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.

All labels observed (10)

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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
surface form: 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
surface form: Poincaré Conjecture
hasLanguageOfOfficialStatement English
hasMonetaryValuePerProblem 1000000 USD
hasPrizeAmount 1000000 USD per problem
hasProblem Birch and Swinnerton-Dyer Conjecture
Hodge Conjecture
Navier–Stokes equations
surface form: Navier–Stokes existence and smoothness problem

P versus NP problem
Poincaré conjecture
surface form: Poincaré Conjecture

Riemann hypothesis
surface form: Riemann Hypothesis

Yang–Mills existence and mass gap problem
hasSolvedProblem Poincaré conjecture
surface form: 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
surface form: Poincaré Conjecture

Riemann hypothesis
surface form: 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 of America
surface form: United States
sponsorType private foundation
statusOfMostProblems unsolved

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Referenced by (16)

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 Problem
this entity surface form: Millennium Prize Problems
Clay Mathematics Institute offers Millennium Prize Problem
this entity surface form: Millennium Prize Problems
Clay Mathematics Institute hasPart Millennium Prize Problem
this entity surface form: Millennium Prize Problems program
Riemann hypothesis listedIn Millennium Prize Problem
this entity surface form: Clay Millennium Prize Problems
Riemann hypothesis hasPrize Millennium Prize Problem
this entity surface form: Clay Millennium Prize of 1 million US dollars
P versus NP problem partOf Millennium Prize Problem
this entity surface form: Millennium Prize Problems
Poincaré conjecture partOf Millennium Prize Problem
this entity surface form: Millennium Prize Problems
Hodge Conjecture hasPrize Millennium Prize Problem
this entity surface form: Clay Millennium Prize
Yang–Mills existence and mass gap problem relatedTo Millennium Prize Problem
this entity surface form: Clay Millennium Prize Problems
Grigori Perelman awardReceived Millennium Prize Problem
this entity surface form: Clay Millennium Prize (offered)
Grigori Perelman declinedAward Millennium Prize Problem
this entity surface form: Clay Millennium Prize
Clay Research Awards relatedTo Millennium Prize Problem
this entity surface form: Clay Millennium Prizes
Navier–Stokes existence and smoothness problem listedIn Millennium Prize Problem
this entity surface form: Clay Millennium Problems
Yang–Mills theory associatedPrize Millennium Prize Problem
this entity surface form: Clay Millennium Prize Problem
Smale’s 18 problems relatedTo Millennium Prize Problem
this entity surface form: Millennium Prize Problems