Some Rational Diophantine Sextuples

Philip Gibbs

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Some Rational Diophantine Sextuples

Philip Gibbs

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Abstract

A famous problem posed by Diophantus was to find sets of distinct positive rational numbers such that the product of any two is one less than a rational square. Some sets of six such numbers are presented and the computational algorithm used to find them is described. A classification of quadruples and quintuples with examples and statistics is also given.

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Philip Gibbs. 1999-02-13. Some Rational Diophantine Sextuples. https://arxiv.org/abs/math/9902081

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