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Numora Mersenne Number Generator
x402
Numora Mersenne Number Generator is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).
Computes whether a given integer exponent produces a Mersenne prime (2^p - 1) and returns the resulting Mersenne number and its properties
Price / call$0.1
Success—
StatusUnknown
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 Mersenne number 2^p-1, whether it is prime, the exponent used, and related numeric properties), and computation (a human-readable string describing what was calculated).
Example use cases
Verify Mersenne prime for research
“I'm studying number theory — can you check if exponent 61 produces a Mersenne prime and give me the full value of 2^61 - 1?”
Educational prime number exploration
“I'm teaching a math class about prime numbers — can you compute the Mersenne number for exponent 7 and explain whether it's prime?”
Cryptography study: large prime lookup
“For a cryptography exercise, I need to know if exponent 127 yields a Mersenne prime — can you calculate 2^127 - 1 and tell me if it's prime?”
Technical details
Endpoint
POSThttps://numomo.vercel.app/api/number/mersenneWhen to prefer
Choose this endpoint when you need to compute or verify Mersenne numbers (2^p - 1) and their primality for a specific integer exponent, especially in number theory research, educational math contexts, or cryptography applications. Prefer this over general-purpose math libraries when you need a simple pay-per-call API with no setup, and over symbolic math APIs when you want a fast numeric result with a human-readable explanation included.
Side effects
- Missing or non-integer exponent returns a validation error
- Exponent too large may cause timeout or overflow
- Negative or zero exponent may return an error or unexpected result
- Payment failure via x402 returns 402 status before computation begins
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| exponentrequired | integer |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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