Millennium Prize Problem

E32278

collection of unsolved mathematical problems mathematical prize research program

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.

Aliases (4)

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 → 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 → 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 →

Referenced by (6)

Subject (surface form when different)	Predicate
Navier–Stokes equations →	associatedPrize
Clay Mathematics Institute ("Millennium Prize Problems program") →	hasPart
Riemann hypothesis ("Clay Millennium Prize of 1 million US dollars") →	hasPrize
Clay Mathematics Institute ("Millennium Prize Problems") →	knownFor
Riemann hypothesis ("Clay Millennium Prize Problems") →	listedIn
Clay Mathematics Institute ("Millennium Prize Problems") →	offers