Difference between revisions of "1959 IMO Problems/Problem 1"
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== Problem == | == Problem == | ||
| − | Prove that the fraction <math>\frac{21n+4}{ | + | Prove that the fraction <math>\frac{21n+4}{14n+3}</math> is irreducible for every natural number <math>\displaystyle n</math>. |
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== Solution == | == Solution == | ||
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and we're done. | and we're done. | ||
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== Resources == | == Resources == | ||
Revision as of 17:32, 25 July 2006
Problem
Prove that the fraction 
is irreducible for every natural number 
.
Solution
We observe that
and we're done.
