Difference between revisions of "2017 USAJMO Problems/Problem 4"

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==See also==
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Revision as of 20:36, 20 April 2017

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

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png

See also

2017 USAJMO (ProblemsResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5 6
All USAJMO Problems and Solutions
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