info prev up next book cdrom email home

Suzanne Set

The $n$th Suzanne set $S_n$ is defined as the set of Composite Numbers $x$ for which $n\vert S(x)$ and $n\vert S_p(x)$, where

x=a_0+a_1(10^1)+\ldots+a_d(10^d)=p_1p_2\cdots p_n,

$\displaystyle S(x)$ $\textstyle =$ $\displaystyle \sum_{j=0}^d a_j$  
$\displaystyle S_p(x)$ $\textstyle =$ $\displaystyle \sum_{i=1}^m S(p_i).$  

Every Suzanne set has an infinite number of elements. The Suzanne set $S_n$ is a superset of the Monica Set $M_n$.

See also Monica Set


Smith, M. ``Cousins of Smith Numbers: Monica and Suzanne Sets.'' Fib. Quart. 34, 102-104, 1996.

© 1996-9 Eric W. Weisstein