First numbers that belong to both sets:
91,
133,
247,
259,
451,
481,
511,
595,
949,
1261,
1387,
1417,
1615,
1729,
1843,
1891,
2047,
2071,
2091,
2119,
2431,
2465,
2509,
2821,
2955,
3031,
3097,
3145,
3277,
3367,
3589,
3655,
3667,
4033,
4039,
4141,
4411,
4681,
4921,
5083,
5151,
5461,
5551,
5611,
6031,
6205,
6601,
6643,
7141,
7471,
7735,
8071,
8119,
8245,
8401,
8695,
9061,
9079,
9253,
9265,
9367,
9709,
9997,
10213,
10573,
10585,
10795,
12403,
12901,
13021,
13741,
13747,
13855,
13981,
14089,
14611,
14701,
14833,
15051,
15181,
15811,
15841,
16021,
16441,
16531,
16771,
17563,
17611,
18019,
18031,
18151,
18631,
18721,
18745,
18907,
18967,
19345,
19951,
20419,
20595,
20995,
21037,
21679,
21931,
23001,
23281,
24199,
24643,
24727,
24871,
25141,
25351,
26335,
26467,
26599,
27223,
27511,
27721,
28231,
28453,
28645,
28939,
29341,
31171,
31609,
31621,
32407,
32551,
35371,
36661,
36805,
37231,
37921,
38165,
38503,
39491,
40501,
40885,
40921,
41041,
41245,
42001,
43435,
44011,
44317,
45551,
46657,
47197,
47989,
48133,
48709,
49045,
49141,
49231,
49267,
49471,
49567,
49987,
50251,
50737,
50881,
51319,
52429,
52507,
52633,
52801,
53083,
53983,
54223,
54691,
54811,
55423,
55537,
55651,
55699,
55831,
56137,
56551,
57589,
57715,
61249,
62745,
62893,
63973,
64345,
64741,
64771,
65311,
65641,
65683,
66991,
68101,
68191,
68341,
69601,
70579,
71905,
72583,
72631,
73261,
73801,
74011,
74023,
74593,
75055,
75361,
76627,
76741,
76921,
77161,
78013,
78403,
79003,
80665,
80971,
81631,
81691,
82411,
83293,
84169,
86731,
87061,
88621,
88831,
90751,
92491,
92701,
92929,
93031,
93805,
93961,
93991,
94051,
94831,
96139,
96691,
96985,
97921,
98623,
98671,
98881,
102277,
104653,
104923,
106141,
106951,
107929,
109291,
109861,
111055,
111361,
111841,
112141,
112147,
113201,
113821,
114589,
114835,
115231,
116935,
117181,
117895,
118027,
118405,
119461,
120171,
121435,
122479,
123151,
124015,
124645,
125341,
125401,
125809,
126133,
126217,
126331,
126673,
126701,
127909.
Some larger examples :
998969461,
999007465,
999039581,
999066949,
999104791,
999151231,
999165691,
999271663,
999391051,
999479629,
999497599,
999518629,
999582991,
999600043,
999695581,
999764221,
999811411,
999844411,
999901111,
999903451.