First numbers that belong to both sets:
5,
53,
257,
263,
373,
593,
977,
1103,
1223,
1511,
1907,
2287,
2417,
2903,
3307,
4409,
4457,
4597,
4691,
5303,
5387,
6263,
6977,
7523,
7583,
8117,
8713,
8747,
9473,
9871,
10657,
11299,
11497,
12497,
12647,
12653,
12841,
12973,
13457,
13463,
15767,
15797,
15907,
15913,
16223,
16487,
16787,
17431,
17483,
18341,
19463,
19477,
19577,
19739,
19949,
20107,
21163,
21661,
21997,
22073,
22259,
23327,
23333,
23767,
23801,
24077,
24677,
25463,
25621,
25673,
26177,
26183,
26393,
26693,
27067,
27773,
29173,
29269,
29333,
29873,
30059,
30097,
30103,
30449,
30977,
32083,
33113,
33857,
34543,
34631,
34673,
35753,
35851,
36067,
36677,
36821,
37957,
38183,
38867,
40111,
40283,
41017,
41263,
41479,
41513,
41603,
41947,
42187,
42683,
43189,
44041,
45757,
47527,
47869,
48259,
48533,
49069,
50417,
50441,
51413,
51461,
51551,
52529,
52727,
53617,
53623,
54673,
54851,
55793,
55843,
56087,
56093,
56149,
56437,
56773,
56957,
57119,
58543,
58693,
59113,
60083,
60133,
60337,
60509,
61553,
61637,
62213,
62597,
63907,
65557,
65707,
65957,
66431,
66809,
66883,
67169,
67511,
68699,
69623,
71011,
71993,
72031,
72733,
73127,
73477,
73523,
74567,
74897,
75217,
75527,
75533,
75641,
75787,
76579,
76913,
77081,
77563,
77951,
78797,
78803,
79823,
79973,
80917,
81077,
81689,
81937,
82463,
82493,
82787,
82793,
83003,
83437,
83443,
84443,
85049,
85121,
85837,
86137,
86263,
87427,
87547,
89107,
89113,
89387,
89527,
89983,
92003,
93053,
93377,
94427,
94433,
95267,
95273,
95707,
96001,
96377,
98473,
98597,
101287,
103669,
104003,
104053,
104207,
104543,
104717,
104723,
105977,
106681,
108217,
108643,
108739,
110681,
110813,
111509,
111773,
111863,
112181,
112297,
112583,
112939,
113117,
113921,
114001,
114901,
115757,
115763,
119033,
119267,
119557,
119759,
120097,
120557,
120563,
120817,
120823,
121013,
121421,
121553,
122099,
122273,
122579,
122833,
123433,
124459,
125107,
125539,
125737,
126317,
126839,
127487,
127663,
127733,
128153,
128449,
128467,
128483,
129763,
130343,
130829,
131933.
Some larger examples :
999956449,
999956767,
999956927,
999960601,
999962107,
999964783,
999970859,
999973147,
999974447,
999975089,
999978773,
999980623,
999980689,
999986719,
999988453,
999989429,
999994747,
999996383,
999998339,
999998789.