First numbers that belong to both sets:
7,
13,
21,
31,
73,
91,
121,
127,
133,
157,
211,
241,
259,
273,
307,
341,
364,
381,
400,
421,
463,
511,
601,
651,
757,
781,
820,
871,
1057,
1123,
1261,
1407,
1483,
1555,
1561,
1807,
1893,
1981,
2047,
2071,
2257,
2353,
2380,
2551,
2653,
2801,
2955,
3193,
3280,
3423,
3661,
3907,
4033,
4161,
4291,
4557,
4681,
4831,
5113,
5220,
5257,
5403,
5461,
5551,
5853,
6163,
6175,
6643,
6973,
7141,
7240,
7483,
7657,
8011,
8191,
8557,
8931,
9313,
9331,
9703,
9724,
9841,
10101,
10921,
11111,
11557,
11773,
12433,
12657,
12883,
13111,
13341,
13807,
14281,
14425,
14763,
15253,
15751,
16276,
16513,
16771,
17293,
17823,
18279,
18361,
18907,
19461,
19531,
20023,
20307,
20440,
22053,
22651,
22765,
23257,
23563,
23871,
24493,
25260,
25441,
26083,
26407,
27061,
27931,
28057,
29071,
29413,
29757,
30451,
30784,
30801,
31153,
31507,
31863,
32767,
32943,
34783,
35157,
35911,
36673,
37057,
37060,
37831,
38613,
39007,
40201,
41007,
41413,
41821,
44136,
44311,
44733,
45157,
46011,
46441,
46873,
47307,
47989,
48181,
49507,
50401,
52060,
52213,
54241,
54523,
54991,
55933,
57361,
57841,
58807,
59293,
60763,
60880,
61753,
62751,
63757,
64771,
65281,
65641,
65793,
66307,
66430,
67341,
68383,
69433,
69905,
70491,
70644,
72093,
72631,
73713,
74257,
74803,
75351,
75895,
75901,
78121,
78681,
79243,
79807,
80373,
80941,
81400,
81511,
82657,
83811,
84391,
84973,
85557,
86731,
87381,
88507,
88741,
89103,
90301,
90903,
93196,
93331,
93943,
95791,
97033,
97656,
98911,
100173,
100807,
101443,
103363,
104007,
104653,
105951,
109231,
109893,
110557,
111223,
111891,
112561,
112945,
113233,
114583,
115261,
115941,
116623,
118681,
119371,
120063,
121453,
122151,
122851,
124257,
127807,
129241,
131071,
131407,
132133,
133591,
135793,
138013,
138757,
139503,
141753,
142507,
143365,
144781,
146307,
147841,
149383,
150933,
151711,
154057,
154843,
156421,
157213,
158803,
159601,
161203,
162007,
163621,
166057,
167691,
168421.
Some larger examples :
996380791,
996443923,
996507057,
996759613,
997075353,
997201663,
997264821,
997327981,
997706983,
997959691,
998086057,
998338813,
998591601,
998654803,
998907631,
999413383,
999729543,
999856021,
999919263,
999982507.