Prime decomposition theorem

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Fundamental_theorem_of_arithmetic
gptkbp:appliesTo Positive integers greater than 1
gptkbp:field gptkb:Number_theory
gptkbp:firstPublished gptkb:Disquisitiones_Arithmeticae
https://www.w3.org/2000/01/rdf-schema#label Prime decomposition theorem
gptkbp:implies Prime factorization is unique except for the order of the factors
gptkbp:provenBy gptkb:Carl_Friedrich_Gauss
gptkbp:publicationYear 1801
gptkbp:relatedConcept gptkb:Unique_factorization_domain
gptkb:Prime_number
Euclidean domain
Greatest common divisor
Least common multiple
Composite number
gptkbp:state Every integer greater than 1 can be represented uniquely as a product of prime numbers, up to the order of the factors.
gptkbp:bfsParent gptkb:3-manifold_topology
gptkbp:bfsLayer 7