Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Catalan's_conjecture
|
| gptkbp:conjectureYear |
1844
|
| gptkbp:field |
number theory
|
| gptkbp:formerName |
gptkb:Catalan's_conjecture
|
| gptkbp:hasConjecture |
gptkb:Eugène_Charles_Catalan
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mihăilescu's theorem
|
| gptkbp:namedAfter |
gptkb:Preda_Mihăilescu
|
| gptkbp:provenBy |
gptkb:Preda_Mihăilescu
|
| gptkbp:publicationYear |
2004
|
| gptkbp:publishedIn |
gptkb:Journal_für_die_reine_und_angewandte_Mathematik
|
| gptkbp:relatedTo |
gptkb:Diophantine_equations
perfect powers |
| gptkbp:state |
The only solution in the natural numbers of x^a - y^b = 1 for x, y > 0, a, b > 1 is x=3, a=2, y=2, b=3.
|
| gptkbp:yearProved |
2002
|
| gptkbp:bfsParent |
gptkb:Catalan's_conjecture
|
| gptkbp:bfsLayer |
7
|