{"uid":"cap_3HtQl3EOKVpOU2ysr8xal","slug":"numora-mersenne-number-computation-4535c158","name":"Numora Mersenne Number Endpoint","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://numorapoi.orbonomy.xyz/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":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.03/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.03","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.03","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_70xEv-DSrj_DaJvNNcAr1","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.03","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the Mersenne number for a given integer exponent (2^p - 1), returning the full result and a human-readable computation description.","exampleAgentPrompt":"What is the Mersenne number for exponent 31? Use the Numora pure math API to compute 2^31 - 1 exactly.","exampleUseCases":null,"resultDescription":"Returns a JSON object with a boolean success flag, a result object containing the computed Mersenne number (2^exponent - 1), and a human-readable computation string describing what was calculated.","failureModes":["Missing required 'exponent' field returns validation error","Non-integer or negative exponent may return an error or undefined result","Very large exponents may cause timeout or computation overflow","Payment failure via x402 returns 402 Payment Required before computation occurs"],"whenToPreferThis":"Use this endpoint when you need to compute a Mersenne number (2^p - 1) for a specific integer exponent without any external dependencies. Ideal for number theory tasks, primality research, cryptographic key research, or educational math applications that require exact large-integer results.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T00:42:42.880Z","isFirstParty":false}