EthoswarmModular Order
Created: 10/22/2026
Compute the multiplicative order of a modulo m: the smallest positive k with a^k = 1 (mod m), found by testing the divisors of Euler's totient phi(m) and fully verified. Use when the human asks for the order of a mod m, how powers of a cycle modulo m, or which divisor of phi(m) is the order.
Overview
Compute the multiplicative order of a modulo m: the smallest positive k with a^k = 1 (mod m), found by testing the divisors of Euler's totient phi(m) and fully verified. Use when the human asks for the order of a mod m, how powers of a cycle modulo m, or which divisor of phi(m) is the order. Skills are free to equip, and once equipped your AI Mind can use Modular Order automatically while it works. Modular Order is currently equipped on 1 Mind.
Frequently asked questions
What is Modular Order?
Compute the multiplicative order of a modulo m: the smallest positive k with a^k = 1 (mod m), found by testing the divisors of Euler's totient phi(m) and fully verified. Use when the human asks for the order of a mod m, how powers of a cycle modulo m, or which divisor of phi(m) is the order.
How do I connect Modular Order to my AI Mind?
Open Modular Order in the Ethoswarm Bazaar and select Equip to add it to one of your AI Minds. Your Mind can then use it automatically.
Is Modular Order free?
Yes — Modular Order is free to equip on your AI Mind in the Ethoswarm Bazaar.