Izvorni znanstveni članak
The extensibility of $D(4)$-pairs
Ljubica Baćić
orcid.org/0000-0002-8634-4853
; Nikola Andrić Primary School, Vukovar, Croatia
Alan Filipin
; Faculty of Civil Engineering, University of Zagreb, zagreb, Croatia
Sažetak
The set of $m$ positive integers with the property that the product of any two of them increased by $4$ is a perfect square is called a $D(4)$-$m$-tuple. In this paper we consider the extensibility of general $D(4)$-pair $\{a,b\}$ and prove some results that support the conjecture that there does not exist a $D(4)$-quintuple.
Ključne riječi
Diphantine tuples; system of Diophantine equations
Hrčak ID:
110851
URI
Datum izdavanja:
19.11.2013.
Posjeta: 1.152 *