Definition:Nontotient

Definition
A nontotient is a positive integer $n$ such that:
 * $\nexists m \in \Z_{>0}: \phi \left({m}\right) = n$

where $\phi \left({m}\right)$ denotes the Euler $\phi$ function.

That is, a nontotient is a positive integer which is not the totient of any positive integer.

Also see

 * Definition:Totient


 * Definition:Cototient
 * Definition:Noncototient