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
|
| 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 |
5
|
| https://www.w3.org/2000/01/rdf-schema#label |
Erdős–Straus conjecture
|