Last edited by Sea; December 21st 2008 at 12:07 AM.
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Let the prime factoirzations be: and .
Since , there are no common factors between them, i.e. for any , .
What can you say about and ?
I think... , .
Suppose then there is a prime such that and
You can check by Euclid's Lemma that we must have and thus CONTRADICTION!
Thanks a million......
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