First numbers that belong to both sets:
341,
561,
1105,
1387,
1729,
2047,
2465,
2701,
2821,
3277,
4033,
4369,
4681,
5461,
6601,
7957,
8321,
8481,
8911,
10261,
10585,
11305,
12801,
13741,
13747,
13981,
14491,
15709,
15841,
16705,
18721,
19951,
23001,
23377,
29341,
30121,
30889,
31417,
31609,
31621,
35333,
39865,
41041,
42799,
46657,
49141,
49981,
52633,
60701,
60787,
62745,
63973,
65077,
65281,
68101,
74665,
75361,
80581,
83333,
83665,
85489,
88357,
88561,
90751,
91001,
93961,
101101,
104653,
107185,
113201,
115921,
123251,
126217,
129889,
130561,
137149,
150851,
157641,
158369,
162193,
162401,
164737,
172081,
176149,
181901,
188057,
188461,
194221,
196021,
196093,
204001,
215749,
219781,
220729,
226801,
228241,
241001,
249841,
252601,
253241,
256999,
264773,
271951,
272251,
275887,
276013,
278545,
280601,
282133,
284581,
285541,
294271,
294409,
314821,
318361,
323713,
334153,
340561,
341497,
348161,
357761,
367081,
387731,
390937,
396271,
399001,
401401,
410041,
422659,
423793,
427233,
435671,
443719,
448921,
449065,
452051,
458989,
464185,
481573,
486737,
488881,
489997,
493697,
493885,
512461,
513629,
514447,
526593,
530881,
534061,
552721,
556169,
563473,
574561,
580337,
582289,
587861,
588745,
604117,
611701,
617093,
622909,
625921,
635401,
642001,
647089,
653333,
656601,
657901,
658801,
665281,
665333,
665401,
670033,
672487,
679729,
680627,
683761,
688213,
710533,
721801,
722201,
722261,
729061,
738541,
741751,
742813,
743665,
745889,
748657,
769567,
769757,
786961,
800605,
818201,
825265,
838201,
838861,
841681,
847261,
852841,
873181,
875161,
877099,
898705,
915981,
916327,
934021,
950797,
976873,
983401,
997633,
1004653,
1016801,
1018921,
1024651,
1033669,
1050985,
1052503,
1052929,
1053761,
1064053,
1073021,
1082401,
1082809,
1092547,
1093417,
1104349,
1106785,
1109461,
1128121,
1132657,
1139281,
1141141,
1145257,
1152271,
1157689,
1168513,
1193221,
1207361,
1251949,
1252697,
1277179,
1293337,
1302451,
1306801,
1325843,
1333333,
1357441,
1357621,
1373653,
1397419,
1398101,
1419607,
1433407,
1441091,
1457773,
1461241,
1463749,
1472065,
1472353,
1472505,
1493857,
1500661,
1507561,
1507963,
1509709,
1520905,
1530787,
1533601,
1533961,
1534541,
1537381,
1549411,
1569457,
1579249,
1584133,
1615681,
1620385,
1643665.
Some larger examples :
9480461,
9494101,
9533701,
9564169,
9567673,
9582145,
9585541,
9588151,
9591661,
9613297,
9638785,
9692453,
9724177,
9729301,
9774181,
9834781,
9863461,
9890881,
9908921,
9920401.