Fermat's Last Theorem

No integer cubes sum to cubes

Fermat's Last Theorem is a mathematical proposition stating that no three positive integers can satisfy the equation aⁿ + bⁿ = cⁿ when n is greater than 2.

The French mathematician Pierre de Fermat famously wrote in 1637 that he had discovered a proof but that the margin of his book was too small to contain it.

The theorem resisted proof for over 350 years until Andrew Wiles finally proved it in 1995, making it one of the most celebrated results in the history of mathematics.

numbertheory

prime

Readying for action

factorization · cyclotomic fields · natural numbers · counterexample

proof

1995

Year before 1996

correction · seven years · secrecy

conjecture

hypothesis

Testable proposed explanation

supposition · assumption · margin note · assertion · mathematical statement · seventeenth century · notebook · annotation

legacy

prize

Reward for winning

milestone

Opposites
solvability/proof status

Fermat's Last Theoremunsolved problems

equation structure

Fermat's Last TheoremPythagorean theorem

Relates right triangle sides

tautologies · proof by contradiction

mathematical fame/accessibility

Fermat's Last Theoremquadratic formula

Equation solving ax²+bx+c=0

multiplication tables · Euclidean geometry

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theory, theorem, theoretical, theorize, theorist, theorists, theorems, Fermat

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