Quote:
Originally Posted by carpetpool
Help, comments, suggestions appreciated.
For three integers p, q, r such that gcd(p, q) = 1, gcd(r, q) = 1, let d = pr.
(p+q)*(q+d)  pq = x
(q+d)*q  p*(p+q) = y
Prove that
r*xqd = y

You can't prove that. It's false.
Take p,q,r = 2,5,3
d = p*r = 6
x=(p+q)*(q+d)  p*q = 67
y=(q+d)*q  p*(p+q) = 41
r*xqd = 190
y