First numbers that belong to both sets:
1,
3,
7,
13,
21,
31,
43,
57,
73,
91,
111,
133,
157,
183,
211,
241,
273,
307,
343,
381,
421,
463,
507,
553,
601,
651,
703,
757,
813,
871,
931,
993,
1057,
1123,
1191,
1261,
1333,
1407,
1483,
1561,
1641,
1723,
1807,
1893,
1981,
2071,
2163,
2257,
2353,
2451,
2551,
2653,
2757,
2863,
2971,
3081,
3193,
3307,
3423,
3541,
3661,
3783,
3907,
4033,
4161,
4291,
4423,
4557,
4693,
4831,
4971,
5113,
5257,
5403,
5551,
5701,
5853,
6007,
6163,
6321,
6481,
6643,
6807,
6973,
7141,
7311,
7483,
7657,
7833,
8011,
8191,
8373,
8557,
8743,
8931,
9121,
9313,
9507,
9703,
9901,
10101,
10303,
10507,
10713,
10921,
11131,
11343,
11557,
11773,
11991,
12211,
12433,
12657,
12883,
13111,
13341,
13573,
13807,
14043,
14281,
14521,
14763,
15007,
15253,
15501,
15751,
16003,
16257,
16513,
16771,
17031,
17293,
17557,
17823,
18091,
18361,
18633,
18907,
19183,
19461,
19741,
20023,
20307,
20593,
20881,
21171,
21463,
21757,
22053,
22351,
22651,
22953,
23257,
23563,
23871,
24181,
24493,
24807,
25123,
25441,
25761,
26083,
26407,
26733,
27061,
27391,
27723,
28057,
28393,
28731,
29071,
29413,
29757,
30103,
30451,
30801,
31153,
31507,
31863,
32221,
32581,
32943,
33307,
33673,
34041,
34411,
34783,
35157,
35533,
35911,
36291,
36673,
37057,
37443,
37831,
38221,
38613,
39007,
39403,
39801,
40201,
40603,
41007,
41413,
41821,
42231,
42643,
43057,
43473,
43891,
44311,
44733,
45157,
45583,
46011,
46441,
46873,
47307,
47743,
48181,
48621,
49063,
49507,
49953,
50401,
50851,
51303,
51757,
52213,
52671,
53131,
53593,
54057,
54523,
54991,
55461,
55933,
56407,
56883,
57361,
57841,
58323,
58807,
59293,
59781,
60271,
60763,
61257,
61753,
62251,
62751,
63253,
63757,
64263,
64771,
65281,
65793,
66307,
66823,
67341,
67861,
68383,
68907,
69433,
69961,
70491,
71023,
71557,
72093,
72631,
73171,
73713,
74257,
74803,
75351,
75901,
76453,
77007,
77563,
78121.
Some larger examples :
9875307,
9881593,
9887881,
9894171,
9900463,
9906757,
9913053,
9919351,
9925651,
9931953,
9938257,
9944563,
9950871,
9957181,
9963493,
9969807,
9976123,
9982441,
9988761,
9995083.