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A Primitive trinomial of degree 6972593

Brent, Richard; Larvala, Samuli; Zimmermann, Paul

Description

The only primitive trinomials of degree 6972593 over GF(2) are x 6972593 + x3037958 + 1 and its reciprocal.

dc.contributor.authorBrent, Richard
dc.contributor.authorLarvala, Samuli
dc.contributor.authorZimmermann, Paul
dc.date.accessioned2015-12-08T22:37:35Z
dc.identifier.issn0025-5718
dc.identifier.urihttp://hdl.handle.net/1885/35590
dc.description.abstractThe only primitive trinomials of degree 6972593 over GF(2) are x 6972593 + x3037958 + 1 and its reciprocal.
dc.publisherAmerican Mathematical Society
dc.sourceMathematics of Computation
dc.subjectKeywords: Irreducible trinomials; Mersenne numbers; Primitive trinomials
dc.titleA Primitive trinomial of degree 6972593
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume74
dc.date.issued2004
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.ariespublicationu4105084xPUB126
local.type.statusPublished Version
local.contributor.affiliationBrent, Richard, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationLarvala, Samuli, Helsinki University of Technology
local.contributor.affiliationZimmermann, Paul, Institut National de Recherche en Informatique et en Automatique (INRIA)
local.description.embargo2037-12-31
local.bibliographicCitation.issue250
local.bibliographicCitation.startpage1001
local.bibliographicCitation.lastpage1002
local.identifier.doi10.1090/S0025-5718-04-01673-4
dc.date.updated2015-12-08T10:00:51Z
local.identifier.scopusID2-s2.0-14944342404
CollectionsANU Research Publications

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