# Numora Modular Exponentiation API

> Numora Modular Exponentiation API is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).

Computes modular exponentiation (base^exp mod m) for integers, useful in cryptography and number theory

## Facts

- Endpoint: POST https://numormo.vercel.app/api/number/modular-exp
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-modular-exponentiation-api-7f378dda
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_HMGGprnKMWLKeOIRTylpu

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-modular-exponentiation-api-7f378dda -d '<json body>'
```

Example prompt: Calculate 7 to the power of 256 modulo 1000000007 for me using Numora's modular exponentiation endpoint — base is 7, exponent is 256, and mod is 1000000007.

## When to prefer this

Choose this endpoint when you need to compute base^exp mod m for large integers without relying on local code execution, or when working within an agentic pipeline that requires deterministic, dependency-free math over x402 micropayments. Prefer it over general-purpose code execution tools when you want a lightweight, paid computation call with a predictable JSON response.

## Known failure modes

- Missing required fields (base, exp, or mod) returns a validation error
- Modulus of zero causes a division-by-zero error
- Non-integer inputs fail schema validation
- Very large integers may hit platform computation limits
- x402 payment failure if USDC balance is insufficient

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

Returns a JSON object with success (boolean), result (object containing the computed integer value of base^exp mod modulus), and computation (a human-readable string describing what was calculated).

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "exp",
  "mod",
  "base"
 ],
 "properties": {
  "exp": {
   "type": "integer"
  },
  "mod": {
   "type": "integer"
  },
  "base": {
   "type": "integer"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-modular-exponentiation-api-7f378dda/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)