(In reply to re: Unreal!
by Ady TZIDON)
Well yes, I was just having fun with the title. My assertion was that all solutions are integral.
My suspicion does not, on 2nd thought, look correct.
P + QRS = 3
Q + PRS = 3
R + PQS = 3
S + PQR = 3
has a irrational solution where P = Q = R = S, and P + P^3 = 3.
What it think is instead true is that if the solution is rational, then it is integral.