# pairwise relatively prime integers

• July 17th 2006, 03:56 AM
sheryl
pairwise relatively prime integers...urgent..
is anybody can show me the proof why do pairwise relatively prime integers are squares?

thanks!
• July 17th 2006, 04:30 AM
CaptainBlack
Quote:

Originally Posted by sheryl
is anybody can show me the proof why do pairwise relatively prime integers are squares?

thanks!

I think we may need a better statement of your question, as it is it
is incomprehensible to me at least.

RonL
• July 17th 2006, 05:17 AM
Quick
Quote:

Originally Posted by sheryl
is anybody can show me the proof why do pairwise relatively prime integers are squares?

thanks!

I agree with you cap'n black,
what I want to know is the definition of "pairwise" and even more important is "relatively prime" how can something be relatively prime? If it's prime it's prime, if it's not it's not.
• July 17th 2006, 05:59 AM
CaptainBlack
Quote:

Originally Posted by Quick
I agree with you cap'n black,
what I want to know is the definition of "pairwise" and even more important is "relatively prime" how can something be relatively prime? If it's prime it's prime, if it's not it's not.

Two numbers are relativly prime if their gcd is 1.

RonL
• July 17th 2006, 11:10 AM
ThePerfectHacker
Perhaps he is shy an he means,

$\gcd(a,b)=1\leftarrow \rightarrow \gcd(a^2,b^2)=1$