Millennium Prize Problem

E32278

The Millennium Prize Problem is one of seven famous unsolved mathematical problems designated by the Clay Mathematics Institute, each carrying a $1 million reward for a correct solution.

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AI-generated illustration of Millennium Prize Problem

This AI-generated illustration was produced by black-forest-labs/FLUX.2-dev (1024x1024) from a prompt written by openai/gpt-oss-120b from the entity's label + description.

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Generate an image of the Millennium Prize Problem (The Millennium Prize Problem is one of seven famous unsolved mathematical problems designated by the Clay Mathematics Institute, each carrying a $1 million reward for a correct solution.)

All labels observed (11)

How this entity was disambiguated

Statements (50)

Predicate Object
instanceOf collection of unsolved mathematical problems ⓘ
mathematical prize ⓘ
research program ⓘ
administeredBy Clay Mathematics Institute ⓘ
announcedAt Paris ⓘ
announcedOnOccasionOf World Mathematical Year 2000 ⓘ
field mathematics ⓘ
firstPrizeDecisionYear 2010 ⓘ
firstPrizeOfferedForSolution Poincaré Conjecture ⓘ
firstPrizeRecipient Grigori Perelman ⓘ
firstPrizeStatus declined by recipient ⓘ
firstSolutionRecognizedYear 2006 ⓘ
firstSolutionYear 2002 ⓘ
firstSolvedBy Grigori Perelman ⓘ
hasCondition solution must be accepted by the mathematical community ⓘ
solution must be published in a refereed mathematics journal ⓘ
solution must withstand two years of scrutiny ⓘ
hasEligibility open to anyone who can provide a correct solution ⓘ
hasFirstSolvedProblem Poincaré Conjecture ⓘ
hasLanguageOfOfficialStatement English ⓘ
hasMonetaryValuePerProblem 1000000 USD ⓘ
hasPrizeAmount 1000000 USD per problem ⓘ
hasProblem Birch and Swinnerton-Dyer Conjecture ⓘ
Hodge Conjecture ⓘ
Navier–Stokes existence and smoothness problem ⓘ
P versus NP problem ⓘ
Poincaré Conjecture ⓘ
Riemann Hypothesis ⓘ
linked to: Riemann hypothesis

Yang–Mills existence and mass gap problem ⓘ
hasSolvedProblem Poincaré Conjecture ⓘ
hasTotalMonetaryValue 7000000 USD ⓘ
hasWebsite https://www.claymath.org/millennium-problems ⓘ
inception 2000 ⓘ
includes Birch and Swinnerton-Dyer Conjecture ⓘ
Hodge Conjecture ⓘ
Navier–Stokes existence and smoothness problem ⓘ
P versus NP problem ⓘ
Poincaré Conjecture ⓘ
Riemann Hypothesis ⓘ
linked to: Riemann hypothesis

Yang–Mills existence and mass gap problem ⓘ
inspiredBy Hilbert problems ⓘ
namedBy Clay Mathematics Institute ⓘ
numberOfProblems 7 ⓘ
purpose to stimulate research in important unsolved problems in mathematics ⓘ
relatedTo Abel Prize ⓘ
Fields Medal ⓘ
selectionCriteria problems of great difficulty and broad interest ⓘ
sponsorCountry United States ⓘ
sponsorType private foundation ⓘ
statusOfMostProblems unsolved ⓘ

How these facts were elicited

Referenced by (17)

Full triples — surface form annotated when it differs from this entity's canonical label.

Navier–Stokes equations → associatedPrize → Millennium Prize Problem ⓘ
Clay Mathematics Institute → knownFor → Millennium Prize Problems ⓘ
linked to: Millennium Prize Problem
Clay Mathematics Institute → offers → Millennium Prize Problems ⓘ
linked to: Millennium Prize Problem
Clay Mathematics Institute → hasPart → Millennium Prize Problems program ⓘ
linked to: Millennium Prize Problem
Riemann hypothesis → listedIn → Clay Millennium Prize Problems ⓘ
linked to: Millennium Prize Problem
Riemann hypothesis → hasPrize → Clay Millennium Prize of 1 million US dollars ⓘ
linked to: Millennium Prize Problem
P versus NP problem → partOf → Millennium Prize Problems ⓘ
linked to: Millennium Prize Problem
Poincaré conjecture → partOf → Millennium Prize Problems ⓘ
linked to: Millennium Prize Problem
Hodge Conjecture → hasPrize → Clay Millennium Prize ⓘ
linked to: Millennium Prize Problem
Yang–Mills existence and mass gap problem → relatedTo → Clay Millennium Prize Problems ⓘ
linked to: Millennium Prize Problem
Grigori Perelman → awardReceived → Clay Millennium Prize (offered) ⓘ
linked to: Millennium Prize Problem
Grigori Perelman → declinedAward → Clay Millennium Prize ⓘ
linked to: Millennium Prize Problem
Clay Research Awards → relatedTo → Clay Millennium Prizes ⓘ
linked to: Millennium Prize Problem
Navier–Stokes existence and smoothness problem → listedIn → Clay Millennium Problems ⓘ
linked to: Millennium Prize Problem
Yang–Mills theory → associatedPrize → Clay Millennium Prize Problem ⓘ
linked to: Millennium Prize Problem
Smale’s 18 problems → relatedTo → Millennium Prize Problems ⓘ
linked to: Millennium Prize Problem
The Golden Ticket: P, NP, and the Search for the Impossible → relatedTo → Clay Mathematics Institute Millennium Prize Problems ⓘ
linked to: Millennium Prize Problem