## Monica Set

The th Monica set is defined as the set of Composite Numbers for which , where

 (1)

and
 (2) (3)

Every Monica set has an infinite number of elements. The Monica set is a subset of the Suzanne Set . If is a Smith Number, then it is a member of the Monica set for all . For any Integer , if is a -Smith Number, then .

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