The Infinitude of the Primes View Full Text


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Chapter Info

DATE

2015

AUTHORS

John W. Dawson

ABSTRACT

Euclid’s proof that the prime numbers are “more than any assigned multitude” (Elements, proposition IX, 20) has long been hailed as a model of elegance and simplicity. Yet, surprisingly, it has also been misrepresented in a great many accounts: The article Hardy and Woodgold (2009) gives a detailed list of sources, including many by eminent number theorists, that either erroneously describe the structure of Euclid’s proof or make false historical claims about it. It is wise, therefore, to begin by quoting Euclid’s argument directly, as it is given in Heath’s translation (Heath 1956, vol. II, p. 412). More... »

PAGES

51-57

References to SciGraph publications

Book

TITLE

Why Prove it Again?

ISBN

978-3-319-17367-2
978-3-319-17368-9

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-17368-9_7

DOI

http://dx.doi.org/10.1007/978-3-319-17368-9_7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1029693234


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