A Table of values of π( x)įor the smaller values of x in this table (say to 10,000,000,000) In this document we will study the function π( x), the prime number theorem (which quantifies this trend) and several classical approximation to π( x). Irregular, there is a definite trend to its values. Now back up and view a larger portion of the graph of π( x). Sub-section.) Look at the following graph and notice how irregular the Π( x) = the number of primes less than or equal to x. Primes are there less than x?" has been asked so frequently that its π( x) is the number of primes less than or equal to x The second question isĭiscussed on the page " How Big of an Infinity?." 1.1. This document will focus on the first question.
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