Diophantine quadruple

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:defines A set of four positive integers such that the product of any two, increased by 1, is a perfect square
gptkbp:example 1, 3, 8, 120
gptkbp:field number theory
gptkbp:generalizes Diophantine triple
gptkbp:hasProperty no Diophantine quintuple of positive integers exists
finite number of integer quadruples
https://www.w3.org/2000/01/rdf-schema#label Diophantine quadruple
gptkbp:namedAfter gptkb:Diophantus_of_Alexandria
gptkbp:relatedTo Diophantine m-tuple
perfect square
gptkbp:studiedIn gptkb:Diophantine_equations
gptkbp:bfsParent gptkb:Diophantine_tuple
gptkbp:bfsLayer 7