Abstract

It is proved in this paper that (1) Fermat’s Last Theorem: If π is an odd prime, there are no relatively prime positive integers x,y,z satisfying the equation zπ = xπ+yπ, and (2) Beal’s Conjecture :The equation zξ = xµ +yν has no solution in relatively prime positive integers x,y,z with µ,ξ and ν odd primes at least 3. It is also proved that these two statements, (1) and (2), are equivalent.

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