First numbers that belong to both sets:
21,
40,
133,
341,
4033,
5461,
25761,
87381,
169456,
782341,
1082401,
1398101,
4997461,
22369621,
151770081,
357913941,
969481633,
5726623061,
29442613333,
91625968981,
188074439301,
1466015503701,
5711715216481,
23456248059221,
36485471742721,
375299968947541.