First numbers that belong to both sets:
7,
13,
15,
21,
31,
43,
73,
111,
121,
127,
133,
157,
183,
211,
241,
259,
307,
343,
421,
463,
511,
553,
601,
757,
1057,
1093,
1123,
1191,
1261,
1333,
1407,
1483,
1555,
1561,
1641,
1723,
1893,
1981,
2047,
2257,
2551,
2653,
2757,
2801,
2863,
2971,
3307,
3541,
3661,
3907,
4291,
4423,
4831,
5113,
5257,
5701,
6007,
6163,
6481,
8011,
8191,
9901,
10303,
10507,
10713,
10921,
11111,
11131,
11155,
11773,
11991,
12211,
12433,
12657,
12883,
13111,
13341,
13573,
13807,
14281,
14425,
15007,
15253,
15501,
15751,
16105,
16257,
16513,
16771,
17031,
17293,
17557,
18091,
18279,
18361,
18633,
18907,
19183,
19531,
20023,
20307,
20593,
21171,
21757,
22053,
22621,
22651,
23563,
24181,
24493,
24807,
25123,
26083,
26407,
27061,
27723,
28057,
28393,
29071,
29413,
30103,
30451,
30941,
31153,
31507,
32221,
34783,
35533,
35911,
37057,
37831,
40201,
41413,
42643,
43057,
43891,
44311,
45157,
45583,
46441,
47743,
48181,
51757,
52213,
53593,
54523,
55933,
55987,
57841,
60271,
60763,
62251,
65281,
67861,
68383,
71023,
74257,
77563,
78121,
82657,
83233,
84391,
86143,
88741,
95791,
98283,
98911,
100173,
100807,
101443,
102081,
102721,
103363,
104007,
104653,
105301,
105951,
106603,
107257,
108571,
109231,
109893,
110557,
111151,
111223,
112561,
112945,
113233,
113907,
114583,
115261,
115941,
116623,
117307,
118681,
119371,
121453,
122851,
123553,
124257,
124963,
127093,
127807,
128523,
129241,
129961,
130683,
131071,
131407,
132133,
132861,
134323,
136531,
137257,
137271,
137561,
138013,
141001,
141753,
142507,
143263,
143365,
144021,
145543,
146307,
147073,
147841,
148611,
150933,
151711,
154057,
155631,
156421,
157213,
158803,
161203,
162007,
162813,
163621,
164431,
166057,
166873,
167691,
169333,
170983,
171811,
172641,
173473,
174307,
175143,
177663,
178507,
179353,
180201,
181903,
182757,
183613,
184471,
186193,
188791,
189661,
191407,
193161,
194041,
194923,
195807,
196693,
198535,
199363,
200257,
202051,
202951,
204205,
204757,
205663,
207481,
208393,
209307,
212061,
212983.
Some larger examples :
19655923,
19691407,
19709161,
19718041,
19726923,
19744693,
19753581,
19756171,
19771363,
19789153,
19815853,
19842571,
19860393,
19896061,
19904983,
19922833,
19949623,
19958557,
19976431,
19994313.