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1983 IMO Problems/Problem 3

Revision as of 22:31, 31 January 2016 by Ryanyz10 (talk | contribs)

Let $a$, $b$ and $c$ be positive integers, no two of which have a common divisor greater than $1$. Show that $2abc - ab - bc- ca$ is the largest integer which cannot be expressed in the form $xbc + yca + zab$, where $x$, $y$ and $z$ are non-negative integers

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