This interesting question is taken from an Iranian () competetion (high school level): (Have fun!)
Suppose are positive integers with Prove that there exist integers such that and
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you mean or
I remember that If , then there exists integers such that ,
Is it correct if
there also exists integers satisfying or ?
For exmaple , set , i obtain
It is also true when
Last edited by Bruno J.; November 22nd 2009 at 10:04 PM.
Originally Posted by Bruno J.
...and follows by simple computation. are you sure about that?
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