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  2. Fermat's Last Theorem - Wikipedia

    en.wikipedia.org/wiki/Fermat's_Last_Theorem

    Therefore, Fermat's Last Theorem could be proved for all n if it could be proved for n = 4 and for all odd primes p. In the two centuries following its conjecture (1637–1839), Fermat's Last Theorem was proved for three odd prime exponents p = 3, 5 and 7.

  3. Wiles's proof of Fermat's Last Theorem - Wikipedia

    en.wikipedia.org/wiki/Wiles's_proof_of_Fermat's...

    Fermat's Last Theorem, formulated in 1637, states that no three positive integers a, b, and c can satisfy the equation + = if n is an integer greater than two (n > 2).. Over time, this simple assertion became one of the most famous unproved claims in mathematics.

  4. Proof of Fermat's Last Theorem for specific exponents

    en.wikipedia.org/wiki/Proof_of_Fermat's_Last...

    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. The statement of the theorem involves an integer exponent n larger than 2.

  5. Pierre de Fermat - Wikipedia

    en.wikipedia.org/wiki/Pierre_de_Fermat

    He invented a factorization method—Fermat's factorization method—and popularized the proof by infinite descent, which he used to prove Fermat's right triangle theorem which includes as a corollary Fermat's Last Theorem for the case n = 4. Fermat developed the two-square theorem, and the polygonal number theorem, which states that each ...

  6. Fermat's Last Theorem (book) - Wikipedia

    en.wikipedia.org/wiki/Fermat's_Last_Theorem_(book)

    Fermat's Last Theorem is a popular science book (1997) by Simon Singh.It tells the story of the search for a proof of Fermat's Last Theorem, first conjectured by Pierre de Fermat in 1637, and explores how many mathematicians such as Évariste Galois had tried and failed to provide a proof for the theorem.

  7. Algebraic number theory - Wikipedia

    en.wikipedia.org/wiki/Algebraic_number_theory

    Fermat's Last Theorem was first conjectured by Pierre de Fermat in 1637, famously in the margin of a copy of Arithmetica where he claimed he had a proof that was too large to fit in the margin. No successful proof was published until 1995 despite the efforts of countless mathematicians during the 358 intervening years.

  8. Portal:Mathematics/Selected article/16 - Wikipedia

    en.wikipedia.org/wiki/Portal:Mathematics/...

    Fermat's Last Theorem is one of the most famous theorems in the history of mathematics. It states that: It states that: a n + b n = c n {\displaystyle a^{n}+b^{n}=c^{n}} has no solutions in non-zero integers a {\displaystyle a} , b {\displaystyle b} , and c {\displaystyle c} when n {\displaystyle n} is an integer greater than 2.

  9. Timeline of number theory - Wikipedia

    en.wikipedia.org/wiki/Timeline_of_number_theory

    1983 — Gerd Faltings proves the Mordell conjecture and thereby shows that there are only finitely many whole number solutions for each exponent of Fermat's Last Theorem. 1994 — Andrew Wiles proves part of the Taniyama–Shimura conjecture and thereby proves Fermat's Last Theorem. 1999 — the full Taniyama–Shimura conjecture is proved.