2017 USAJMO Problems/Problem 4

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Problem

Are there any triples $(a,b,c)$ of positive integers such that $(a-2)(b-2)(c-2) + 12$ is prime that properly divides the number $a^2 + b^2 + c^2 + abc - 2017$?

Solution

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See also

2017 USAJMO (ProblemsResources)
Preceded by
Problem 1
Followed by
Problem 3
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All USAJMO Problems and Solutions
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