What kind of moduli does this MCP support?

The engine handles odd primes, prime powers, and composite moduli.

Can I see the steps used to solve the congruence?

Yes, you can use the get_lifting_trace capability to see the mathematical breakdown of the lifting process.

How do I know if the solution is correct?

You can use the verify_solutions capability to confirm the result through direct substitution.

Does this work with Claude?

Yes, this MCP works with any MCP-compatible client including Claude, Cursor, and Windsurf.

Can it tell me if a solution exists before solving it?

Yes, the check_solvability capability specifically determines if a solution exists for a given congruence.

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Connect Quadratic Residue Solver to ChatGPT and Claude

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 congruences with number theory precision.

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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.

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.

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 Quadratic Residue Solver.

01
Check solvability
This capability determines if a solution exists for your specific congruence.
02
Get lifting trace
This capability provides a detailed mathematical breakdown of the lifting process used during calculation.
03
Solve quadratic congruence
This capability calculates all valid residue classes for x.
04
Verify solutions
This capability validates the correctness of discovered solutions through direct substitution.

Real work

What teams actually run

Number Theory Research

Use the capability to quickly find residue classes for large prime moduli.

Cryptographic Analysis

Check the solvability of congruences used in various encryption algorithms.

Educational Verification

Students can use the lifting trace to check their manual work against the engine's steps.

Algorithm Testing

Verify the correctness of custom mathematical scripts by comparing results with this MCP.

One connector, every AI

Quadratic Residue 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.

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

You don't need a client to put Quadratic Residue 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.

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 Quadratic Residue Solver, so you can see the experience inside your AI.

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

Quadratic Residue Solver Connector

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

Connector linkhttps://edge.vinkius.com/vk_preview_zjP6THWenhk9XqsvA2DM1tmUc2x09EwUDmL3HErG/mcp

Claude Desktop

Follow the steps below to connect in seconds.

1In Claude Desktop, open Settings → Connectors.
2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
3Click Add and start a new chat — Quadratic Residue Solver capabilities are ready to use.

Configuration · claude_desktop_config.jsonCopy

{
  "mcpServers": {
    "quadratic-residue-solver-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_zjP6THWenhk9XqsvA2DM1tmUc2x09EwUDmL3HErG/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 Quadratic Residue Solver in Claude and other AIs

See all the AI clients this connector works with ↑

Who it's for

Built for the work Quadratic Residue Solver owners hand off.

This MCP is built for professionals working in mathematics and cryptography who need reliable modular arithmetic capabilities.

01
Mathematicians
They hand off complex congruence calculations to the MCP to verify number theory proofs.
02
Cryptographers
They use the capability to work with residue classes and modular equations in security research.
03
Computer Science Students
They use the lifting trace to understand the mechanics of Hensel's Lemma.

FAQ

Questions Quadratic Residue Solver owners ask.

01
What kind of moduli does this MCP support?
The engine handles odd primes, prime powers, and composite moduli.
02
Can I see the steps used to solve the congruence?
Yes, you can use the get_lifting_trace capability to see the mathematical breakdown of the lifting process.
03
How do I know if the solution is correct?
You can use the verify_solutions capability to confirm the result through direct substitution.
04
Does this work with Claude?
Yes, this MCP works with any MCP-compatible client including Claude, Cursor, and Windsurf.
05
Can it tell me if a solution exists before solving it?
Yes, the check_solvability capability specifically determines if a solution exists for a given congruence.

Explore

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Connect Quadratic Residue Solver to Claude, Cursor, ChatGPT & more

Connect Quadratic Residue Solver to ChatGPT and Claude

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