First numbers that belong to both sets:
561,
1105,
1387,
1729,
2047,
2465,
2701,
2821,
3277,
4033,
4369,
4681,
5461,
6601,
7957,
8481,
8911,
10585,
11305,
12801,
13741,
13747,
13981,
14491,
15841,
16705,
18721,
19951,
23001,
29341,
30889,
31417,
31609,
31621,
39865,
41041,
42799,
46657,
49141,
52633,
62745,
63973,
68101,
74665,
75361,
83665,
88357,
88561,
90751,
91001,
93961,
101101,
104653,
107185,
113201,
115921,
126217,
137149,
157641,
162401,
172081,
176149,
188461,
196093,
204001,
219781,
226801,
228241,
249841,
252601,
271951,
272251,
275887,
276013,
278545,
282133,
285541,
294409,
314821,
334153,
340561,
367081,
390937,
396271,
399001,
401401,
410041,
422659,
423793,
443719,
449065,
458989,
464185,
488881,
493697,
493885,
512461,
514447,
530881,
534061,
552721,
563473,
574561,
604117,
611701,
622909,
642001,
656601,
658801,
665281,
665401,
670033,
672487,
679729,
683761,
710533,
721801,
729061,
738541,
741751,
748657,
769567,
786961,
800605,
825265,
838201,
838861,
847261,
852841,
873181,
875161,
898705,
915981,
916327,
934021,
950797,
983401,
997633,
1004653,
1018921,
1024651,
1033669,
1050985,
1064053,
1082401,
1082809,
1092547,
1104349,
1106785,
1128121,
1139281,
1141141,
1152271,
1157689,
1193221,
1277179,
1293337,
1302451,
1333333,
1357441,
1357621,
1373653,
1398101,
1419607,
1433407,
1457773,
1461241,
1472065,
1472353,
1500661,
1520905,
1530787,
1533601,
1537381,
1569457,
1579249,
1584133,
1615681,
1620385,
1690501,
1711381,
1719601,
1730977,
1746289,
1755001,
1773289,
1809697,
1827001,
1830985,
1839817,
1840357,
1857241,
1892185,
1907851,
1909001,
1937881,
1987021,
1993537,
1994689,
2004403,
2008597,
2035153,
2085301,
2100901,
2113921,
2142141,
2162721,
2163001,
2165801,
2171401,
2181961,
2184571,
2205967,
2233441,
2284453,
2288661,
2299081,
2327041,
2387797,
2433601,
2434651,
2455921,
2503501,
2508013,
2513841,
2531845,
2603381,
2615977,
2628073,
2649361,
2670361,
2704801,
2719981,
2722681,
2746477,
2797921,
2867221,
2880361,
2899801,
2921161,
2940337,
2944261,
2976487,
2987167,
3057601,
3059101,
3094273,
3116107,
3125281,
3146221,
3165961,
3181465,
3186821,
3224065,
3225601,
3336319,
3363121,
3375487,
3539101,
3542533,
3581761,
3664585,
3679201,
3755521,
3779185,
3828001,
3916261,
3985921,
4005001,
4014361,
4069297,
4082653,
4101637,
4154161,
4154977,
4209661,
4229601,
4259905,
4314967,
4335241.
Some larger examples :
998324255809,
998495628481,
998523159481,
998642960701,
998667686017,
998671603333,
998797380841,
998852704417,
999236382301,
999292561345,
999308638021,
999406030321,
999425853361,
999504724681,
999605018701,
999607982113,
999629786233,
999855751441,
999971303761,
999986341201.