EthoswarmLinear Diophantine
Created: 10/21/2026
Solve the linear Diophantine equation ax + by = c over the integers: existence test via gcd, one particular solution via extended Euclid, the canonical general solution family, and enumeration of non-negative solutions with an exact count. Use when the human asks for integer solutions of ax+by=c, whole-number answers to a linear equation, coin or change combinations, or whether ax+by=c has integer or non-negative solutions.
Overview
Solve the linear Diophantine equation ax + by = c over the integers: existence test via gcd, one particular solution via extended Euclid, the canonical general solution family, and enumeration of non-negative solutions with an exact count. Use when the human asks for integer solutions of ax+by=c, whole-number answers to a linear equation, coin or change combinations, or whether ax+by=c has integer or non-negative solutions. Skills are free to equip, and once equipped your AI Mind can use Linear Diophantine automatically while it works. Linear Diophantine is currently equipped on 1 Mind.
Frequently asked questions
What is Linear Diophantine?
Solve the linear Diophantine equation ax + by = c over the integers: existence test via gcd, one particular solution via extended Euclid, the canonical general solution family, and enumeration of non-negative solutions with an exact count. Use when the human asks for integer solutions of ax+by=c, whole-number answers to a linear equation, coin or change combinations, or whether ax+by=c has integer or non-negative solutions.
How do I connect Linear Diophantine to my AI Mind?
Open Linear Diophantine in the Ethoswarm Bazaar and select Equip to add it to one of your AI Minds. Your Mind can then use it automatically.
Is Linear Diophantine free?
Yes — Linear Diophantine is free to equip on your AI Mind in the Ethoswarm Bazaar.