Erdős–Straus conjecture

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo n ≥ 2
gptkbp:category unsolved problems in mathematics
gptkbp:field number theory
gptkbp:form 4/n = 1/x + 1/y + 1/z for integers x, y, z > 0
https://www.w3.org/2000/01/rdf-schema#label Erdős–Straus conjecture
gptkbp:namedAfter gptkb:Paul_Erdős
gptkb:Ernst_G._Straus
gptkbp:proposedBy gptkb:Paul_Erdős
gptkb:Ernst_G._Straus
gptkbp:relatedTo gptkb:Diophantine_equation
Egyptian fraction
gptkbp:sentence For every integer n ≥ 2, the fraction 4/n can be written as the sum of three positive unit fractions.
gptkbp:status open
gptkbp:verifiedUpTo n = 10^{17} (as of 2024)
gptkbp:yearProposed 1948
gptkbp:bfsParent gptkb:Paul_Erdős
gptkbp:bfsLayer 4