Diophantine quintuple

GPTKB entity

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
https://www.w3.org/2000/01/rdf-schema#label Diophantine quintuple
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 7