Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Mihăilescu's_Theorem
|
| gptkbp:field |
number theory
|
| gptkbp:formedBy |
gptkb:Eugène_Charles_Catalan
1844 |
| https://www.w3.org/2000/01/rdf-schema#label |
Catalan's Conjecture
|
| gptkbp:namedAfter |
gptkb:Eugène_Charles_Catalan
|
| gptkbp:provenBy |
gptkb:Preda_Mihăilescu
|
| gptkbp:relatedTo |
gptkb:Diophantine_equations
|
| gptkbp:sentence |
The only solution in the natural numbers of x^a - y^b = 1 for a, b > 1 and x, y > 0 is 3^2 - 2^3 = 1.
|
| gptkbp:status |
proved
|
| gptkbp:yearProved |
2002
|
| gptkbp:bfsParent |
gptkb:Number_Theory
|
| gptkbp:bfsLayer |
7
|