Linked from
The 46 pages that link to Number theory, each with the reason it gives.
Carl Friedrich GaussNarrower topic: Gauss transformed the subject with systematic results on congruences and quadratic forms.
Bernhard RiemannNarrower topic: Questions about prime numbers led Riemann to his celebrated hypothesis.
Euclid's ElementsNarrower topic: Books VII through IX develop divisibility, primes, and properties of numbers.
Paul ErdősNarrower topic: Erdős used elementary and probabilistic methods to establish results about prime numbers and other integers.
Fermat's little theoremNarrower topic: The theorem became a basic result in the modern study of divisibility and primes.
André WeilNarrower topic: Arithmetic questions supplied many of the problems Weil recast geometrically.
Pierre de FermatNarrower topic: Fermat’s conjectures and theorems helped establish number theory as a central mathematical field.
Dirichlet's theorem on arithmetic progressionsNarrower topic: The theorem is a landmark result about how primes occupy integer residue classes.
Srinivasa RamanujanNarrower topic: Its questions about primes, partitions, and divisibility run through Ramanujan’s research.
DiophantusNarrower topic: Problems associated with Diophantus became part of the later study of integer solutions.
Disquisitiones ArithmeticaeNarrower topic: The book helped establish number theory as a systematic mathematical discipline.
Marin MersenneNarrower topic: Mersenne’s name remains attached to a distinctive family of numbers studied in this field.
Schur's theoremNarrower topic: Schur's original proof linked additive color patterns to questions about integer equations.
Carl Gustav Jacob JacobiNarrower topic: Jacobi’s contributions include results on sums of squares and quadratic forms.
Wacław SierpińskiNarrower topic: His research included problems about integers, primes, and Diophantine equations.
ArithmeticNarrower topic: Number theory investigates patterns and structure in the numbers arithmetic calculates with.
John Horton ConwayNarrower topic: Conway’s work ranged from quadratic forms to the structure of integers.
Sophie GermainNarrower topic: Her work on Fermat’s equation used properties of primes and divisibility.
Integer sequenceNarrower topic: Integer sequences often reveal divisibility and prime-number patterns.
James Joseph SylvesterNarrower topic: Sylvester’s research included prime numbers, partitions, and Diophantine questions.
Peter Gustav Lejeune DirichletNarrower topic: Dirichlet’s principal results concern primes, divisibility, and arithmetic structure.
Infinite descentNarrower topic: Infinite descent became a recurring proof method in the study of integer equations.
Minkowski's theorem (geometry of numbers)Narrower topic: The theorem applies geometric reasoning to questions about integer solutions and approximations.
Catalan's conjectureNarrower topic: The conjecture is a landmark problem about integer powers.
Wilson's theoremNarrower topic: The theorem emerged from eighteenth-century investigations of prime numbers and congruences.
Pafnuty ChebyshevNarrower topic: Chebyshev’s results on prime numbers became landmarks in the study of integers.
Qin JiushaoNarrower topic: His congruence method is a major historical contribution to integer arithmetic.
Erdős–Straus conjectureNarrower topic: The conjecture is an unresolved statement about integer-indexed rational identities.
Fermat polygonal number theoremNarrower topic: The theorem belongs to the study of additive representations of integers.
Pentagonal number theoremNarrower topic: Generalized pentagonal exponents connect the identity to arithmetic properties of integers.
Robert LanglandsNarrower topic: Langlands’s conjectures recast arithmetic questions in terms of symmetries and representations.
Serge LangNarrower topic: Lang’s research and conjectures helped shape modern arithmetic geometry.
Ngô Bảo ChâuNarrower topic: The Langlands program connects the harmonic-analysis results to arithmetic questions.
Richard K. GuyNarrower topic: Guy’s research and problem writing repeatedly returned to questions about integers.
Sophie Germain's identityNarrower topic: The identity’s fame comes chiefly from its role in integer divisibility arguments.
Gotthold EisensteinNarrower topic: Eisenstein’s work on primes and reciprocity belongs to this broader field.
Melanie WoodNarrower topic: Wood studies arithmetic questions about number fields, groups, and integer-valued structures.
Midy's theoremNarrower topic: Midy’s theorem belongs to number theory through its use of primes, remainders, and divisibility.
Proth's theoremNarrower topic: The theorem emerged from questions about the structure and testing of primes.
Von Staudt–Clausen theoremNarrower topic: The theorem links rational-number denominators to divisibility conditions on primes.