# Numora Mersenne Number Endpoint

> Numora Mersenne Number Endpoint 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).

Checks whether 2^exponent − 1 is a Mersenne prime and returns the result with supporting computation details

## Facts

- Endpoint: POST https://numormo.vercel.app/api/number/mersenne
- 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-mersenne-number-endpoint-3eb70aa4
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_LqaXXwSqBCpEQ8DLfHCNX

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-mersenne-number-endpoint-3eb70aa4 -d '<json body>'
```

Example prompt: Can you check whether 2^61 − 1 is a Mersenne prime using exponent 61?

## When to prefer this

Use this endpoint when you need a pure, serverless, zero-dependency computation of Mersenne primality for a specific integer exponent, especially in agent workflows that require on-demand number theory checks without setting up local math libraries. Prefer it over general-purpose CAS tools when you want a lightweight, pay-per-call API with predictable output schema.

## Known failure modes

- Missing or non-integer exponent field returns a validation error
- Very large exponents may exceed computation limits or time out
- Negative or zero exponents may be rejected as invalid input
- Payment failure via x402 micropayment protocol results in 402 response before computation occurs

## 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 a boolean success flag, a result object containing the Mersenne number (2^exponent − 1) and whether it is prime, and a human-readable computation string describing what was calculated.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "exponent"
 ],
 "properties": {
  "exponent": {
   "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-mersenne-number-endpoint-3eb70aa4/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)