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Difference between revisions of "1959 IMO Problems/Problem 1"

 
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* [http://www.artofproblemsolving.com/Forum/viewtopic.php?p=341470#p341470 Discussion on AoPS/MathLinks]
 
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?p=341470#p341470 Discussion on AoPS/MathLinks]
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[[Category:Intermediate Algebra Problems]]

Revision as of 15:31, 25 July 2006

Problem

Prove that the fraction $\frac{21n+4}{14+3}$ is irreducible for every natural number $\displaystyle n$.

Solution

We observe that

$\displaystyle 3(14n+3) = 2(21n+4) + 1,$

and we're done.

Resources

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