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Analyze Prime Numbers

Category: General  ·  Sub-category: general-misc  ·  Last updated:
Analyze prime numbers using primality tests, factorization algorithms, prime distribution analysis, and sieve methods. Covers trial division, Miller-Rabin, Sieve of Eratosthenes, and the Prime Number Theorem. Use when determining whether an integer is prime or composite, finding prime factorizations, counting or listing primes up to a bound, or investigating prime properties within a number-theoretic proof or computation.

About this skill (catalog notes)

Analyze Prime Numbers includes at least one code block. At roughly 1,790 words the SKILL.md is on the longer end of the catalog distribution.

Source
pjt222.github.io/agent-almanac
License
MIT
Original author
pjt222
Indexed lastmod
Catalog position
General · general-misc
Indexed related skills
10

How Analyze Prime Numbers fits the catalog

Analyze Prime Numbers sits in the General category under the general-misc sub-topic in the ClaudSkills catalog. There are 10 related skills indexed alongside it; comparing a few before installing usually reveals which fits your workflow best.

These notes are auto-generated from features detected in the SKILL.md file and from this catalog's structure — they aren't part of the source repository.

From the source SKILL.md

Analyze prime numbers by selecting and applying the appropriate algorithm for the task at hand: primality testing, integer factorization, or prime distribution analysis. Verify results computationally and relate findings to the Prime Number Theorem.

What this skill does

Analyze Prime Numbers is a community-contributed Claude Code skill in the general-misc sub-category. It ships as a SKILL.md file that Claude Code auto-discovers under ~/.claude/skills/analyze-prime-numbers/ and loads when your prompt matches the skill's trigger.

When to invoke it: Use when determining whether an integer is prime or composite, finding prime factorizations, counting or listing primes up to a bound, or investigating prime properties within a number-theoretic proof or computation.

Who uses this skill

The Analyze Prime Numbers Claude Code skill is built for Claude Code users and developers across all disciplines looking for general-purpose AI assistance. It's part of ClaudSkills (also referred to as Claude Skills or Claude Code Skills) — the open community-curated registry of 119,000+ SKILL.md files for Anthropic's Claude Code agent and the wider Claude ecosystem (Claude API, Claude Agent SDK).

How to install

Free

Manual install (2 steps)

mkdir -p ~/.claude/skills/analyze-prime-numbers
curl -L https://claudskills.com/skills/analyze-prime-numbers/SKILL.md \
  -o ~/.claude/skills/analyze-prime-numbers/SKILL.md

Or just download SKILL.md directly and drop it into ~/.claude/skills/analyze-prime-numbers/. Claude Code auto-discovers it on next session.

Skills live at ~/.claude/skills/analyze-prime-numbers/SKILL.md on macOS/Linux, or %USERPROFILE%\.claude\skills\analyze-prime-numbers\SKILL.md on Windows. See the full install guide for step-by-step instructions.

Telegram

📱 Install from your phone or desktop Telegram

Open @claudskills_bot on Telegram, tap Open Desktop App, and the desktop app installs this skill for you. Or share the bot link with a colleague — they get the same one-tap install. Learn more →

Pro

One-click install via the desktop app

The ClaudSkills desktop app installs any skill directly into ~/.claude/skills/ with one click — no terminal required. Pro starts at $9/mo or $149 lifetime.

Pro

For the full experience including quality scoring and one-click install features for each skill — upgrade to Pro.

Frequently asked questions

How do I install the Analyze Prime Numbers Claude Code skill?
Install via the ClaudSkills desktop app (one click) or copy SKILL.md from the source repository to ~/.claude/skills/analyze-prime-numbers/SKILL.md and restart Claude Code. Both flows are detailed at claudskills.com/install/.
What does the Analyze Prime Numbers skill do?
Analyze prime numbers using primality tests, factorization algorithms, prime distribution analysis, and sieve methods. Covers trial division, Miller-Rabin, Sieve of Eratosthenes, and the Prime Number Theorem. Use when determining whether an integer is prime or composite, finding prime factorizations, counting or listing primes up to a bound, or investigating prime properties within a number-theoretic proof or computation.
Is this skill free to install?
Yes. ClaudSkills is an open registry — every skill keeps its source repository's license, and manual install via copy is free. ClaudSkills Pro ($9/mo, $79/yr, or $149 one-time) adds one-click install via the desktop app and a multi-signal Quality Score.
When should I use the Analyze Prime Numbers skill?
Use Analyze Prime Numbers when your Claude Code task falls under the General category — specifically in the general misc area. Claude Code auto-discovers installed skills and invokes the right one based on the task description, so you can also ask Claude directly (e.g. "use Analyze Prime Numbers" or describe the task and let Claude pick). Browse related skills at /category/general/.
What is a Claude Code skill and how does the Analyze Prime Numbers skill fit in?
A Claude Code skill is a SKILL.md file that lives under ~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Analyze Prime Numbers is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the General category. Learn more at /learn/what-is-a-claude-skill/.

Attribution & license

Cite this skill

If you reference this skill in a blog post, paper, or documentation, you can cite it as:

APA
pjt222. (2026). Analyze Prime Numbers [Claude Code skill]. ClaudSkills. https://claudskills.com/skills/analyze-prime-numbers/
BibTeX
@misc{analyze-prime-numbers-2026,
  author    = {pjt222},
  title     = {Analyze Prime Numbers [Claude Code skill]},
  year      = {2026},
  publisher = {ClaudSkills},
  url       = {https://claudskills.com/skills/analyze-prime-numbers/}
}

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