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

Revision as of 01:56, 6 October 2014

 are positive integers such that . Prove that  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.
+== 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.
+==Solution==
+{{solution}}
+==See also==
+{{IMO box|num-b=5|num-a=6|year=2001}}
+[[Category: Olympiad Number Theory Problems]]

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