French lawyer and magistrate at the Parlement of Toulouse who pursued mathematics as an amateur, corresponding with contemporaries such as Pascal and Mersenne rather than publishing formally. His work with Blaise Pascal on a gambling problem in 1654 is usually credited as founding probability theory, and Fermat's Little Theorem is still central to number theory and modern cryptography. He is best remembered for a note he wrote in the margin of his copy of Diophantus's Arithmetica around 1637, claiming to have a remarkable proof that no three positive integers can satisfy a to the n plus b to the n equals c to the n for any integer n greater than two, a proof he said the margin was too narrow to contain. No such proof was ever found among his papers, and the claim, Fermat's Last Theorem, went unproven for 358 years.
Facts
BirthplaceBeaumont-de-Lomagne, Kingdom of France 2 Death PlaceCastres, Kingdom of France 2 Nationality / Culture Defining ContributionFounded probability theory with Pascal; Fermat's Little Theorem in number theory; the marginal conjecture known as Fermat's Last Theorem, unproven for 358 years. 2 Notable WorkMarginal annotations to Diophantus's Arithmetica (c. 1637); correspondence with Pascal (1654) 2 Disputed
Birth DateSome sources give 1601; the discrepancy traces to confusion between Fermat and an older half-brother of the same name who died in infancy. 1607 is MacTutor's and most modern scholarship's preferred date. Birth YearSome sources give 1601; see the birth-date note. Connections
Associated With
Source MacTutor History of Mathematics Archive
Source MacTutor History of Mathematics Archive
Attributed Works
Source Wikipedia: Fermat number
Conjectures Posed
Source Encyclopaedia Britannica, Mathematics
Additional Source Wikipedia: Fermat's Last TheoremHistory section
In Branch
Source MacTutor History of Mathematics Archive
Source MacTutor History of Mathematics Archive
Namesake Of
Proofs Credited
Source Interior Extremum Theorem (Wikipedia)
Source Proof by Infinite Descent (Wikipedia)
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Sources
1. Wikipedia: Pierre de Fermat
WikipediaLead sectionQuote, Lead section
Pierre de Fermat (; French: [pjɛʁ də fɛʁma]; 17 August 1601 - 12 January 1665) was a French magistrate, polymath, and mathematician credited for early developments that led to infinitesimal calculus, including his technique of adequality.
View the Source 2. MacTutor History of Mathematics Archive
University of St Andrews, School of Mathematics and StatisticsAssociated With: Probability, https://mathshistory.st-andrews.ac.uk/Biographies/Pascal/
In correspondence with Fermat he laid the foundation for the theory of probability. This correspondence consisted of five letters and occurred in the summer of 1654.
Associated With: Number Theory, https://mathshistory.st-andrews.ac.uk/Biographies/Fermat/
Fermat is best remembered for this work in number theory, in particular for Fermat's Last Theorem.
View the Source Wikipedia: Fermat's Last Theorem
Wikimedia FoundationConjectures Posed: Fermat's Last Theorem, History sectionQuote, Conjectures Posed: Fermat's Last Theorem, History section
Around 1637, Fermat wrote his Last Theorem in Latin in the margin of his copy of the Arithmetica next to Diophantus's sum-of-squares problem
View the Source Wikipedia: Fermat number
Attributed Works: Fermat Number, Lead paragraphQuote, Attributed Works: Fermat Number, Lead paragraph
the first known to have studied them
View the Source Interior Extremum Theorem (Wikipedia)
Proofs Credited: Interior Extremum Theorem, Lead sectionQuote, Proofs Credited: Interior Extremum Theorem, Lead section
named after the French mathematician Pierre de Fermat
View the Source Proof by Infinite Descent (Wikipedia)
Proofs Credited: Proof by Infinite Descent, Lead sectionQuote, Proofs Credited: Proof by Infinite Descent, Lead section
also known as Fermat's method of descent
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