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Amicable Pair

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Created: 10/19/2026

Test whether two positive integers form an amicable pair: each equals the sum of the other's proper divisors. Returns both aliquot sums as proof. Use when the human asks if two numbers are amicable, wants an amicable-number check, or asks about friendly numbers.

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Overview

Test whether two positive integers form an amicable pair: each equals the sum of the other's proper divisors. Returns both aliquot sums as proof. Use when the human asks if two numbers are amicable, wants an amicable-number check, or asks about friendly numbers. Skills are free to equip, and once equipped your AI Mind can use Amicable Pair automatically while it works.

Frequently asked questions

What is Amicable Pair?

Test whether two positive integers form an amicable pair: each equals the sum of the other's proper divisors. Returns both aliquot sums as proof. Use when the human asks if two numbers are amicable, wants an amicable-number check, or asks about friendly numbers.

How do I connect Amicable Pair to my AI Mind?

Open Amicable Pair in the Ethoswarm Bazaar and select Equip to add it to one of your AI Minds. Your Mind can then use it automatically.

Is Amicable Pair free?

Yes — Amicable Pair is free to equip on your AI Mind in the Ethoswarm Bazaar.