First numbers that belong to both sets:
31,
127,
511,
783,
1848,
2810,
3363,
3365,
3374,
3376,
3480,
5831,
10608,
10610,
10647,
10649,
11450,
11880,
13688,
13690,
13825,
16128,
17690,
18224,
19682,
25601,
27224,
32767,
32769,
33488,
33490,
33855,
33857,
34968,
35722,
38810,
42848,
42850,
46226,
49285,
54755,
54873,
55226,
57601,
62499,
64001,
68643,
78124,
78126,
78399,
78401,
84682,
85183,
91810,
101123,
101125,
104975,
104977,
105624,
105626,
106275,
106277,
106928,
106930,
110223,
110888,
116282,
116965,
128880,
128882,
134690,
141377,
142885,
146688,
146690,
153663,
153665,
156026,
161603,
161605,
165648,
172224,
176399,
176401,
181477,
183183,
190095,
190097,
199808,
199810,
205208,
205210,
223730,
247008,
247010,
248831,
272485,
278783,
288368,
291601,
298117,
305810,
314431,
314433,
320357,
331775,
331777,
332928,
332930,
334083,
334085,
335240,
335242,
336399,
336401,
337560,
337562,
338723,
338725,
379455,
379457,
380690,
389375,
389377,
400690,
421202,
425105,
444890,
446223,
448899,
450240,
459683,
459685,
466488,
466490,
485810,
511224,
511226,
551369,
556517,
558008,
558010,
594442,
602175,
627265,
638402,
644810,
665857,
678975,
678977,
681471,
690560,
697224,
697226,
715715,
719105,
732737,
743043,
751690,
763877,
774399,
779690,
781455,
781457,
783224,
783226,
810001,
833568,
848240,
850083,
859328,
868623,
872355,
872357,
879845,
896810,
900600,
900602,
908210,
912672,
919680,
919682,
927368,
944783,
954528,
954530,
956483,
958442,
962360,
962362,
970224,
976145,
982080,
988035,
988037,
1006010,
1030224,
1030226,
1030302,
1036323,
1036325,
1044485,
1050624,
1050626,
1052675,
1052677,
1054728,
1054730,
1056783,
1056785,
1058840,
1058842,
1060899,
1060901,
1061207,
1061209,
1062960,
1062962,
1065023,
1065025,
1067088,
1067090,
1069155,
1069157,
1071224,
1071226,
1087848,
1092726,
1108810,
1136355,
1138488,
1177226,
1181568,
1181570,
1227665,
1229882,
1238770,
1243226,
1247690,
1263375,
1263377,
1270128,
1270130,
1283690,
1295043,
1297320,
1304163,
1327103,
1327105,
1354895,
1364223,
1364225,
1375928,
1380624,
1380626,
1390040,
1394762,
1432810,
1439999,
1444805,
1505528,
1520288,
1520290,
1532643,
1540082,
1555010,
1590120,
1620528,
1620530,
1633283,
1643031,
1646090,
1679615,
1679617,
1684803,
1690001,
1695203,
1697810,
1700415,
1708248.
Some larger examples :
9320810,
9381970,
9418762,
9467928,
9597603,
9597605,
9622403,
9690770,
9709455,
9715690,
9778128,
9778130,
9803160,
9803162,
9815690,
9891026,
9928802,
9935105,
9954026,
9966650.