Two Short Proofs of the Infinitude of Primes

We present two new proofs of the infinitude of primes. The first proof uses the basic idea of Furstenberg's celebrated topological proof but without using topology. The second proof uses probability theory.

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Bibliographic Details
Published in:The College mathematics journal 2017-05, Vol.48 (3), p.214-216
Main Author: Northshield, Sam
Format: Article
Language:English
Subjects:
CLASSROOM CAPSULES
Classroom techniques
Educational equipment
Integers
Mathematical theorems
Numbers
Probability
Probability theory
Proof theory
Theorems
Topology
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Description
Summary:We present two new proofs of the infinitude of primes. The first proof uses the basic idea of Furstenberg's celebrated topological proof but without using topology. The second proof uses probability theory.
ISSN:0746-8342
1931-1346
DOI:10.4169/college.math.j.48.3.214