  In a nonrelativistic potential quark model framework, we carry out a serious
calculation of the all-heavy pentaquarks by adopting the explicitly correlated
Gaussian method.A complete mass spectrum for the $1S$ states is obtained. For
the $cccc\bar{c}$, $cccc\bar{b}$, $bbbb\bar{c}$, $bbbb\bar{b}$, $ccbb\bar{c}$,
and $bbcc\bar{b}$ systems, the obtained states are compact and lie far above
the lowest dissociation baryon-meson threshold. While, in the $cccb\bar{c}$,
$cccb\bar{b}$, $bbbc\bar{c}$, and $bbbc\bar{b}$ systems with $\{123\}4\bar{5}$
symmetry, the two low-lying configurations with $J^P=5/2^-$ and $3/2^-$ have a
typical molecular structure due to the special role of the color-Coulomb
interactions, they may be good candidates of stable states below the
dissociation baryon-meson thresholds.
