Pierre de Fermat

Pierre de Fermat

AD 1607 - AD 1665
Toulouse
Renaissance

Life

A pioneer of number theory. Famous for Fermat's Last Theorem — a margin note that took 358 years to prove.

In one line
I have a truly marvelous proof, but the margin is too narrow to contain it.

Decisive moments

AD 1637

A note in the margin of Diophantus

Toulouse

He recorded the theorem and a claim of proof in a Latin Arithmetica. The original note is lost and is known through the posthumous edition published by his son in 1670.

AD 1640

Fermat's little theorem

He discovered that a^p ≡ a (mod p) for prime p — 300 years later the basis of RSA encryption.

AD 1654

Correspondence with Pascal — the birth of probability

Letters with Pascal over a question from the gambler Chevalier de Méré — the first appearance of expected value.

If this person hadn't existed

This is a thought experiment about influence, not a verified historical fact.

The margin note is less important than the mathematics generated around his questions: descent arguments, results on primes, methods for tangents and extrema, and the probability correspondence with Pascal fed several later traditions.

Beyond MathVoyage

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