Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Diophantine_equation
|
| gptkbp:category |
Exponential Diophantine equation
|
| gptkbp:conjectureYear |
1913
|
| gptkbp:field |
gptkb:Number_theory
|
| gptkbp:hasConjecture |
gptkb:Srinivasa_Ramanujan
|
| gptkbp:hasEquation |
2^n - 7 = x^2
|
| https://www.w3.org/2000/01/rdf-schema#label |
Ramanujan–Nagell equation
|
| gptkbp:namedAfter |
gptkb:Srinivasa_Ramanujan
Trygve Nagell |
| gptkbp:notableSolutions |
n = 3, 4, 5, 7, 15
x = 1, 3, 5, 11, 181 |
| gptkbp:numberOfSolutions |
5
|
| gptkbp:provenBy |
Trygve Nagell
|
| gptkbp:relatedTo |
gptkb:Catalan's_conjecture
Pell equation |
| gptkbp:solvedBy |
Integer solutions
|
| gptkbp:yearProved |
1948
|
| gptkbp:bfsParent |
gptkb:Ramanujan
|
| gptkbp:bfsLayer |
7
|