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Searching for Diophantine quintuples

Cipu, Mihai; Trudgian, Tim


We consider Diophantine quintuples {a,b,c,d,e}. These are sets of positive integers, the product of any two elements of which is one less than a perfect square. It is conjectured that there are no Diophantine quintuples; we improve on current estimates to show that there are at most 5.441⋅10²⁶ Diophantine quintuples.

CollectionsANU Research Publications
Date published: 2016-05-18
Type: Journal article
Source: Acta Arithmetica
DOI: 10.4064/aa8254-2-2016
Access Rights: Open Access


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