Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Mihăilescu's_theorem
|
| gptkbp:countryOfOrigin |
gptkb:Belgium
|
| gptkbp:field |
number theory
|
| gptkbp:formedBy |
gptkb:Eugène_Charles_Catalan
1844 |
| https://www.w3.org/2000/01/rdf-schema#label |
Catalan's conjecture
|
| 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 x, y > 0 and a, b > 1 is 3^2 - 2^3 = 1.
|
| gptkbp:yearProved |
2002
|
| gptkbp:bfsParent |
gptkb:abc_conjecture
gptkb:Unsolved_Problems_in_Number_Theory |
| gptkbp:bfsLayer |
6
|