Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pillai's conjecture
|
| gptkbp:namedAfter |
gptkb:S._S._Pillai
|
| gptkbp:proposedBy |
gptkb:S._S._Pillai
|
| gptkbp:relatedTo |
gptkb:Diophantine_equations
gptkb:Catalan's_conjecture perfect powers |
| gptkbp:sentence |
For any positive integer k, the equation x^a - y^b = k has only finitely many solutions in natural numbers x, y, a, b with a, b > 1.
|
| gptkbp:status |
open
|
| gptkbp:yearProposed |
1945
|
| gptkbp:bfsParent |
gptkb:Kuppuswami_Venkataraman_Subramanian_Pillai
gptkb:Kuppuswami_Venkataraman_Subramanian_Subramania_Pillai gptkb:S._S._Pillai |
| gptkbp:bfsLayer |
6
|