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1959 IMO Problems/Problem 1

Revision as of 17:32, 25 July 2006 by MCrawford (talk | contribs) (correction in problem)

Problem

Prove that the fraction $\frac{21n+4}{14n+3}$ 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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