Glasnik matematički, Vol. 41 No. 2, 2006.
Original scientific paper
Some rational Diophantine sextuples
Philip Gibbs
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
Publication date:
9.12.2006.
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