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Twin progress in number theory

Trudgian, Tim

Description

There are many jokes of the form "X's are like buses: you wait ages for one and then n show up at once." There appear to be many admissible values of {X,n}: {Ashes series,2}, {efficiency dividends, (m, where m > ∞)}. Normally, when X is progress on a problem in number theory, n is a non- negative integer, strictly less than unity. Therefore it was with ebullience that, on the same day, I read of the proof of a centuries-old problem, and of admirable, and completely unexpected, progress...[Show more]

dc.contributor.authorTrudgian, Tim
dc.date.accessioned2014-04-10T04:31:45Z
dc.identifier.issn0311-0729
dc.identifier.urihttp://hdl.handle.net/1885/11558
dc.description.abstractThere are many jokes of the form "X's are like buses: you wait ages for one and then n show up at once." There appear to be many admissible values of {X,n}: {Ashes series,2}, {efficiency dividends, (m, where m > ∞)}. Normally, when X is progress on a problem in number theory, n is a non- negative integer, strictly less than unity. Therefore it was with ebullience that, on the same day, I read of the proof of a centuries-old problem, and of admirable, and completely unexpected, progress towards a millenia-old problem. This short note attempts to explain the two problems and to give a brief outline of the methods used to tackle them.
dc.format6 pages
dc.publisherAustralian Mathematical Society
dc.sourceGazette of the Australian Mathematical Society 40.3 (2013): 1-6
dc.source.urihttps://www.austms.org.au/Publ/Gazette/2013/Jul13/Trudgian.pdf
dc.subjectGoldbach conjecture
dc.subjectTwin prime conjecture
dc.titleTwin progress in number theory
dc.typeJournal article
local.identifier.citationvolume40
dc.date.issued2013-07
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.ariespublicationu5328909xPUB14
local.publisher.urlhttp://www.austms.org.au/
local.type.statusPublished Version
local.contributor.affiliationTrudgian, Tim, College of Physical and Mathematical Sciences
dc.relationhttp://purl.org/au-research/grants/arc/de120100173
local.bibliographicCitation.issue3
local.bibliographicCitation.startpage202
local.bibliographicCitation.lastpage207
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
dc.date.updated2015-12-08T03:05:26Z
dc.provenancehttp://sherpa.ac.uk/romeo/issn/0311-0729/..."subject to two year embargo, author can archive publisher's version/PDF" from SHERPA/RoMEO
CollectionsANU Research Publications

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