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prime-numbers

Solve prime number problems in graph theory using sympy and z3.

3.9k|296|Updated Dec 23, 2025
Search Tags:#graph theory#z3#sympy#factorization#number theory#prime numbers#primality testing
One-click install
npx skills add https://github.com/parcadei/Continuous-Claude-v3 --skill prime-numbers-parcadei
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: prime-numbers
Source: https://github.com/parcadei/Continuous-Claude-v3/tree/main/.claude/skills/math/graph-number-theory/prime-numbers
Command: npx skills add https://github.com/parcadei/Continuous-Claude-v3 --skill prime-numbers-parcadei

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires sympy, z3, and includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill provides strategies and tools for tackling problems involving prime numbers within the domain of graph number theory.

Core Features & Use Cases

  • Primality Testing: Offers various algorithms like trial division, Miller-Rabin, and AKS with their respective complexities.
  • Factorization: Outlines methods for factoring numbers, from trial division to more advanced techniques like Pollard's rho and quadratic sieve.
  • Prime Distribution: Covers concepts like the Prime Number Theorem and prime gaps.
  • Theorems: Includes applications of Fermat's Little Theorem and Wilson's Theorem.
  • Use Case: When analyzing the properties of a graph where node or edge weights are related to prime numbers, this skill can help determine primality, find factors, or apply relevant number theoretic theorems.

Quick Start

Use the prime-numbers skill to find the factors of the number 12345.

Frequently Asked Questions about prime-numbers

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

FAQPage Schema
How do I test primality and factorize numbers using sympy?▼

To test primality and perform factorization using sympy, you can apply algorithms like trial division, Miller-Rabin, AKS, and Pollard's rho. This skill provides computational strategies to execute these symbolic calculations effectively.

What is the best way to apply Fermat's Little Theorem in graph number theory?▼

Applying Fermat's Little Theorem in graph number theory involves analyzing node or edge weights related to prime numbers. This skill provides strategies to apply number theoretic theorems to graph properties.

Can I use z3 for formal proofs of prime number problems?▼

Yes, you can use z3 for formal proofs of prime number problems. This skill utilizes z3 alongside sympy to provide formal proof capabilities and symbolic computation for number theoretic theorems.

Does this skill support advanced prime distribution analysis like the Prime Number Theorem?▼

Yes, this skill supports advanced prime distribution analysis including the Prime Number Theorem and prime gaps. It provides strategies and computational tools to analyze prime distribution within graph theory contexts.

How do I find the factors of a specific number like 12345?▼

To find the factors of a number like 12345, you can use the factorization methods provided by this skill, ranging from trial division to quadratic sieve. It leverages sympy for symbolic computation to output the factors.

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