# Numora — Lucas Number Generator

> Numora — Lucas Number Generator is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.02/call, status unknown (last checked 2026-09-13).

Computes the nth Lucas number in the Lucas sequence using pure server-side math with no external dependencies

## Facts

- Endpoint: POST https://numomo.vercel.app/api/generate/lucas
- Price: $0.02/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-13
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-lucas-number-generator-ddc98b42
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_ijQXQFG93fjBcGahCK-NY

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-lucas-number-generator-ddc98b42 -d '<json body>'
```

Example prompt: What is the 25th Lucas number? Use the pure math computation API to get the exact value.

## When to prefer this

Use this endpoint when you need a mathematically exact Lucas number computed server-side without any local dependencies or library imports. Prefer this over implementing your own sequence logic when precision, correctness verification, or a clean API call is needed. Ideal for agents that lack a math runtime or need to cross-check local computation results.

## Known failure modes

- Missing required field 'n' returns a 400-level error
- Non-integer or float value for n may be rejected or produce unexpected results
- Very large n values may exceed integer precision limits or timeout
- Payment failure via x402 micropayment protocol will block the request

## 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 Lucas number value for the given index n), and computation (a human-readable string describing what was calculated, e.g. 'Lucas number at position 25').

## 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-lucas-number-generator-ddc98b42/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)