The 
th Suzanne set 
is defined as the set of composite
numbers 
for which 
and 
, where 
is a positive integer.
Write 
in decimal notation and as its prime
factorization, with prime factors repeated according
to their multiplicity, as
 |  |  |
(1)
|
 |  |  |
(2)
|
and
 |  |  |
(3)
|
 |  |  |
(4)
|
Every Suzanne set has an infinite number of elements (Smith 1996).
The following table gives the first few Suzanne numbers in 
for small 
.
 | OEIS |  |
| 1 | A002808 | 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 
.
