,
91153,
92569,
92681,
92861,
93133,
93491,
93559,
93761,
94007,
95089,
95987,
96797,
97159,
97607,
97787,
98011,
98731,
98867,
98911,
99139,
99721,
99991,
101279,
101503,
102763,
103393,
103843,
104383,
104473,
106319,
106453,
106543,
107509,
108499,
108791,
108881,
108949,
109849,
110503,
110729,
110819,
111269,
111493,
112573,
113159,
113383,
113719,
114643,
114799,
115319,
115363.
Some larger examples :
999979621,
999982391,
999982547,
999982637,
999984281,
999984371,
999984617,
999984707,
999985247,
999985967,
999986171,
999986261,
999986641,
999988217,
999989297,
999990581,
999994157,
999994159,
999994651,
999996071.