Original scientific paper

A note on the number of D(4)-quintuples

Ljubica Baćić orcid.org/0000-0002-8634-4853 ; Primary School Nikola Andrić, 32000 Vukovar, Croatia
Alan Filipin ; Faculty of Civil Engineering, University of Zagreb, 1000 Zagreb, Croatia

Abstract

In this paper we will significantly improve the known bound on the number of D(4)-quintuples, illustrating the elegant use of
the results the authors proved in [1] together with more efficient way of
counting the number of m-tuples that was introduced in [5]. More precisely, we prove that there are at most 7 · 10^36 D(4)-quintuples.

Keywords

Diophantine tuples; simultaneous Diophantine equations

Hrčak ID:

127638

URI

https://hrcak.srce.hr/127638

Publication date:

30.9.2014.

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