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  2. List of long mathematical proofs - Wikipedia

    en.wikipedia.org/wiki/List_of_long_mathematical...

    Such proofs often use computational proof methods and may be considered non-surveyable. As of 2011, the longest mathematical proof, measured by number of published journal pages, is the classification of finite simple groups with well over 10000 pages. There are several proofs that would be far longer than this if the details of the computer ...

  3. List of mathematics competitions - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematics...

    Mental Calculation World Cup — contest for the best mental calculators Primary Mathematics World Contest (PMWC) — worldwide competition Rocket City Math League (RCML) — Competition run by students at Virgil I. Grissom High School with levels ranging from Explorer (Pre-Algebra) to Discovery (Comprehensive)

  4. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    The other six Millennium Prize Problems remain unsolved, despite a large number of unsatisfactory proofs by both amateur and professional mathematicians. Andrew Wiles , as part of the Clay Institute's scientific advisory board, hoped that the choice of US$ 1 million prize money would popularize, among general audiences, both the selected ...

  5. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/lifestyle/10-hard-math-problems-even...

    The Game of Trees is a Mad Math Theory That Is Impossible to Prove The Collatz Conjecture In September 2019, news broke regarding progress on this 82-year-old question, thanks to prolific ...

  6. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  7. List of mathematical proofs - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_proofs

    Bertrand's postulate and a proof; Estimation of covariance matrices; Fermat's little theorem and some proofs; Gödel's completeness theorem and its original proof; Mathematical induction and a proof; Proof that 0.999... equals 1; Proof that 22/7 exceeds π; Proof that e is irrational; Proof that π is irrational

  8. World Cup mystery solved: Why is there so much stoppage time ...

    www.aol.com/sports/world-cup-mystery-solved-why...

    DOHA, Qatar — The five longest games in World Cup group stage history have all taken place over the first few days of the 2022 tournament. Stoppage time has occasionally stretched beyond 10 ...

  9. Proof by infinite descent - Wikipedia

    en.wikipedia.org/wiki/Proof_by_infinite_descent

    In mathematics, a proof by infinite descent, also known as Fermat's method of descent, is a particular kind of proof by contradiction [1] used to show that a statement cannot possibly hold for any number, by showing that if the statement were to hold for a number, then the same would be true for a smaller number, leading to an infinite descent and ultimately a contradiction. [2]