Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Diophantine_equation
|
| gptkbp:field |
gptkb:Number_theory
|
| gptkbp:form |
1^k + 2^k + ... + (m-1)^k = m^k
|
| gptkbp:hasConjecture |
No other integer solutions exist for k > 1
|
| https://www.w3.org/2000/01/rdf-schema#label |
Erdős–Moser equation
|
| gptkbp:knownIntegerSolution |
m=2, k=1
|
| gptkbp:namedAfter |
gptkb:Paul_Erdős
gptkb:Leo_Moser |
| gptkbp:openProblem |
Yes
|
| gptkbp:proposedBy |
gptkb:Paul_Erdős
gptkb:Leo_Moser |
| gptkbp:relatedTo |
Diophantine analysis
Sum of powers |
| gptkbp:variant |
m, k
|
| gptkbp:yearProposed |
1953
|
| gptkbp:bfsParent |
gptkb:Paul_Erdős
|
| gptkbp:bfsLayer |
4
|