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Scientific paper - Original scientific paper
Nonexistence of D(4)-quintuples
Journal of Number Theory, 194 (2019); 170-217. urn:nbn:hr:237:779977
Bliznac Trebješanin, Marija; Filipin, Alan

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Bliznac Trebješanin, M. & Filipin, A. (2019). Nonexistence of D(4)-quintuples. Journal of Number Theory, 194., 170-217. Retrieved from https://urn.nsk.hr/urn:nbn:hr:237:779977

Bliznac Trebješanin, Marija and Alan Filipin. "Nonexistence of D(4)-quintuples." Journal of Number Theory, vol. 194, 2019, pp. 170-217. https://urn.nsk.hr/urn:nbn:hr:237:779977

Bliznac Trebješanin, Marija and Alan Filipin. "Nonexistence of D(4)-quintuples." Journal of Number Theory 194 (2019): 170-217. https://urn.nsk.hr/urn:nbn:hr:237:779977

Bliznac Trebješanin, M. and Filipin, A. (2019) 'Nonexistence of D(4)-quintuples', Journal of Number Theory, 194, pp. 170-217. Available at: https://urn.nsk.hr/urn:nbn:hr:237:779977 (Accessed 12 November 2024)

Bliznac Trebješanin M, Filipin A. Nonexistence of D(4)-quintuples. Journal of Number Theory [Internet]. 2019 [cited 2024 November 12];194:170-217. Available at: https://urn.nsk.hr/urn:nbn:hr:237:779977

M. Bliznac Trebješanin and A. Filipin, "Nonexistence of D(4)-quintuples", Journal of Number Theory, vol. 194, pp. 170-217, 2019. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:237:779977. [Accessed: 12 November 2024]

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Metadata
Title (english)Nonexistence of D(4)-quintuples
AuthorMarija Bliznac Trebješanin
AuthorAlan Filipin
Author's institutionUniversity of Zagreb
Faculty of Civil Engineering
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Abstract (english)
We call the set of m positive distinct integers D(n)-m-tuple if the product of any of its two elements increased by n is a perfect square. Recently, a conjecture about nonexistence of D(1)-quintuples was proven. We will show how we have proven that a D(4)-quintuple also doesn’t exist and present some facts about the conjecture that an extension of a D(n)-triple to a D(n)-quadruple is unique, which is still an open problem in both cases n = 1 and n = 4. This is a joint work with A. Filipin.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleJournal of Number Theory
Numberingvol. 194, pp. 170-217
e-ISSN1096-1658
URN:NBNurn:nbn:hr:237:779977
Publication2019
Document URLhttps://doi.org/10.1016/j.jnt.2018.07.013
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-09-04 06:47:55