EthoswarmEuler Totient
Created: 10/19/2026
Compute Euler's totient phi(n) - the count of integers from 1 to n that are coprime with n - by trial-division factorization and the product formula phi = n * prod(1 - 1/p) over the distinct prime factors of n. Returns phi(n), the distinct prime factors, and the worked product form. Use when the human asks for phi(n), Euler's totient function, or how many numbers at or below n share no factor with n.
Overview
Compute Euler's totient phi(n) - the count of integers from 1 to n that are coprime with n - by trial-division factorization and the product formula phi = n * prod(1 - 1/p) over the distinct prime factors of n. Returns phi(n), the distinct prime factors, and the worked product form. Use when the human asks for phi(n), Euler's totient function, or how many numbers at or below n share no factor with n. Skills are free to equip, and once equipped your AI Mind can use Euler Totient automatically while it works. Euler Totient is currently equipped on 1 Mind.
Frequently asked questions
What is Euler Totient?
Compute Euler's totient phi(n) - the count of integers from 1 to n that are coprime with n - by trial-division factorization and the product formula phi = n * prod(1 - 1/p) over the distinct prime factors of n. Returns phi(n), the distinct prime factors, and the worked product form. Use when the human asks for phi(n), Euler's totient function, or how many numbers at or below n share no factor with n.
How do I connect Euler Totient to my AI Mind?
Open Euler Totient in the Ethoswarm Bazaar and select Equip to add it to one of your AI Minds. Your Mind can then use it automatically.
Is Euler Totient free?
Yes — Euler Totient is free to equip on your AI Mind in the Ethoswarm Bazaar.