  The greatest integer that does not belong to $S$ is the Frobenius number of
$S$ and denoted by $F(S)$. To solve the Frobenius problem means the study to
find $F(S)$. The Frobenius problem have treated steadily for a long time. In
this paper, We will introduce the Frobenius problem for generalized Thabit
numerical semigroups, which is motivated by the Frobenius problem for Thabit
numerical semigroups.
