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Two "coprime" polynomials
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Thomas B
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#1
Two "coprime" polynomials

Do there exist two non-constant polynomials P and Q with integer coefficients such that for all integers x and y, P(x) and Q(y) are coprime ?
Last edited by Thomas B on Mon Oct 19, 2009 8:56 am; edited 1 time in total 
PostPosted: Mon Oct 19, 2009 6:39 am  Back to top 
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pco
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Re: Two "coprime" polynomials

Thomas B wrote:
Do there exist two polynomials P and Q such that for all integers x and y, P(x) and Q(y) are coprime ?


P(x)=2 \forall x
Q(y)=3 \forall y
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PostPosted: Mon Oct 19, 2009 6:46 am  Back to top 
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Thomas B
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OK, I have edited Blush

PostPosted: Mon Oct 19, 2009 8:56 am  Back to top 
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