Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
A set of m positive integers such that the product of any two, increased by 1, is a perfect square.
|
| gptkbp:example |
(1, 3, 8, 120) is a Diophantine quadruple
|
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Diophantine tuple
|
| gptkbp:namedAfter |
gptkb:Diophantus_of_Alexandria
|
| gptkbp:property |
Infinitely many Diophantine quadruples exist
No Diophantine sextuple is known to exist No Diophantine quintuple with all elements integers greater than 1 is known |
| gptkbp:relatedTo |
gptkb:Diophantine_equation
gptkb:Diophantine_quadruple gptkb:Diophantine_quintuple |
| gptkbp:studiedBy |
gptkb:Euler
gptkb:Fermat gptkb:Dujella |
| gptkbp:bfsParent |
gptkb:Diophantus
|
| gptkbp:bfsLayer |
6
|