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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

Wikidata facts

Named after
Leonhard Euler
Image
EulerPhi.svg
Show 4 more facts
Commons category
Totient function
discoverer or inventor
Leonhard Euler
maintained by WikiProject
WikiProject Mathematics
Sources (3)

via Wikidata · CC0

~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.