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)

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 (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 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