Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Prime number

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a product (2…

History, Applications & Products

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around Prime number. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Definition and examples

History

Elementary properties

Analytic properties

Abstract algebra

Computational methods

Other applications

Generators and calculators

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Prime number

Nodes341
Edges340
Triples287
Avg. degree1.99
Density0.005865
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Prime number

Top relations

related to Primality of one · 28
Prime number → Boethius, By, Cassiodorus, Christian Goldbach, Derrick Norman Lehmer, Eratosthenes, Euclid, Euler, Euler's, For, Greek, Greeks, However, Iamblichus, If, In, Islamic, Leonhard Euler, Lists, Many
related to history · 27
Prime number → AD, Alhazen, Another Greek, Another Islamic, Around, Banna, BC, Egyptian, Eratosthenes, Euclid's, Euclid's Elements, Europe, Fibonacci, From, Greek, Haytham, He, His, However, Ibn
related to Open questions · 26
Prime number → Also, Andrica's, Another, As, Brocard's, Chen's, Cramér, For, Goldbach's, Hardy, However, It, Landau's, Legendre's, Littlewood, Many, Often, One, Oppermann's, Polignac's
related to Arts and literature · 24
Prime number → According, American, Asperger, Carl Sagan, Contact, Dog, Frank Drake, In, La Nativité, Mark Haddon, Messiaen, Neumes, Night-Time, Olivier Messiaen, Paolo Giordano, Prime, Prime Numbers, Quatre, Seigneur, Sneakers
has application · 17
Prime number → Another, Any, As, Carter, Diffie, Eisenstein's, For, Generally, Hellman, It, Often, Prime, RSA, Several, The, The Diffie, Wegman
related to External links · 16
Prime number → BBC, Caldwell, Cambridge, Chris, December, EMS Press, Encyclopedia, In Our Time, Mathematics, Millennium Mathematics Project, Plus, Prime, Prime Numbers, Teacher, The Prime Pages, University
related to Primality testing versus primality proving · 15
Prime number → AKS, Because, For, If, In, Las Vegas, Monte Carlo, On, Solovay, Some, Strassen, The, The AKS, These, When
related to Prime ideals · 15
Prime number → Arithmetic, Chebotarev's, Dirichlet's, Early, Fermat's Last Theorem, For, In, Kummer's, Lasker, Noether, Noetherian, Not, Prime, The, These
related to Zeta function and the Riemann hypothesis · 13
Prime number → Euler, For, If, In, It, Millennium Prize Problems, One, Riemann, Riemann's, The, The Euler, The Riemann, This
related to Infinitude · 12
Prime number → Another, Euclid, Euclid's, Euler, Fermat, Furstenberg's, Goldbach's, Greek, Kummer's, Many, There, This

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

prime numbers number displaystyle primes theorem many product primality integer two factorization composite large one arithmetic infinitely used example sum

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the Meisselinstance ofMethods0.80text
British mathematician Ginstance ofnumber theorists0.80text
the type of computer used to run the algorithminstance ofthis factor depends on implementation details0.80text
but not on the input parametersinstance ofthis factor depends on implementation details0.80text
mutually unbiased basesinstance ofthanks to mathematical structures0.80text
symmetric informationally complete positive-operator-valued measures.BiologyThe evolutionary strategy used by cicadas of the genus Magicicada makes use of prime numbersinstance ofthanks to mathematical structures0.80text
La Nativité du Seigneurinstance ofIn works0.80text
symmetric informationally complete positive-operator-valued measuresinstance ofthanks to mathematical structures0.80text
Prime numberhas applicationSeveral0.60section
Prime numberhas applicationRSA0.60section
Prime numberhas applicationDiffie0.60section
Prime numberhas applicationHellman0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.