Definition:Mersenne Number/Also defined as
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Mersenne Number: Also defined as
A Mersenne number can also be seen defined as a natural number of the form $2^n - 1$, where $n \in \Z_{\ge 0}$ or $n \in \Z_{> 0}$, but that leads to the singularly boring sequence:
- $\paren {0,} 1, 3, 7, 15, 31, 63, 127, 255, 511, 1 \, 023, 2 \, 047, 4 \, 095, 8 \, 191, 16 \, 383, 32 \, 767, \ldots$
This sequence is A000225 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $127$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $127$