MSC2020 · 11-XX

Number theory

2,862 mapped entries · Browse and filter all →

Counts include all statuses and descendants. Classifications are editorial or inferred from community fields, not an AMS assessment of the problem.

Subcategories

11-00General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to number theory0 11-01Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory0 11-02Research exposition (monographs, survey articles) pertaining to number theory0 11-03History of number theory0 11-04Software, source code, etc. for problems pertaining to number theory0 11-06Proceedings, conferences, collections, etc. pertaining to number theory0 11-11Research data for problems pertaining to number theory0 11AxxElementary number theory3 11BxxSequences and sets24 11CxxPolynomials and matrices3 11DxxDiophantine equations6 11ExxForms and linear algebraic groups0 11FxxDiscontinuous groups and automorphic forms2 11GxxArithmetic algebraic geometry (Diophantine geometry)6 11HxxGeometry of numbers1 11JxxDiophantine approximation, transcendental number theory5 11KxxProbabilistic theory: distribution modulo

1

; metric theory of algorithms4 11LxxExponential sums and character sums1 11MxxZeta and

L

-functions: analytic theory4 11NxxMultiplicative number theory10 11PxxAdditive number theory; partitions5 11RxxAlgebraic number theory: global fields10 11SxxAlgebraic number theory: local fields1 11TxxFinite fields and commutative rings (number-theoretic aspects)0 11UxxConnections of number theory and logic0 11YxxComputational number theory6 11ZxxMiscellaneous applications of number theory0

Mapped problems

OP-10073Number theoryStatus unassessed

Can a prime $p$ satisfy $2^{p-1} \equiv 1 \pmod{p^2}$ and $3^{p-1} \equiv 1 \pmod{p^2}$ ?

Can a prime p satisfy 2^ p-1 equiv 1 pmod p^2 and 3^ p-1 equiv 1 pmod p^2 ?

Formal Conjectures· Specialist source · status unassessed

OP-10066Number theoryStatus unassessed

Open questions on transcendence of numbers

Formal Conjectures· Specialist source · status unassessed

OP-10064Number theoryStatus unassessed

Taxicab numbers

Formal Conjectures· Specialist source · status unassessed

OP-10063Number theoryStatus unassessed

(m,k)-perfect numbers

Formal Conjectures· Specialist source · status unassessed

OP-10062Number theoryStatus unassessed

Sum of three cubes

Formal Conjectures· Specialist source · status unassessed

OP-10058Number theoryStatus unassessed

Solitary Numbers

Formal Conjectures· Specialist source · status unassessed

Journals & articles in MSC 11

These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.

Algebra & Number Theory ↗

Mathematical Sciences Publishers

Algebra, number theory and their connections

EMS Surveys in Mathematical Sciences ↗

European Mathematical Society / EMS Press

Mathematical surveys

Current trends and open problems in arithmetic dynamics
2019 · 3 questions extracted

View source evidence →

Subcategories

Mapped problems

Woodal Primes

Wolstenholme Prime

Wilson primes

Wieferich primes

Can a prime ppp satisfy 2p−1≡1(modp2)2^{p-1} \equiv 1 \pmod{p^2}2p−1≡1(modp2) and 3p−1≡1(modp2)3^{p-1} \equiv 1 \pmod{p^2}3p−1≡1(modp2)?

Open questions on transcendence of numbers

Taxicab numbers

(m,k)-perfect numbers

Sum of three cubes

Solitary Numbers

Journals & articles in MSC 11

Can a prime $p$ satisfy $2^{p-1} \equiv 1 \pmod{p^2}$ and $3^{p-1} \equiv 1 \pmod{p^2}$ ?