# Number Gossip

(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)

## Unique Properties of 8191

- 8191 is the smallest Mersenne prime p such that the Mersenne number M(p) = 2
^{p}- 1 is composite

(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)

- 8191 is the smallest Mersenne prime p such that the Mersenne number M(p) = 2
^{p}- 1 is composite