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FactorFib

A real number-theory quiz: primes, factorization, Fibonacci, GCD/LCM and perfect numbers

Unify Dynamics LLC

Tools7read-only
Sign-inNoneno account, no key
Data keptNoneprocessed in memory
PriceFreeoptional Pro limits
StatusLiveMCP + REST
Works withMCP · RESTany agent

Try asking

Real questions, and the tools your agent calls to answer them.

Let's play a number theory quiz
Tools called
new_session
Is 91 prime?
Tools called
submit_answer
What's the prime factorization of 360?
Tools called
new_round
submit_answer
Give me a hint
Tools called
get_hint
What's my score and streak?
Tools called
session_stats
What topics can you quiz me on?
Tools called
topic_info
How does scoring work?
Tools called
rules_info

About

FactorFib is a fully local, playable number-theory quiz game. new_session starts a session with a chosen difficulty (easy/medium/hard) and optional topic subset from is_prime, factorize, next_fibonacci, gcd_lcm, and perfect_number, generating its first challenge. submit_answer grades your answer against the real computed result and updates score, streak, best streak and accuracy; get_hint gives a real escalating hint at a points cost; new_round moves on. session_stats reports your tally and topic_info/rules_info explain the topics and exact scoring formula. Stateless -- no server-side session storage, the caller passes state between calls. Keyless; fully local; zero upstream calls; nothing stored.

Sources: Original, hand-authored content. Fully local, zero upstream calls.

Privacy

The publisher, Unify Dynamics LLC, states that tool inputs are processed in memory and not retained.

Data not collectedNo account, no profile, no stored prompts or results.

What it can do

7 tools, grouped by job. Every one is read-only or compute-only.

OpenAPI
Play4 tools
  • New sessionStart a new FactorFib session (resets score/streak) and generate its first challenge.
  • New roundGenerate a fresh challenge (discarding any unanswered current one), keeping score/streak intact.
  • Submit answerSubmit an answer to the current challenge; grades it against the real computed answer, updates score/streak, and reports the explanation.
  • Get hintGet a real, escalating hint for the current challenge (never the final answer).
Info3 tools
  • Session statsReport score, streak, best streak, and exact accuracy percentage for this session.
  • Topic infoList the five challenge topics and what each one tests.
  • Rules infoExplain FactorFib's rules, topics, difficulty scaling, and exact scoring formula.

Information

PublisherUnify Dynamics LLC
CategoryGames & entertainment
LanguagesEnglish
Built forGlobal
CompatibilityAny MCP client · any agent · REST
Version0.1.0
MCP endpointhttps://factorfib.connectorbay.com/mcp
REST APIopenapi.json
SupportGet help · Status
CountryWorldwide

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Documentation

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What FactorFib is for

A fully local, PLAYABLE number-theory quiz game — genuine primality checks, prime factorization, Fibonacci-sequence challenges, GCD/LCM problems, and perfect-number checks, every one computed with real number theory rather than a lookup table.

What it does

new_session starts a session at a chosen difficulty (and optional topic subset) and generates its first challenge. Five topics: is_prime (real trial division up to sqrt(n)), factorize (the full prime factorization, with repetition), next_fibonacci (predict the next real Fibonacci term), gcd_lcm (the real Euclidean algorithm), and perfect_number (is the number equal to the sum of its own proper divisors?). submit_answer grades your answer against the actually-computed correct value, awards points (minus a per-hint penalty computed exactly), and tracks score, streak, best streak, and accuracy. get_hint gives a real, escalating hint — a technique nudge first, then a concrete partial fact about the current number — never the final answer. new_round moves on to a fresh challenge. session_stats and topic_info/rules_info round it out.

How state works

There is no server-side session storage. Every call takes the full session state (the exact object returned by the previous call) and returns a new one. The current challenge's real answer necessarily lives inside state — don't print the raw state to the player, only the prompt field.

