MathDB

Let

a_{1}, a_{2}, \cdots, a_{k}

be relatively prime positive integers. Determine the largest integer which cannot be expressed in the form

x_{1}a_{2}a_{3}\cdots a_{k}+x_{2}a_{1}a_{3}\cdots a_{k}+\cdots+x_{k}a_{1}a_{2}\cdots a_{k-1}

for some nonnegative integers

x_{1}, x_{2}, \cdots, x_{k}

33