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Cluster prime

In number theory, a cluster prime is a prime number p such that every even positive integer k ≤ p − 3 can be written as the difference between two prime numbers not exceeding p (OEIS: A038134). For example, the number 23 is a cluster prime because 23 − 3 = 20, and every even integer from 2 to 20, inclusive, is the difference of at least one pair of prime…

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Cluster prime

Nodes23
Edges22
Triples12
Avg. degree1.91
Density0.086957
Components1

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Cluster prime

Top relations

related to Properties · 8
Cluster prime → Blecksmith, For, If, In, It, Richard Blecksmith, Specifically, The
related to External links · 3
Cluster prime → Eric, MathWorld, Weisstein
is a · 1
Cluster prime → prime number p such that every even positive integer k

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Important terminology

cluster prime primes pair less number numbers first integer difference two exceeding 23 non-cluster greater every even odd gap six

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Cluster primeis aprime number p such that every even positive integer k0.90text
Cluster primerelated to External linksWeisstein0.60section
Cluster primerelated to External linksEric0.60section
Cluster primerelated to External linksMathWorld0.60section
Cluster primerelated to PropertiesThe0.60section
Cluster primerelated to PropertiesFor0.60section
Cluster primerelated to PropertiesIf0.60section
Cluster primerelated to PropertiesIn0.60section
Cluster primerelated to PropertiesRichard Blecksmith0.60section
Cluster primerelated to PropertiesBlecksmith0.60section
Cluster primerelated to PropertiesSpecifically0.60section
Cluster primerelated to PropertiesIt0.60section

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    Min side: 3
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