Abstract
In this paper we investigate a general method of solving for the Frobenius number of three coprime integers, $a, b, c$, denoted $g(a, b, c)$, which is the largest positive integer that cannot be expressed in the form ax + by + cz for nonnegative integers $x, y, z$.
We divide the problem into three main subcases and show how to solve for the Frobenius number in those cases and give complete solutions for all cases, except for the third case where we impose an additional condition.
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