First numbers that belong to both sets:
17,
37,
101,
127,
197,
1297,
4357,
5477,
7057,
8837,
14401,
15877,
16901,
17957,
21317,
22501,
25601,
28901,
32401,
41617,
44101,
52901,
65537,
67601,
72901,
78401,
90001,
106277,
115601,
122501,
156817,
160001,
164837,
184901,
193601,
197137,
215297,
217157,
220901,
224677,
240101,
295937,
331777,
341057,
352837,
401957,
454277,
462401,
470597,
476101,
490001,
495617,
509797,
512657,
547601,
614657,
682277,
739601,
746497,
792101,
820837,
828101,
846401,
864901,
876097,
894917,
902501,
921601,
972197,
1020101,
1073297,
1110917,
1136357,
1144901,
1196837,
1201217,
1322501,
1336337,
1382977,
1464101,
1547537,
1705637,
1726597,
1752977,
1795601,
1833317,
1865957,
1887877,
1943237,
2005057,
2016401,
2044901,
2056357,
2073601,
2119937,
2131601,
2262017,
2421137,
2446097,
2452357,
2483777,
2496401,
2515397,
2604997,
2689601,
2702737,
2755601,
2808977,
2890001,
2944657,
3118757,
3147077,
3182657,
3204101,
3297857,
3422501,
3519377,
3549457,
3587237,
3648101,
3686401,
3763601,
3857297,
3920401,
4024037,
4227137,
4260097,
4326401,
4343057,
4351397,
4384837,
4393217,
4435237,
4562497,
4726277,
4946177,
5107601,
5262437,
5308417,
5336101,
5382401,
5410277,
5428901,
5456897,
5569601,
5779217,
5788837,
5856401,
5904901,
6022117,
6051601,
6071297,
6100901,
6230017,
6421157,
6431297,
6604901,
6635777,
6760001,
6780817,
7107557,
7452901,
7540517,
7617601,
7650757,
7672901,
7728401,
7806437,
7862417,
7974977,
8031557,
8042897,
8122501,
8352101,
8386817,
8410001,
8503057,
8561477,
8608357,
8667137,
8761601,
8785297,
8844677,
8916197,
9278117,
9326917,
9572837,
9647237,
9672101,
9859601,
9960337,
9985601,
10137857,
10368401,
10497601,
10536517,
10588517,
10666757,
10758401,
10916417,
10929637,
11062277,
11262737,
11383877,
11492101,
11806097,
12068677,
12110401,
12362257,
12390401,
12460901,
12503297,
13322501,
13395601,
13468901,
13912901,
13942757,
14032517,
14243077,
14318657,
14364101,
14485637,
14638277,
14822501,
14976901,
15132101,
15163237,
15397777,
15952037,
16564901,
16974401,
17106497,
17139601,
17189317,
17255717,
17388901,
17422277,
17472401,
17690437,
18062501,
18147601,
18438437,
18490001,
18748901,
18835601,
19395217,
19855937,
20016677,
20286017,
20466577,
20848357,
21160001,
21288997,
21307457,
22127617,
22335077,
22429697,
22886657,
23001617,
23367557,
23522501,
23775377,
23872997,
24049217,
24108101,
24206401,
24364097,
24900101,
25140197,
25160257,
25563137,
25765777,
25867397,
26214401,
26563717,
26728901,
26790977,
26977637,
27040001,
27081617.
Some larger examples :
90630401,
90820901,
91278917,
91470097,
92083217,
92736901,
93431557,
94012417,
94556177,
94945537,
95765797,
96118417,
96157637,
97219601,
97495877,
97891237,
98010001,
98089217,
99600401,
99800101.