Prime Series 2: The Intuition Behind The Infinitude of Prime Numbers

Note: This is the third part of the Prime Number Series

  1. Part I: Introduction to Prime Numbers
  2. Part III: Formal Proof of the Infinitude of Prime Numbers

In Introduction to Prime Numbers, we conjectured that the number of prime numbers is decreasing as the counting numbers increase. In this post, we discuss intuitively that there is no greatest prime, or that there are infinitely many prime numbers.

Before proceeding with our discussion, it is noteworthy to remember that a number can either be prime or composite. We also know that composite numbers are product of primes.

Fragment of the original "Elements" by Euclid (via Wikimedia).

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