First numbers that belong to both sets:
3,
7,
9,
15,
31,
33,
37,
63,
99,
127,
129,
195,
399,
483,
511,
577,
1023,
1155,
1599,
1765,
2115,
3363,
3843,
4095,
4623,
5833,
6399,
6723,
7395,
8001,
8191,
8193,
8835,
9999,
12543,
14883,
18495,
21315,
24963,
27001,
32769,
33855,
35343,
36099,
37635,
40803,
42435,
47523,
48399,
53823,
59535,
61503,
62499,
63505,
66565,
67599,
68643,
70755,
80655,
96099,
97335,
99855,
101125,
102399,
110223,
112897,
118335,
125317,
131071,
132495,
136899,
147457,
155235,
158403,
159999,
161605,
175615,
188355,
190095,
200703,
206115,
209763,
215295,
232323,
236197,
248833,
252003,
254017,
258063,
272485,
280899,
295935,
302499,
304705,
313599,
315843,
320355,
364815,
369663,
373249,
384399,
394383,
399423,
405223,
407043,
414735,
417315,
422499,
430335,
443557,
451585,
478863,
481635,
498435,
501265,
512001,
512655,
524287,
541695,
544645,
565503,
568515,
574563,
624099,
633615,
636055,
636805,
669123,
678975,
702243,
719103,
736165,
763875,
767377,
777925,
781455,
792099,
817215,
824463,
839055,
861183,
864901,
887365,
902499,
906303,
933157,
937023,
941191,
948675,
972195,
988035,
996003,
1024143,
1036323,
1052677,
1061209,
1081599,
1085763,
1089937,
1106703,
1115137,
1140625,
1144899,
1157775,
1183743,
1192465,
1205605,
1276899,
1308735,
1378275,
1430415,
1478655,
1507983,
1542565,
1562499,
1572517,
1638399,
1669263,
1695205,
1700415,
1763583,
1784895,
1849599,
1871425,
1882383,
1915455,
1926543,
1932099,
1982463,
1988101,
2000377,
2022085,
2044899,
2056357,
2062095,
2085135,
2097151,
2102499,
2114115,
2119935,
2137443,
2155023,
2166783,
2190399,
2196999,
2226063,
2286145,
2292195,
2328675,
2406105,
2421135,
2458623,
2464899,
2471185,
2483775,
2490085,
2502723,
2528101,
2572815,
2624401,
2637375,
2683045,
2702737,
2715903,
2729103,
2742337,
2755599,
2788899,
2815683,
2842597,
2903617,
2910435,
2917263,
2937795,
2951523,
2985985,
3041535,
3062499,
3111697,
3147075,
3240001,
3261637,
3341583,
3392965,
3400335,
3444735,
3474495,
3504385,
3511875,
3541923,
3594817,
3602403,
3732625,
3794703,
3802501,
3810303,
3999999,
4008003,
4024035,
4048143,
4064257,
4088485,
4095999,
4120899,
4129023,
4169763,
4194303,
4227135,
4260097,
4334725,
4410001,
4443663,
4511377,
4519875,
4588165,
4631103,
4682895,
4691557,
4726275,
4741633.
Some larger examples :
8538085,
8608357,
8643601,
8741817,
8892325,
8904255,
9012003,
9108325,
9205155,
9265935,
9278115,
9363601,
9424899,
9486399,
9498723,
9523395,
9528129,
9759375,
9796899,
9884737.