Goldbach's conjecture

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:strong_Goldbach_conjecture
gptkbp:communicatedTo gptkb:Leonhard_Euler
gptkbp:field number theory
gptkbp:formedBy gptkb:Christian_Goldbach
1742
gptkbp:hasNoCounterexampleFound true
gptkbp:hasOpenProblemStatus true
https://www.w3.org/2000/01/rdf-schema#label Goldbach's conjecture
gptkbp:influenced research in analytic number theory
gptkbp:originalFormulation Every integer greater than 5 can be written as the sum of three primes.
gptkbp:relatedTo gptkb:weak_Goldbach_conjecture
additive number theory
prime numbers
gptkbp:sentence Every even integer greater than 2 can be expressed as the sum of two prime numbers.
gptkbp:status unproven
gptkbp:testedUpTo 4 × 10^18 (as of 2022)
gptkbp:bfsParent gptkb:Christian_Goldbach
gptkbp:bfsLayer 5