What it is not

Not a static trivia list — every number, factorization, Fibonacci term, GCD/LCM, and perfect-number verdict is computed live by real algorithms (trial division, the Euclidean algorithm, iterative Fibonacci generation), so difficulty genuinely scales with number size rather than picking from a fixed question bank.

Privacy policy

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FactorFib — Privacy Policy

Effective 28 September 2026. Unify Dynamics LLC ("we", "us"), Menlo Park, California.

What FactorFib is. FactorFib is a connector (an MCP server and REST API) that AI assistants and personal agents call on your behalf to run a local number-theory quiz game — generating challenges, checking answers, and computing hints and scores.

What we receive. The arguments of each tool call — the session state you (via your assistant) pass back on every call, your submitted answers, and the technical headers needed to serve the request (an IP address or a client identifier supplied by the assistant, and a Pro API key if you have one) — plus standard server logs.

Everything is computed locally and nothing is stored. FactorFib has no database and no server-side session storage of any kind. The entire session state — including the current challenge's answer — lives only in your conversation with your assistant, which passes it back to us on each call and receives an updated copy in the response. We do not persist it, log it, or use it for anything beyond computing that one response. No request is forwarded to any third party — there is no upstream call at all.

What we do not receive or store. We do not receive your name, your conversation with the assistant beyond the bare session-state argument, or anything else about you. Each request is answered independently. Rate-limit counters (a client identifier and timestamps) are held in memory for at most 24 hours. Hosting-provider access logs (IP addresses and request paths, not request bodies) are retained for up to 30 days for security and abuse prevention.

Sub-processors. None — computation is entirely local to this server. Hosting: Vercel (United States regions).

Legal bases and your rights. Our processing is necessary to provide the service you request through your assistant. Because we store no personal data beyond short-lived logs, requests to access, correct or delete personal data are usually satisfied automatically; you can still contact agent@connectorbay.com and we will respond within 30 days. We do not sell or share personal information and do not use your data to train models.

Children. FactorFib is a general-audience service operated by the adult using the assistant.

Changes. We will post changes here with a new effective date.

Terms of service

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FactorFib — Terms of Service

Effective 28 September 2026. These terms govern use of the FactorFib connector ("the Service") operated by Unify Dynamics LLC ("we", "us").

  1. The Service. FactorFib is a stateless, playable number-theory quiz game engine, accessed through an AI assistant or directly over MCP or HTTP. There is no server-side session storage: the caller holds and passes session state between calls.
  2. Entertainment only. FactorFib is provided for entertainment and casual educational purposes. Nothing in it constitutes professional or academic advice.
  3. Acceptable use. Automated use within the published rate limits is welcome. Do not use the Service to disrupt, overload, or reverse-engineer the underlying infrastructure.
  4. Availability. The Service is provided "as is" without warranty. We may change, limit, or discontinue it at any time.
  5. Data. Our Privacy Policy describes what we process. In short: session state is computed statelessly from what you send us and nothing is stored.
  6. Pro keys. Optional Pro API keys are issued at our discretion, are personal to the holder, and may be revoked for abuse.
  7. Liability. To the fullest extent permitted by law, Unify Dynamics LLC is not liable for any loss, injury, or damage arising from use of, or reliance on, the Service. Our total liability is limited to US $100.
  8. Governing law. California law; venue in San Mateo County, California.
  9. Contact. Unify Dynamics LLC · agent@connectorbay.com · https://connectorbay.com/factorfib

FactorFib support

Email agent@connectorbay.com. We answer within two business days.

When you report a problem, include the question you asked your agent, roughly when, and which agent you used (for example Claude, ChatGPT or Gemini). Never send us passwords, account numbers or ID numbers. FactorFib never asks for them.

Get FactorFib

Free · No sign-in · Read-only

Streamable HTTP, stateless, no authentication. Paste the endpoint into any MCP-capable agent.

https://factorfib.connectorbay.com/mcp
{
  "mcpServers": {
    "factorfib": {
      "type": "http",
      "url": "https://factorfib.connectorbay.com/mcp"
    }
  }
}