Hi, I am not able to solve this equation. Can anybody help?

(p*q)/(p+q)=((a^2)+1)/(a+1)

"p", "q" are prime numbers and "a" is positive integer

My task is to find all possible pairs of p,q for this equatition.

Thanks in advance!

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- Dec 2nd 2012, 05:22 AMjack59p,q are prime numbs and a is positive integer
Hi, I am not able to solve this equation. Can anybody help?

(p*q)/(p+q)=((a^2)+1)/(a+1)

"p", "q" are prime numbers and "a" is positive integer

My task is to find all possible pairs of p,q for this equatition.

Thanks in advance! - Dec 2nd 2012, 05:26 AMjack59Re: p,q are prime numbs and a is positive integer
I've already rewritten that as:

p*q*a - p*a^2 - q*a^2 = -p*q + p + q

and I found that one solution is {p=2,q=2,a=1}

How to find another possible solutions?