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Original scientific paper

Some rational Diophantine sextuples

Philip Gibbs


Full text: english pdf 209 Kb

page 195-203

downloads: 933

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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.

Keywords

Diophantine sextuple; regular Diophantine quintuple; irregular Diophantine quintuple

Hrčak ID:

5845

URI

https://hrcak.srce.hr/5845

Publication date:

9.12.2006.

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