The Frobenius Number: Exploring The World Of Non-representable Integers
We call a number representable by some given integers $a_1,\dots,a_n$, if the number can be expressed as a linear combination of $a_1,\dots,a_n$ with non-negative coefficients. This thesis explores the properties of non-representable numbers, with the main focus on the greatest such number called the Frobenius number, denoted by $g(a_1,\dots,a_n)$. We derive a simple formula when $n=2$ for the Fro
