VIII  Fermat's Last Theorem: n=5

1. Introduction.  Examination of the case n = 3 with a view to mimicing the argument with n  = 5.
2. The rings  Z[ zeta ], zeta = exp(2*PI*i/5)  and  Z[ tau ],  tau = (1 + sqrt(5))/2.
3. The units of  Z[ tau ], relation to Pell's Equation.
4. The units of  Z[ zeta ].
5. Unique factorization in  Z[ zeta ].
6. Proof of Fermat's Last Theorem in the case n = 5.