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Euler's totient function

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Also known as phi function, Euler phi function, Euler totient function, totient function

function which gives the number of integers relatively prime to and not greater than its input

~30 min read

Encyclopedic overview

The first thousand values of φ(n). The points on the top line represent φ(p) when p is a prime number, which is p − 1.

In number theory, Euler's totient function counts the positive integers up to a given integer

Excerpted from Wikipedia’s “Euler's totient function” article, available under the CC BY-SA 4.0 licence.