First numbers that belong to both sets:
15,
255,
511,
1729,
2047,
9605,
46657,
65535,
248005,
435601,
898705,
2433601,
2628073,
4040101,
19683001,
23736385,
33554431,
67371265,
96589585,
162771337,
331240001,
432224101,
786802501,
878529601,
1728000001,
2073891601,
3815532901,
4294967295,
8996143105,
14428814401,
16050356101,
17511228901,
29733377191,
38958219001,
69426531001,
80542440001,
110592000001,
241238145601,
246491883001,
287210246401,
312268616101,
313611200101,
351596817937,
353093418433,
422240040001,
432081216001,
682160364901,
945192284101.