{"uid":"cap_a2PLREtkf7iPY11Xm39dT","slug":"numora-bernoulli-number-generator-4d64db7a","name":"Numora Bernoulli Number Generator","description":"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.","url":"https://numomo.vercel.app/api/generate/bernoulli","method":"POST","headers":{},"bodySchema":{"type":"object","required":["n"],"properties":{"n":{"type":"integer"}}},"responseSchema":{"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"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.02","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"registry","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.02/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_wEH3ShjtXr3MdgpGMLcxw","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.02","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the nth Bernoulli number using exact rational arithmetic with no external dependencies","exampleAgentPrompt":"What is the 12th Bernoulli number? Use the Numora math API to compute B(12) exactly.","exampleUseCases":[{"title":"Euler–Maclaurin summation formula","prompt":"I'm computing a summation approximation using the Euler–Maclaurin formula and need the exact value of the 8th Bernoulli number — can you calculate B(8) for me?"},{"title":"Riemann zeta function at even integers","prompt":"I need the 6th Bernoulli number to evaluate the Riemann zeta function at a positive even integer — what is B(6)?"},{"title":"Number theory homework verification","prompt":"Can you compute the 4th Bernoulli number so I can verify my hand calculation for a number theory problem set?"}],"resultDescription":"A JSON object with a boolean success flag, the computed Bernoulli number result (exact rational or floating-point value), and a human-readable string describing what was computed (e.g. 'Bernoulli number B(n)')","failureModes":["Missing required parameter n returns a validation error","Non-integer or negative out-of-range n may return an error or undefined result","Very large n values may time out or exceed computation limits","Payment failure via x402 micropayment returns 402 status before computation begins"],"whenToPreferThis":"Choose this endpoint when you need an exact, on-demand Bernoulli number for a specific index without setting up a local math library — especially useful for agents doing symbolic math, number theory, or series approximations that require B(n) as a sub-computation. Prefer over general-purpose CAS tools when you need a lightweight, pay-per-call REST call with no auth setup.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T12:43:25.088Z","isFirstParty":false}