ix-number-theory

Generate primes, test primality, and compute modular arithmetic operations.

Updated Mar 12, 2026

Search Tags:#number theory #prime numbers #primality testing #modular arithmetic #cryptographic algorithms

Ready to run

npx skills add https://github.com/GuitarAlchemist/ix --skill ix-number-theory

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: ix-number-theory
Source: https://github.com/GuitarAlchemist/ix/tree/main/.claude/skills/ix-number-theory
Command: npx skills add https://github.com/GuitarAlchemist/ix --skill ix-number-theory

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill addresses the computational needs in number theory, including prime generation, primality testing, modular arithmetic, and gap analysis.

Core Features & Use Cases

Prime Sieving: Efficiently generate all prime numbers up to a specified limit.
Primality Testing: Perform deterministic and probabilistic primality tests.
Modular Arithmetic: Compute modular exponentiation, GCD, LCM, and inverses.
Prime Gaps: Analyze the distribution of prime numbers and gaps between them.
Use Case: A developer can use this Skill to optimize cryptographic algorithms or for educational purposes in computer science courses.

Quick Start

Use the ix-number-theory skill to find all prime numbers up to 100,000.

Frequently Asked Questions about ix-number-theory

High-intent search queries and answers about installing and using this skill.

FAQPage Schema

How do I perform primality testing for cryptographic algorithms?▼

Primality testing for cryptographic algorithms is performed using deterministic and probabilistic algorithms to verify candidates. This Skill executes these computations efficiently for secure key generation and educational analysis.

What is the best way to generate prime numbers up to a large limit?▼

Generating prime numbers up to a large limit is best handled through prime sieving. This Skill efficiently computes all primes up to a specified limit for cryptographic and educational use cases.

How do I compute modular arithmetic operations like inverses and GCD?▼

Computing modular arithmetic operations like inverses and GCD involves calculating modular exponentiation, LCM, and modular inverses. This Skill handles these computations for mathematical and cryptographic requirements.

Does this modular arithmetic approach work for educational computer science courses?▼

Yes, this modular arithmetic approach works for educational computer science courses. It performs number theory computations including prime generation and gap analysis, optimized for educational applications.

Can I analyze prime gaps and distribution for a specified limit?▼

Yes, you can analyze prime gaps and distribution for a specified limit. This Skill performs gap analysis to examine the distribution of prime numbers and the intervals between them.