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Connect Pell Equation Solver to ChatGPT, Claude and Gemini

Set it up once and it works in ChatGPT, Claude, Cursor, and any other client you love. It all runs safely in the background, so you can relax and focus on what really matters. Solve complex quadratic Diophantine equations instantly.

Ask AI about this Connector

Developed, maintained, and hosted by Vinkius.

MCP VERIFIED · PRODUCTION READY · VINKIUS GUARANTEED

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Works with modern AI clients that support MCP, including ChatGPT, Claude, Cursor, and more.

ChatGPTClaudeCursorPerplexityGeminiMicrosoft CopilotRaycastMeta AI

Your AI does the work. We keep it safe and sound.

No other AI tool gives you this. Your workflow runs in the client you already love, your account stays protected, and you decide what the agent can and cannot do. It is the whole reason to make the switch.

Each Connector lives inside our infrastructure, the same place where your workflow runs. The three things below are already part of it, working quietly in the background so you never have to think about them. Nothing to add, nothing to set up, nothing to worry about.

A futuristic MCP client docking bay
V8 Isolate01

Each Connector runs inside its own sealed environment.

Each Connector runs inside its own sealed V8 runtime — no access to your files, your system, or other servers. A Connector never sees past its own request.

Kill Switch02

One switch stops every agent. Instantly.

One action deactivates every Connector, revokes every token, and ends every session at once. AI Governance keeps the record.

FinOps per User03

Spending limits that pause instead of surprise.

Every user keeps their own connections and credentials, isolated from everyone else. Anything that would cross your spending limit is held for your approval, not billed.

Three controls, built into the layer your AI connects through.

Curated set · 4 capabilities

We ship only the actions that matter.

Capability set01 / 01

01-04

4 capabilities in this set.

Part of 4 available through Pell Equation Solver.

  1. 01

    Find fundamental solution

    This capability identifies the smallest positive integer pair (x, y) that satisfies your equation for a specific D and N.

  2. 02

    Generate solution family

    It uses a known fundamental solution to produce a sequence of subsequent solutions via recurrence.

  3. 03

    Search solutions in range

    This capability finds all integer solutions that fall within a numerical boundary you define.

  4. 04

    Verify solution

    It checks whether a specific coordinate pair correctly satisfies the given equation.

Real work

What teams actually run

01

Number Theory Research

Use the agent to quickly find fundamental solutions for various D and N values.

02

Equation Verification

Check if a specific pair of integers satisfies a quadratic Diophantine equation.

03

Sequence Expansion

Generate a list of subsequent solutions once you have the first one.

04

Constraint-Based Searching

Find all solutions that exist within a specific range of integers.

One connector, every AI

Pell Equation Solver works with the most popular AI clients.

These are the most popular clients, each with a step-by-step guide: one link, set up once, with governance and visibility built in. And because everything runs on the MCP standard, the same connection also works in any other compatible client — nothing to rebuild.

ClaudeClaudeChatGPTChatGPTGeminiGeminiPerplexityPerplexityGrokGrokMicrosoft CopilotMicrosoft CopilotCursorCursorVS CodeVS CodeWindsurfWindsurfJetBrainsJetBrainsClineClineLangChainLangChainVercel AI SDKVercel AI SDKLovableLovableZ.aiZ.aiRaycastRaycastQwen CodeQwen CodeKimi CodeKimi CodeLe ChatLe Chat

Building your own app? The connector is yours to use.

You don't need a client to put Pell Equation Solver to work: the same hosted connection plugs into your own applications and agent code, with the same governance on every request. Build with it, chat with it — one connection for both.

Observed, not estimated

1168ms average. Fast in production.

Pell Equation Solver is checked daily against the live service.

Daily averagePeak 1370ms
Oct 15Today
Fastest day
1146ms
Slowest day
1370ms
14-day trend
Improving-16%

Connect your client

One URL. Every client.

Activate the Connector, copy your link, and paste it into the client you already use. 4 capabilities arrive ready to run.

Preview access · not provider authentication

The vk_preview_* token belongs to Vinkius preview infrastructure. It lets Claude discover and display the capabilities of Pell Equation Solver, so you can see the experience inside your AI.

It does not authenticate your account with Pell Equation Solver. Actions requiring credentials or live account data may not run until you activate the Connector and authorize the service.

Pell Equation Solver Connector

You're all set. Choose your MCP client and follow the setup instructions.

Connector linkhttps://edge.vinkius.com/vk_preview_nky1vnGjvBeQmNJKKwf4mqjUQzTh2SW0Voe2EbJc/mcp

Claude Desktop

Follow the steps below to connect in seconds.

  1. 1In Claude Desktop, open Settings → Connectors.
  2. 2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
  3. 3Click Add and start a new chat — Pell Equation Solver capabilities are ready to use.
Configuration · claude_desktop_config.jsonCopy
{
  "mcpServers": {
    "pell-equation-solver-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_nky1vnGjvBeQmNJKKwf4mqjUQzTh2SW0Voe2EbJc/mcp"
    }
  }
}
  • Claude
  • ChatGPT
  • Cursor
  • VS Code
  • Windsurf
  • Claude Code
  • JetBrains
  • Cline

Step-by-step instructions for each client are in the guide. How to connect

Guided setup for Claude? Set up Pell Equation Solver in Claude and other AIs

See all the AI clients this connector works with ↑

Who it's for

Built for the work Pell Equation Solver owners hand off.

This MCP is designed for anyone working in computational mathematics or number theory.

  • 01

    Mathematicians

    Hand off complex Diophantine equation solving to your agent.

  • 02

    Computer Science Students

    Use the capability to verify homework or explore number theory properties.

  • 03

    Algorithm Researchers

    Integrate these solving capabilities into larger mathematical workflows.

FAQ

Questions Pell Equation Solver owners ask.

  • 01

    What kind of equations can this MCP solve?

    It solves quadratic Diophantine equations specifically in the form x² - Dy² = N.

  • 02

    How do I find the first solution for an equation?

    You can ask your agent to use the find_fundamental_solution capability for your specific D and N values.

  • 03

    Can I find multiple solutions at once?

    Yes, you can use the search_solutions_in_range capability to find all solutions within a specific boundary.

  • 04

    Is it possible to generate a list of solutions?

    Yes, the generate_solution_family capability uses a fundamental solution to create a sequence of subsequent solutions.

  • 05

    How do I check if my answer is correct?

    Use the verify_solution capability to confirm if a coordinate pair satisfies the equation.

  • 06

    What is a Pell equation?

    A Pell equation is a quadratic Diophantine equation of the form x² - Dy² = N, where D is a non-square positive integer.

  • 07

    How do I find the first solution?

    You can use the find_fundamental_solution capability to identify the smallest positive integer pair (x, y) for your specific D and N values.

  • 08

    Can I generate more solutions after finding the first one?

    Yes, once you have a fundamental solution, you can use generate_solution_family to produce a sequence of subsequent solutions using recurrence relations.

Explore

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Connect Pell Equation Solver to Claude, Cursor, ChatGPT & more