Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
congruent numbers
|
| gptkbp:defines |
A congruent number is a positive integer that is the area of a right triangle with rational side lengths.
|
| gptkbp:exampleOfCongruentNumber |
5
6 7 |
| gptkbp:exampleOfNonCongruentNumber |
2
1 3 |
| gptkbp:field |
number theory
arithmetic geometry |
| gptkbp:historicalName |
ancient mathematics
|
| https://www.w3.org/2000/01/rdf-schema#label |
congruent number problem
|
| gptkbp:notableAchievement |
gptkb:Tunnell's_theorem
|
| gptkbp:notablePerson |
gptkb:Fermat
gptkb:John_Tate gptkb:Jerrold_Tunnell |
| gptkbp:openProblem |
general solution
|
| gptkbp:relatedTo |
gptkb:Birch_and_Swinnerton-Dyer_conjecture
gptkb:Diophantine_equations modular forms elliptic curves rational numbers right triangles |
| gptkbp:type |
which positive integers are congruent numbers
|
| gptkbp:bfsParent |
gptkb:Fermat's_right_triangle_theorem
gptkb:Tunnell's_theorem |
| gptkbp:bfsLayer |
8
|