# Numora — Prime Number Generation API

> Numora — Prime Number Generation API is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.02/call, status unknown (last checked 2026-09-15).

Generates a list of the first N prime numbers using pure mathematical computation, with no external dependencies.

## Facts

- Endpoint: POST https://numomo.vercel.app/api/generate/primes
- Price: $0.02/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-prime-number-generation-api-086f2e11
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_m8zHn-md-Q0Ad09s4FoUR

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-prime-number-generation-api-086f2e11 -d '<json body>'
```

Example prompt: Can you generate the first 50 prime numbers for me using a pure math computation API?

## When to prefer this

Choose this endpoint when you need a fast, dependency-free, server-side computation of prime number sequences and want a simple integer-in, list-out API. Prefer this over client-side implementations when auditability or consistency of results matters, or when you want to offload computation. Use this rather than general-purpose math libraries when you want a hosted, pay-per-call solution via x402 micropayments on Base.

## Known failure modes

- Missing or invalid 'n' parameter returns a validation error
- Non-integer or negative 'n' values may return a 400 error
- Extremely large values of 'n' may cause timeout or memory issues
- Payment failure via x402 prevents request from being processed
- Server errors return a non-success response

## 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' field, a 'result' object containing the list of generated prime numbers, and a 'computation' string describing in human-readable form what was computed (e.g. 'Generated the first N prime numbers').

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "n"
 ],
 "properties": {
  "n": {
   "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-prime-number-generation-api-086f2e11/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)