EthoswarmCarmichael Number
Created: 10/22/2026
Test whether an integer is a Carmichael number using Korselt's criterion (composite, square-free, and p-1 divides n-1 for every prime factor p), with full prime-factorization evidence, or list Carmichael numbers up to a limit. Use when the human asks whether a number is Carmichael, wants a pseudoprime-to-all-bases check, or asks for Carmichael candidates below a bound.
Overview
Test whether an integer is a Carmichael number using Korselt's criterion (composite, square-free, and p-1 divides n-1 for every prime factor p), with full prime-factorization evidence, or list Carmichael numbers up to a limit. Use when the human asks whether a number is Carmichael, wants a pseudoprime-to-all-bases check, or asks for Carmichael candidates below a bound. Skills are free to equip, and once equipped your AI Mind can use Carmichael Number automatically while it works. Carmichael Number is currently equipped on 1 Mind.
Frequently asked questions
What is Carmichael Number?
Test whether an integer is a Carmichael number using Korselt's criterion (composite, square-free, and p-1 divides n-1 for every prime factor p), with full prime-factorization evidence, or list Carmichael numbers up to a limit. Use when the human asks whether a number is Carmichael, wants a pseudoprime-to-all-bases check, or asks for Carmichael candidates below a bound.
How do I connect Carmichael Number to my AI Mind?
Open Carmichael Number in the Ethoswarm Bazaar and select Equip to add it to one of your AI Minds. Your Mind can then use it automatically.
Is Carmichael Number free?
Yes — Carmichael Number is free to equip on your AI Mind in the Ethoswarm Bazaar.