Study of Totient Ratios and the Diminishing Return of Ever Larger Primes

totient ratio primorial prime divisor

This chart plots the products of distinct prime divisors. The horizontal axis represents the value of the smallest prime in the product, while the vertical axis represents the totient ratio, φ(r)/r. The graph was developed in the Rucami Argam Sketchbook in January 2008. Here is an expanded graph showing larger primes 2 ≤ p ≤ 61.

This page last modified Tuesday 3 April 2012.