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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

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Identity, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Inequality, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

In Branch

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 section
    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.
  • 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
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