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Abstract
Abstract
[is a^n+ b^m = c^z?,a gt b gt c,& a,b,c,n,m,z ϵ N_+]⇔[Fermat’ s General Case]
∎Taha’s Coefficient Fact1 (TCF1): a+b = c ⇒ aa^(r-1)+bb^(u-1) ≠ cc^(v-1)⇒
a^r+b^r ≠ c^r, when a^(r-1)≠b^(u-1)≠c^(v-1),r≠ u≠ v≠ 1, r,u,v ϵ N_+
∎Taha’s Coefficient Fact2 (TCF2): a+b ≠ c ⇒ aa^(r-1)+bb^(u-1)≠cc^(v-1)⇒
a^r+b^r ≠c^r , when a^(r-1)≠b^(u-1)≠c^(v-1),r≠u≠v≠1, r,u,v ϵ N_+