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The primes according to Euclid Booker, Andrew
Description
In Book IX of the Elements, Euclid recorded a constructive proof that there are infinitely many prime numbers. It remains a model of elegant mathematical reasoning. However, some basic follow-up questions remain unanswered, such as: If we start from nothing and apply Euclid's construction in all possible ways, does every prime number eventually turn up I will explain how the set of all possible instances of Euclid's construction has a natural directed graph structure, before saying some (interesting) things about the graph.
Item Metadata
Title |
The primes according to Euclid
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-05-13T09:00
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Description |
In Book IX of the Elements, Euclid recorded a constructive proof that there are infinitely many prime numbers. It remains a model of elegant mathematical reasoning. However, some basic follow-up questions remain unanswered, such as: If we start from nothing and apply Euclid's construction in all possible ways, does every prime number eventually turn up I will explain how the set of all possible instances of Euclid's construction has a natural directed graph structure, before saying some (interesting) things about the graph.
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Extent |
52.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Bristol
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Series | |
Date Available |
2019-03-13
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0376829
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International