Math & Numbers
Exact BigInt modular arithmetic for values up to 10¹⁸: (a ± b) mod m, (a × b) mod m, a⁻¹ mod m via extended Euclid, and aᵇ mod m via fast exponentiation.
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/modulo-arithmetic-converter' \
-H 'Content-Type: application/json' \
-d '{"operation":"power","a":"17","b":"5","m":"13"}'Send a POST request with your inputs as JSON. File parameters require a separate upload first.
POST https://api.elysiatools.com/en/api/tools/modulo-arithmetic-converter| Name | Type | Required | Description |
|---|---|---|---|
| operation | select | Yes | — |
| a | text | Yes | First operand (the base in power mode, the value being inverted in inverse mode). |
| b | text | No | Second operand — the exponent in power mode; unused in inverse mode. |
| m | text | Yes | Modulus, m ≥ 2. Results are reduced to the canonical range [0, m−1]. |
Text result
{
"result": "Processed text content",
"error": "Error message (optional)",
"message": "Notification message (optional)",
"metadata": {
"key": "value"
}
}Add this tool to your Model Context Protocol server so AI agents can list and call it.
Add this block to your MCP client configuration:
{
"mcpServers": {
"elysiatools-modulo-arithmetic-converter": {
"name": "modulo-arithmetic-converter",
"description": "Exact BigInt modular arithmetic for values up to 10¹⁸: (a ± b) mod m, (a × b) mod m, a⁻¹ mod m via extended Euclid, and aᵇ mod m via fast exponentiation.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=modulo-arithmetic-converter",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Invoke the tool by its id, passing arguments built from its parameters:
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "modulo-arithmetic-converter",
"arguments": {
"operation": "power",
"a": "17",
"b": "5",
"m": "13"
}
}
}Questions or issues? Contact [email protected]