On the Number of Magnitudes Less than a Given Prime

This post is mainly a test of LaTeX, a math typesetting language, and its built-in functionality in WordPress. As a bonus, there is actually a paper entitled “On the Number of Primes Less than a Given Magnitude” (Riemann, 1859 [pdf]), which, unsurprisingly, is much more difficult than this.

Let p be a prime number. Then n, the number of magnitudes {x} less than or equal to a given prime, is equal to

n = \displaystyle\sum_{x \leq p} 1 = \infty

because there are infinitely many real numbers less than or equal to any prime.