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Number Theory Modular Exponentiation (modpow)
x402
Number Theory Modular Exponentiation (modpow) 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).
Computes modular exponentiation: (base ^ exponent) mod modulus for arbitrarily large integers supplied as decimal strings.
Price / call$0.004
Success—
StatusUnknown
How this service works
Compute (base ^ exponent) mod modulus efficiently for arbitrary-precision integers. The modulus must be positive.
Output
Returns the computed value of (base ^ exponent) mod modulus as a decimal string, supporting arbitrarily large integers.
Example use cases
RSA encryption key verification
“For an RSA check, compute 65537 to the power of 3233 mod 3233 — I need the modular exponentiation result to verify my key pair.”
Fermat primality test step
“Run a Fermat primality test step for me: compute 2 to the power of 104728 (which is n-1) mod 104729 and tell me if the result is 1.”
Diffie-Hellman shared secret
“In a Diffie-Hellman exchange, the generator is 5, the private exponent is 87234, and the prime modulus is 23. What is 5 to the power of 87234 mod 23?”
Technical details
Endpoint
POSThttps://numtheory.openverbs.com/v1/modpowWhen to prefer
Choose this endpoint when you need server-side modular exponentiation on arbitrarily large integers without implementing big-integer libraries locally — especially for cryptographic primitives (RSA, Diffie-Hellman, primality testing) or number-theory computations where JavaScript/Python native integers may overflow or be slow. Prefer it over general-purpose math APIs when the specific operation is modpow and inputs are provided as decimal strings.
Side effects
- Non-numeric or negative base/exponent/modulus strings rejected with validation error
- Modulus of zero causes division-by-zero / invalid input error
- Missing required fields (base, exponent, or modulus) return 400-level schema validation error
- Payment not settled returns 402 Payment Required
- Extremely large inputs may time out or return a compute-limit error
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object |
Tags
x402
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