Fermats last theorem biography of michael jackson

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    Proof of Fermat's Last Theorem for specific exponents

    Partial results found before the complete proof

    Fermat's Last Theorem is a theorem in number theory, originally stated by Pierre de Fermat in 1637 and proven by Andrew Wiles in 1995.

    Fermats last theorem biography of michael jackson

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  • The statement of the theorem involves an integerexponentn larger than 2. In the centuries following the initial statement of the result and before its general proof, various proofs were devised for particular values of the exponent n.

    Several of these proofs are described below, including Fermat's proof in the case n = 4, which is an early example of the method of infinite descent.

    Mathematical preliminaries

    Fermat's Last Theorem states that no three positive integers(a, b, c) can satisfy the equation an + bn = cn for any integer value of n greater than 2.

    (For n equal to 1, the equation is a linear equation and has a solution for every possible a and b. For n equal to 2, the equation has infinitely ma