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Number Theory Is-Prime Checker
x402
Number Theory Is-Prime Checker is a paid API for AI agents from numtheory.openverbs.com, paid per call via x402, $0.004/call, status unknown (last checked 2026-09-14).
Determines whether a given non-negative integer is a prime number
Price / call$0.004
Success—
StatusUnknown
How this service works
Miller-Rabin primality test (with witnesses that are exact for all 64-bit integers) on an arbitrary-precision integer. Returns { prime }.
Output
The endpoint returns whether the submitted integer is prime or not, expressed as a boolean or equivalent primality flag, allowing the caller to immediately know the prime status of the input number.
Example use cases
Validate prime seed for cryptography
“I need to know if 7919 is a prime number before I use it as a seed in my cryptographic key generation — can you check that for me?”
Educational math homework helper
“My homework asks me to determine whether 561 is prime or composite. Can you run it through the prime checker and give me the answer?”
Filter primes from candidate list
“I have the number 104729 and I want to know if it's prime — can you check it right now?”
Technical details
Endpoint
POSThttps://numtheory.openverbs.com/v1/is-primeWhen to prefer
Choose this endpoint when you need a fast, on-demand primality test for a single integer without setting up a local math library. It is ideal for agents performing number-theoretic computations, cryptographic key validation workflows, educational math tools, or any pipeline that needs to gate logic on whether a number is prime. It accepts the integer as a decimal string, making it safe for arbitrarily large numbers that might overflow standard integer types.
Side effects
- Input 'n' not matching the pattern ^\d+$ (non-decimal or negative sign included) causes validation error
- Empty or missing 'n' field returns a 400-level error
- Extremely large integers may cause timeouts or overflow errors
- Malformed JSON body results in a parsing error
- Non-string type for 'n' (e.g. passing a JSON number instead of string) fails schema validation
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object |
Tags
x402
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