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Formally, $F(a_1,\ldots,a_n)$ denotes the largest integer that cannot be represented by using only coins of specified denominations $a_1,\ldots,a_n$.
• The largest amount that cannot be represented by coins of denominations $2$ and $3$ is the amount $5$; in other words $F(2,3)=1$. All even numbers can be written as $2+2+\cdots+2$, and all odd numbers (except $1$) can be written as $3+(2+\cdots+2)$.
• The Chicken McNugget problem asks for $F(6,9,20)$, as McDonald's Chicken McNuggets boxes come with $6$, $9$, and $20$ nuggets. One can show that $F(6,9,20)=43$.