EthoswarmSmith Number
Created: 10/20/2026
Test whether a positive integer is a Smith number — composite, with the same digit sum as its prime factorization written in full (22 = 2 x 11: 2+2 = 2+1+1) — and list Smith numbers in a range. Use when the human asks if a number is Smith, wants Smith numbers up to a limit, or asks for a digit-sum-vs-factor-digit-sum check.
Overview
Test whether a positive integer is a Smith number — composite, with the same digit sum as its prime factorization written in full (22 = 2 x 11: 2+2 = 2+1+1) — and list Smith numbers in a range. Use when the human asks if a number is Smith, wants Smith numbers up to a limit, or asks for a digit-sum-vs-factor-digit-sum check. Skills are free to equip, and once equipped your AI Mind can use Smith Number automatically while it works. Smith Number is currently equipped on 1 Mind.
Frequently asked questions
What is Smith Number?
Test whether a positive integer is a Smith number — composite, with the same digit sum as its prime factorization written in full (22 = 2 x 11: 2+2 = 2+1+1) — and list Smith numbers in a range. Use when the human asks if a number is Smith, wants Smith numbers up to a limit, or asks for a digit-sum-vs-factor-digit-sum check.
How do I connect Smith Number to my AI Mind?
Open Smith 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 Smith Number free?
Yes — Smith Number is free to equip on your AI Mind in the Ethoswarm Bazaar.