  Let $\left\lbrace P_{k}\right\rbrace_{k\geq0}$ be the Padovan sequence
defined by $P_{k}=P_{k-2}+P_{k-3}$ with initial values are
$P_{0}=P_{1}=P_{2}=1$. Let $\left\lbrace R_{k}\right\rbrace_{k\geq0}$ be the
Perrin sequence defined by $R_{k}=R_{k-2}+R_{k-3}$ with initial values are
$R_{0}=3$, $R_{1}=0$, $R_{2}=2$. And let $\left\lbrace
J_{n}\right\rbrace_{n\geq0}$ be the Jacobsthal sequence defined by
$J_n=2J_{n-1}+J_{n-2}$ with initials $J_0=0$, $J_1=1$. In this paper we
determine all Padovan and Perrin numbers which are sum of two Jacobsthal
number.
