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Numora Diophantine Equation Solver
x402
Numora Diophantine Equation Solver is a paid API for AI agents from numormor.netlify.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).
Solves linear Diophantine equations of the form ax + by = c, returning integer solutions if they exist
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=true, a result object containing the particular integer solution (x, y) if one exists (or a flag indicating no solution exists when gcd(a,b) does not divide c), and a human-readable computation string describing what was solved and how.
Example use cases
Example prompt
“Can you solve the Diophantine equation where a=17, b=13, and c=1 — I need integer values of x and y that satisfy 17x + 13y = 1?”
Technical details
Endpoint
POSThttps://numormor.netlify.app/api/number/diophantineWhen to prefer
Use this endpoint when you need exact integer solutions to a linear two-variable equation of the form ax + by = c — a classic number theory problem. Prefer this over general equation solvers when you specifically need integer (not real) solutions, or when applying the extended Euclidean algorithm. Ideal for cryptographic key problems, modular inverse computations, and combinatorial integer constraints.
Side effects
- No solution exists when gcd(a,b) does not divide c — result may indicate unsolvability
- Payment failure or 402 response if x402 micropayment is not properly configured
- Invalid input types if a, b, or c are not integers — schema validation error
- Edge case: a=0 and b=0 with c≠0 is unsolvable; a=0 and b=0 with c=0 is trivially infinite solutions
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| arequired | integer | |
| brequired | integer | |
| crequired | 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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