Searching for Diophantine quintuples
Mihai Cipu ; Tim Trudgian
Acta Arithmetica, Tome 172 (2016), p. 365-382 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:286290 
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Mihai Cipu; Tim Trudgian. Searching for Diophantine quintuples. Acta Arithmetica, Tome 172 (2016) pp. 365-382. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa8254-2-2016/