  Let R be a commutative ring with unity $1\in R$. In this article, we
introduce the concept of prime principal right ideal rings (\textbf{PPRIR}), A
prime ideal P of R is said to be prime principal right ideal (\textbf{PPRI}) is
given by $P =\{ ar : r\in R\}$ for some element a. The ring R is said to be
prime principal right ideal ring (\textbf{PPRIR}) if every prime ideal of R is
a prime principal right ideal (\textbf{PPRI}). A prime principal right ideal
ring R is called a prime principal right ideal domain (\textbf{PPRID}) if R is
a domain. Several properties and characteristics of prime principal right ideal
ring (\textbf{PPRIR}).
