{"uid":"cap_uwjcfUIh7zhwJQ1QncJr0","slug":"numora-mersenne-number-generator-9f961bec","name":"Numora Mersenne 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://numormor.netlify.app/api/number/mersenne","method":"POST","headers":{},"bodySchema":{"type":"object","required":["exponent"],"properties":{"exponent":{"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":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":{"p10Cents":"10.0000","medianCents":"10.0000","p90Cents":"10.0000","minCents":"10.0000","maxCents":"10.0000","p95Cents":"10.0000","sampleCount":1,"varies":false,"failureChargeRate":1},"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_gt6xR8Y0WsuxuBJ-nbaaK","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Checks whether 2^exponent - 1 is a Mersenne prime and returns the resulting number and primality status","exampleAgentPrompt":"Check whether 2 raised to the power of 127 minus 1 is a Mersenne prime and tell me the resulting number.","exampleUseCases":null,"resultDescription":"Returns a JSON object with success=true, a result object containing the Mersenne number value and primality status, and a human-readable computation description string explaining what was computed.","failureModes":["Missing required 'exponent' field returns a validation error","Non-integer exponent value causes a schema validation failure","Very large exponents may exceed computation limits or time out","Payment failure via x402 returns HTTP 402 and no computation result","Negative or zero exponent may return an error or undefined result"],"whenToPreferThis":"Use this endpoint when you need to determine whether 2^p − 1 is a Mersenne prime for a specific integer exponent p, without installing any local math libraries. Ideal for number theory workflows, prime research pipelines, or educational math agents that need fast, dependency-free primality computation via micropayment.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T06:50:43.062Z","isFirstParty":false}