Number Theory

    

A Survey of Rational Diophantine Sextuples of Low Height

Authors: Philip Gibbs

A rational Diophantine m-tuple is a set of m distinct positive rational numbers such that the product of any two is one less than a rational number squared. A computational search has been used to find over 1000 examples of rational Diophantine sextuples of low height which are then analysed in terms of algebraic relationships between entries. Three examples of near-septuples are found where a rational Diophantine quintuple can be extended to sextuples in two different ways so that the combination fails to be a rational Diophantine septuple only in one pair.

Comments: Pages. DOI: 10.13140/RG.2.2.29253.65761

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Submission history

[v1] 2016-10-02 14:25:25
[v2] 2016-10-26 05:46:31

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