
Diophantine FLT similar system No solution Proof!
Posted:
Feb 5, 2014 6:16 PM


Let x,z coprime in N* a,b in Z*
(I) (1yb)x^n+by^n = z^n, (II) xz=yba
It is slightly modified Fermat equation.
How to proof that this system doesn´t have solution?
I found solutions (n=3) for (I) a(x^nz^n)/(xz) = (y^(n1)+x^n)] using mod a(x^nz^n)/(xz),
but this doesn´t satisfy xz=yba.
I didn´t find a contradiction :
(1)^n = b^(n1) a^n (mod x) x=z (mod y) b^(n1)a^n(1yb)=1 (mod z)
Jimmy

