This interesting question is taken from an Iranian ((Cool)) competetion (high school level): (Have fun!)

Suppose are positive integers with Prove that there exist integers such that and

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- Nov 21st 2009, 09:56 PMNonCommAlgNumber Theory (1)
This interesting question is taken from an Iranian ((Cool)) competetion (high school level): (Have fun!)

Suppose are positive integers with Prove that there exist integers such that and - Nov 21st 2009, 11:45 PMsimplependulum
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

let

therefore

It is also true when

- Nov 22nd 2009, 03:07 PMBruno J.
Oops :)

- Nov 22nd 2009, 05:31 PMNonCommAlg