First numbers that belong to both sets:
3,
5,
20,
64,
255,
512,
514,
771,
2560,
4112,
5440,
7710,
17408,
17476,
20560,
65536,
245760,
493440,
524288,
526336,
696320,
786432,
983040,
1048560,
2228258,
3932160,
4194240,
4210688,
5592320,
6684672,
12582912,
20971520,
31580160,
33423360,
33685504,
41943680,
44564480,
53478192,
53686272,
71303168,
89130320,
100664832,
106954752,
125831040,
126320640,
335549440,
336860180,
356515840,
503324160,
536870912,
855651072.