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Theorem

Proof of Fermat's Last Theorem for Specific Exponents

Number Theory

Fermat's Last Theorem, first stated by Pierre de Fermat in 1637, was not proved for every exponent until Andrew Wiles's general proof in 1995. In the centuries between, mathematicians proved the theorem for particular exponents one at a time rather than all at once. Fermat himself proved the case where the exponent is 4, using the method of infinite descent, an early example of that proof technique.

Facts
Classification
Statement Form
Inequality 1
Statement Form
Identity or Equation 1
Statement
Fermat's Last Theorem states that no three positive integers (a, b, c) can satisfy the equation a^n + b^n = c^n for any integer value of n greater than 2. 1
Connections

Has Statement Form

Equation, Concepts
Identity, Concepts
Inequality, Concepts

In Branch

Source Proof of Fermat's Last Theorem for specific exponents - Wikipedia

Proved By

Source Proof of Fermat's Last Theorem for specific exponents - Wikipedia
Sources
1. Proof of Fermat's Last Theorem for specific exponents - Wikipedia
  • 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.
  • In Branch: Number Theory, Lead sentence
    Fermat's Last Theorem is a theorem in number theory, originally stated by Pierre de Fermat in 1637 and proven by Andrew Wiles in 1
  • Proved By: Andrew Wiles, Lead section
    originally stated by Pierre de Fermat in 1637 and proven by Andrew Wiles in 1995
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