[UNSOVED] What is the largest number (in terms of a, b, c) that can not be expressed in the form \[ax+by+cz\]
where \[x,y,z≥0\]\[gcd(a,b,c)=1\]and all values are non-negative integers?
As an example, take \[6x+10y+15z\]Here, the largest integer that can't be expressed in this form given \[x, y, z \geq 0\]is 29.
If instead you're solving the same problem, only with \[ax+by\]instead of\[ax+by+cz\] with the same conditions that every value is a non-negative integer, the largest integer not expressible in this form is given by the formula\[ab-a-b\]

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