Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
A set of five positive integers such that the product of any two, increased by 1, is a perfect square
|
| gptkbp:generalizes |
gptkb:Diophantine_quadruple
|
| gptkbp:namedAfter |
gptkb:Diophantus_of_Alexandria
|
| gptkbp:notableAchievement |
No Diophantine quintuple of positive integers is known
|
| gptkbp:openProblem |
Existence of Diophantine quintuples with all elements positive integers
|
| gptkbp:relatedTo |
Diophantine m-tuple
Diophantine sextuple Diophantine triple |
| gptkbp:studiedIn |
number theory
|
| gptkbp:bfsParent |
gptkb:Diophantine_tuple
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Diophantine quintuple
|