A Proof of the Infinitude of Prime Numbers

  1. Md. Shouvik Iqbal
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Abstract

This paper presents a new proof of the infinitude of prime numbers, also known commonly as "Euclid's theorem." Grounded in fundamental Set theory, the proof uses the method of contradiction to demonstrate the absurdity of assuming the set of all prime numbers to be finite.

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  1. Version published to 10.20944/preprints202406.1296.v2
  2. Version published to 10.20944/preprints202406.1296.v1