Suzanne Set

The th Suzanne set  is defined as the set of composite numbers  for which  and , where

			(1)
			(2)

and

			(3)
			(4)

Every Suzanne set has an infinite number of elements.

The following table gives the first few Suzanne numbers in  for small .

	OEIS
1	A018252	1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, ...
2	A102216	4, 8, 15, 22, 26, 35, 42, 44, 60, 62, 64, ...
3	A102217	9, 24, 27, 42, 60, 72, 78, 81, 105, 114, ...

The Suzanne set  is a subset of the Monica set .

REFERENCES:

Sloane, N. J. A. Sequences A018252, A102216, and A102217 in "The On-Line Encyclopedia of Integer Sequences."

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