The Mersenne sequence contains numbers of the form
When represented in the dual system, Mersenne numbers show up as columns of ones, that is, numbers consisting exclusively of ones.
The first numbers are
0,
1,
3,
7,
15,
31,
63,
127,
255,
511,
1023,
2047,
4095,
8191,
16383,
32767,
65535,
131071,
262143,
524287,
1048575,
2097151,
4194303,
8388607,
16777215,
33554431,
67108863,
134217727,
268435455,
536870911,
1073741823,
2147483647,
4294967295