Difference between revisions of "2001 IMO Problems/Problem 6"

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== Problem 6 ==
 
== Problem 6 ==
<math>K > L > M > N</math> are positive integers such that <math>KM + LN = (K + L - M + N)(-K + L + M + N)</math>. Prove that <math>KL + MN</math> is not prime.
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<math>K > L > M > N</math> are positive integers such that <math>KM + LN = (K + L - M + N)(-K + L + M + N)</math>. Prove that <math>KL + MN</math> is not prime.
  
 
==Solution==
 
==Solution==

Revision as of 01:56, 6 October 2014

Problem 6

$K > L > M > N$ are positive integers such that $KM + LN = (K + L - M + N)(-K + L + M + N)$. Prove that $KL + MN$ is not prime.

Solution

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See also

2001 IMO (Problems) • Resources
Preceded by
Problem 5
1 2 3 4 5 6 Followed by
Problem 6
All IMO Problems and Solutions
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