First numbers that belong to both sets:
341,
561,
645,
1105,
1387,
2047,
2465,
2701,
2821,
3277,
4033,
4681,
5461,
7957,
8911,
10261,
13741,
13981,
15709,
15841,
16705,
18705,
19951,
23001,
29341,
31609,
31621,
34945,
35333,
41041,
41665,
42799,
46657,
49141,
49981,
55245,
57421,
60701,
63973,
65077,
68101,
72885,
80581,
83333,
88357,
90751,
91001,
93961,
101101,
104653,
121465,
130561,
137149,
154101,
162401,
172081,
176149,
181901,
188461,
194221,
196021,
196093,
204001,
212421,
215265,
215749,
219781,
241001,
249841,
256999,
258511,
264773,
271951,
272251,
275887,
276013,
278545,
282133,
284581,
285541,
289941,
294271,
294409,
314821,
332949,
334153,
341497,
396271,
410041,
423793,
435671,
443719,
458989,
481573,
489997,
493885,
512461,
513629,
514447,
534061,
574861,
587861,
588745,
604117,
611701,
617093,
622909,
653333,
657901,
665281,
665333,
672487,
688213,
710533,
711361,
722261,
729061,
738541,
741751,
742813,
745889,
748657,
769567,
769757,
786961,
800605,
825265,
831405,
838861,
847261,
873181,
915981,
916327,
934021,
950797,
1004653,
1033669,
1050985,
1052503,
1064053,
1073021,
1104349,
1109461,
1132657,
1139281,
1141141,
1152271,
1168513,
1193221,
1207361,
1251949,
1302451,
1333333,
1357621,
1373653,
1398101,
1419607,
1433407,
1457773,
1459927,
1463749,
1500661,
1509709,
1520905,
1534541,
1537381,
1549411,
1584133,
1615681,
1678541,
1690501,
1711381,
1746289,
1811573,
1830985,
1837381,
1840357,
1892185,
1987021,
1993537,
2008597,
2085301,
2100901,
2113665,
2121301,
2134277,
2142141,
2165801,
2205967,
2233441,
2261953,
2269093,
2284453,
2288661,
2304167,
2350141,
2387797,
2414001,
2487941,
2491637,
2503501,
2508013,
2531845,
2603381,
2609581,
2649029,
2649361,
2719981,
2746477,
2746589,
2748023,
2773981,
2793351,
2811271,
2867221,
2882265,
2899801,
2909197,
2921161,
2944261,
2953711,
2976487,
2987167,
3057601,
3059101,
3073357,
3146221,
3186821,
3224065,
3316951,
3336319,
3345773,
3363121,
3375041,
3375487,
3400013,
3413533,
3429037,
3435565,
3471071,
3539101,
3542533,
3568661,
3581761,
3605429,
3726541,
3814357,
3911197,
3916261,
3985921,
4014361,
4038673,
4082653,
4097791,
4101637,
4151869,
4209661,
4314967,
4360621,
4361389,
4363261,
4371445,
4469471,
4480477,
4502485,
4504501,
4535805,
4567837,
4670029,
4706821,
4806061,
4827613,
4863127,
4864501,
4868701,
4917781,
4922413,
5016191,
5031181,
5034601.
Some larger examples :
9069229,
9084223,
9106141,
9143821,
9224391,
9345541,
9480461,
9494101,
9533701,
9567673,
9585541,
9588151,
9591661,
9638785,
9692453,
9729301,
9774181,
9834781,
9863461,
9995671.