First numbers that belong to both sets:
1177,
1651,
2059,
2839,
13579,
31753,
34633,
53071,
78943,
93799,
96727,
118483,
144841,
164737,
187279,
221563,
246019,
310993,
364237,
395413,
514609,
722803,
857611,
1094617,
1245031,
1574899,
1817743,
1873591,
2269093,
2488513,
2855299,
3514711,
3586213,
3610207,
3700897,
4151869,
4772737,
6027193,
6405601,
7273531,
7445101,
7865029,
9031651,
9338323,
9542359,
9817837,
9937099,
11000863,
11158753,
11254027,
11296501,
11456491,
11812429,
12295483,
12507067,
13697191,
14228911,
14420407,
14843767,
14892541,
15884821,
16922107,
17013289,
17393653,
17605309,
17911807,
18396853,
18888379,
19067467,
19442119,
19553827,
19848583,
20459011,
22826677,
26466409,
35507749,
36494371,
37108243,
38058157,
39475729,
45383911,
47452087,
54421891,
55712521,
55996123,
64052017,
70907701,
71094223,
72379831,
72837913,
75644251,
77108959,
77526049,
77637463,
78223699,
78559681,
87193231,
87429619,
89421931,
91134553,
92224579,
94025023.