{P-Q}{P^(n-1) + K1[P^(n-2)]Q + K2[P^(n-3)]Q^2 + ....+ Q^(n-1)} cannot equal C^n - B^n
where all the variables are positive integers, n>2, P>Q, C>B
unless all the Ks are equal to 1 or in some instances the Ks have the same value.
{P-Q}{P^(n-1) + K1[P^(n-2)]Q + K2[P^(n-3)]Q^2 + ....+ Q^(n-1)} cannot equal C^n - B^n
where all the variables are positive integers, n>2, P>Q, C>B
unless all the Ks are equal to 1 or in some instances the Ks have the same value.
Can i ask why my post was deleted? It was a completely legitimate post providing a proper counterexample.
PS: I have another counterexample with the new constraint given, but if someone is deleting links for no reason, there is no reason to post it.
EDIT:
Forget my above comments. It is just the TS created 2 exact topics and i answered to the other:
Proof of a Conjecture or Counter Examples
First, take a look at the example in the other thread and see if you can come up with another one based on ChessTal's method.
This is why we don't double post....
-Dan