A Connection between Furstenberg's and Euclid's Proofs of the Infinitude of Primes

作者:Carlson Nathan A*
来源:American Mathematical Monthly, 2014, 121(5): 444-444.
DOI:10.4169/amer.math.monthly.121.05.444

摘要

In 1955, Furstenberg gave a curious topological proof of the infinitude of primes. Cass and Wildenberg, as well as Mercer, dispensed with the topological language in this proof to uncover the essential number theory. In this note, we observe that Furstenberg's proof has an important and intriguing connection to Euclid's well-known original proof.

  • 出版日期2014-5

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