MathDB
P 33

Source:

May 25, 2007
inductionnumber theoryrelatively primeAdditive Number Theory

Problem Statement

Let a1,a2,⋯ ,aka_{1}, a_{2}, \cdots, a_{k} be relatively prime positive integers. Determine the largest integer which cannot be expressed in the form x1a2a3⋯ak+x2a1a3⋯ak+⋯+xka1a2⋯ak−1x_{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 x1,x2,⋯ ,xkx_{1}, x_{2}, \cdots, x_{k}.
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