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The College Mathematics Journal Volume 48, 2017 - Issue 3
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CLASSROOM CAPSULES

Partitioning the Natural Numbers to Prove the Infinitude of Primes

Arpan SadhukhanIndian Statistical Institute, Kolkata, [email protected]
Pages 217-218 | Published online: 27 Nov 2017
 
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Summary

In this note we will introduce a partition of the natural numbers and use it to give two proofs of the infinitude of primes. The first proof is a slight variant of the various known combinatorial proofs. The second is similar to Euler's proof but it makes no use of Euler's product formula.

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