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Regular prime

In number theory, a regular prime is a special kind of prime number, defined by Ernst Kummer in 1850 to prove certain cases of Fermat's Last Theorem. Regular primes may be defined via the divisibility of either class numbers or of Bernoulli numbers.

History, History and motivation & Siegel's conjecture

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Overview

History and motivation

Definition

Siegel's conjecture

Irregular primes

Generalizations

Advanced semantic analysis

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Map overview Semantic statistics

Regular prime

Nodes36
Edges35
Triples53
Avg. degree1.94
Density0.055556
Components1

How this topic connects Entity context

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Regular prime

Top relations

related to history · 14
Regular prime → Although, As, Fermat's Last Theorem, Genocchi, In, It, Johnson, Kummer, Lehmer, Pollack, Selfridge, Sophie Germain's, This, Wolstenholme
related to External links · 11
Regular prime → Bernoulli, Eric, Euler, Factorization, Fermat's, Irregular, Keith Conrad, MathWorldChris Caldwell, The Prime Glossary, The Prime Pages, Weisstein
related to Siegel's conjecture · 6
Regular prime → Bernoulli, Carl Ludwig Siegel, Here, It, More, Taking Kummer's
related to Euler irregular primes · 5
Regular prime → E-irregular, Euler, Similarly, The, The Euler
related to Infinitude · 5
Regular prime → Carlitz, In, Jensen, Metsänkylä, Niels Nielsen
related to Irregular pairs · 4
Regular prime → Bernoulli, If, In, The
related to Irregular primes · 4
Regular prime → An, B-irregular, Bernoulli, The
related to Irregular index · 3
Regular prime → An, Clearly, The
is a · 1
Regular prime → special kind of prime number

Important terminology Word statistics

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Important terminology

displaystyle irregular prime primes regular number bernoulli first index numbers p-3 theorem class pair fermat's last kummer euler infinitely proved

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Regular primeis aspecial kind of prime number0.90text
Regular primerelated to Euler irregular primesSimilarly0.60section
Regular primerelated to Euler irregular primesEuler0.60section
Regular primerelated to Euler irregular primesE-irregular0.60section
Regular primerelated to Euler irregular primesThe0.60section
Regular primerelated to Euler irregular primesThe Euler0.60section
Regular primerelated to External linksWeisstein0.60section
Regular primerelated to External linksEric0.60section
Regular primerelated to External linksIrregular0.60section
Regular primerelated to External linksMathWorldChris Caldwell0.60section
Regular primerelated to External linksThe Prime Glossary0.60section
Regular primerelated to External linksThe Prime Pages0.60section

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