First numbers that belong to both sets:
1,
7,
191,
895,
1214,
2047,
4373,
5119,
15308,
22527,
49151,
106495,
229375,
279935,
524287,
590489,
1948616,
2359295,
5764800,
9961471,
14680063,
17578124,
20971519,
44040191,
90699263,
92274687,
97656249,
134217727,
201326591,
215233604,
344373767,
537109374,
604661759,
838860799.